Lubomír Skála
Publications

Some papers are available in the pdf format (Acrobat reader).

Thesis

  1. L. Skala, Electronic structure of small cubic particles with body centered cubic lattice. Tight binding method., Diploma thesis, Charles University, Prague 1971 (in Czech).
  2. L. Skala, Contribution to the theory of the electron structure of small particles, CSc. thesis, Charles University, Prague 1975 (in Czech).
  3. L. Skala, Analytic conditions for the existence of localized states in linear chains with an arbitrary number of impurities, RNDr. thesis, Charles University, Prague 1976 (in Czech).
  4. L. Skala, Theory of the electron structure of quantum systems with finite dimensions, DrSc. thesis, Charles University, Prague 1989 (in Czech).

Textbooks

  1. L. Skala, Kvantova teorie molekul, Vydavatelstvi Karolinum, Charles University, Prague 1995, 232 pages (in Czech).
  2. J. Fiala, L. Skala, Uvod do nelinearni fyziky, Matfyzpress, Prague 2003, ISBN 80-85863-99-5, 221 pages (in Czech).
  3. L. Skala, Uvod do kvantove mechaniky, Academia, Prague 2005, ISBN 80-200-1316-43, 282 pages (in Czech).
  4. J. Fiala, L. Skala, Uvod do nelinearni fyziky, Matfyzpress, Prague 2008, ISBN 978-80-7378-051-7, 223 pages (in Czech).
  5. L. Skala, Uvod do kvantove mechaniky, Karolinum, Praha 2011, ISBN 978-80-246-2022-0, 300 pages (in Czech).

Papers

  1. L. Skala, Impurity hamiltonian in dilute substitutional alloys, Czech. J. Phys. B25(1975), 839-840.
  2. L. Skala, Distribution of the eigenvalues of eigenproblem Ax=lambda Bx, Aplikace matematiky 20(1975), 227-231. pdf
  3. L. Skala, Analytic conditions for the existence of localized electron states in linear chains with two impurities, Czech. J. Phys. B26(1976), 199-207.
  4. L. Skala, On the electron structure of dilute substitutional alloys, phys. stat. sol. (b) 74(1976), K177-K180.
  5. L. Skala, Analytic conditions for the existence of localized electron states in a linear chain with an arbitrary number of impurities, Czech. J. Phys. B27(1977), 1152-1160.
  6. L. Skala, The eigenvalues of the symmetric eigenproblem Ax=lambda Bx and related eigenproblems, Aplikace matematiky 22(1977), 463-469. pdf
  7. L. Skala, Maximum differences of electron density of states of finite and infinite crystals, Czech. J. Phys. B27(1977), 171-181.
  8. O. Bilek, L. Skala, From finite to infinite crystals: Analytic solution of simple tight binding model of finite SC, FCC and BCC crystals of arbitrary size, Czech. J. Phys. B28(1978), 1003-1019. pdf
  9. L. Skala, E. Vavrinec, Electronic structure of some important chlorophylls, studia biophysica 72(1978), No. 1, 39-42. pdf
  10. F. Houzay, L. Skala, Surfaces and experimental techniques, Europhysics News 9(1978), No. 10, 14-15.
  11. L. Kunne, L. Skala, O. Bilek, From finite to infinite crystals: Some electronic properties of BCC clusters, Czech. J. Phys. B29(1979), 1030-1039. pdf
  12. L. Skala, A successful CNDO/BW parametrization for the calculation of lithium clusters, phys. stat. sol. (b) 103(1981), K27-K29.
  13. L. Skala, The CNDO/BW study of lithium clusters. I. Two-, three- and four-atomic clusters, phys. stat. sol. (b) 107(1981), 351-357.
  14. L. Skala, Generation of symmetry-adapted functions for molecular calculations, Comp. Phys. Comm. 24(1981), 135-140. pdf
  15. L. Skala, Overlap integrals between Gaussian s-, p- and d-functions, Acta Universitatis Carolinae - Mathematica et Physica 23(1982), 63-65. pdf
  16. L. Skala, The CNDO/BW study of lithium clusters. II. The BCC clusters, phys. stat. sol. (b) 109(1982), 733-741.
  17. L. Skala, The CNDO/BW study of lithium clusters. III. Different crystallographic structures, phys. stat. sol. (b) 110(1982), 299-306.
  18. L. Skala, O. Bilek, A new general method of the solution of the generalized master equation, phys. stat. sol. (b) 114(1982), K51-K54.
  19. L. Skala, O. Bilek, Algebraic representation of the generalized master equation, Acta Universitatis Carolinae - Mathematica et Physica 23(1982), 61-72.
  20. L. Skala, L. Kunne, H.-G. Fritsche, H. Muller, Cluster model for interstitial hydrogen bonding in nickel, phys. stat. sol. (b) 114 (1982), 439-448. pdf
  21. J. P. Wolfe, Termodynamika excitonu v polovodicich, Cs. cas. fyz. A33 (1983), 583. Translated from Physics Today 35 (1982), 46 by I. Pelant and L. Skala.
  22. O. Bilek, L. Skala, From finite to infinite crystals: Analytic cluster model for diamond lattice, Studies in Surface Science and Catalysis 9, Proceedings of the Symposium on physics of solid surfaces, Ed. M. Laznicka, Elsevier, Amsterdam 1982, 268.
  23. L. Skala, The CNDO/BW study of lithium clusters, Studies in Surface Science and Catalysis 9, Proceedings of the Symposium on physics of solid surfaces, Ed. M. Laznicka, Elsevier, Amsterdam 1982, 275.
  24. L. Skala, Calculation of the coherent memory functions from the eigenvalues and eigenvectors of the corresponding stationary Schrodinger equation, Int. J. Quant. Chem. 23(1983), 497-505.
  25. P. Pancoska, M. Kapoun, L. Skala, The effect of external charges on the absorption spectra of porphyrins. Quantum chemical discussion, Photochemistry and Photobiology 6(1983), 39-46.
  26. O. Bilek, L. Skala, L. Kunne, Tight-binding cluster model for C, Si and Ge, I. Analytic solution for s-states in diamond lattice, phys. stat. sol. (b) 117(1983), 675-681. pdf
  27. L. Kunne, L. Skala, O. Bilek, Tight-binding cluster model for C, Si and Ge, II. Size and shape dependence of some cluster properties, phys. stat. sol. (b) 118(1983), 173-178. pdf
  28. L. Skala, On the exp(-alpha t) damping of the coherent memory functions, phys. stat. sol. (b) 118(1983), K89-K92.
  29. P. Pancoska, K. Vacek, L. Skala, Model systems for studying chlorophyll-protein interactions, Proc. 6th Int. Congress on Photosynthesis, Brussels 1983, Advances in Photosynthesis Research, ed. C. Sybesma, Martinus Nijhoff/ Dr.W. Junk Publishers, The Hague, 21-24.
  30. J. P. Wolfe, Termodynamika excitonu v polovodicich, Cs. cas. fyz. A33 (1983), 583. Translated from Physics Today 35 (1982), 46 by I. Pelant and L. Skala.
  31. L. Skala, S. Zajac, Profesor Lubos Valenta sedesatilety, Czech. J. Phys. A34 (1984), 74-75 (in Czech).
  32. O. Valentova, L. Valenta, L. Skala, On the nematic-isotropic phase transition in liquid amyl-ethoxycyanostilben, Czech. J. Phys. B35(1985), 734-738.
  33. L. Skala, On the electronic structure of clusters: Convergence to the solid state properties, phys. stat. sol. (b) 127(1985), 567-571. pdf
  34. L. Skala, On the exp(-alpha t) damping of the coherent memory functions. One property of the equilibrium state. phys. stat. sol. (b) 128(1985), K149-K152.
  35. L. Skala, Electron transfer in chemisorption, phys. stat. sol. (b) 130(1985), K157-K162.
  36. L. Skala, V. M. Kenkre, Numerical studies of the effect of initial conditions on the quantum yield in sensitized luminescence, Phys. Lett. 114A (1986), 395-398.
  37. L. Skala, V. M. Kenkre, Interpolation formula for propagators in systems with intermediate degree of transport coherence, Z. Phys. B63(1986), 259-265. pdf
  38. V. Kapsa, O. Bilek, L. Skala, Effect of geometrical arrangement on experimental quantities in primary processes of photosynthesis, Chem. Phys. Lett. 128(1986), 595-601. pdf
  39. L. Skala, O. Bilek, A new efficient method of the solution of the Nakajima-Zwanzig generalized master equation, Bulletin de la Societe des Sciences et des Lettres de Lodz 36(1986), No. 17, p. 1-5. pdf
  40. O. Bilek, L. Skala, Exact propagator for coherent motion of excitons in linear chain with one impurity, Phys. Lett. A119(1986), 300-303. pdf
  41. L. Skala, P. Sladky, Prispevek k hodnoceni poruchovosti zarizeni parniho reformingu, Chemicky prumysl 36/61(1986), No. 12, s. 631-635 (in Czech).
  42. K. Vacek, M. Ambroz, O. Bilek, J. Hala, V. Kapsa, P. Pancoska, I. Pelant, L. Skala, L. Souckova, Effects of structure and geometry of pigment- protein complexes on experimental quantities in primary processes of photosynthesis, Progress in Photosynthesis Research, Vol. I, ed. J. Biggins, Martinus Nijhoff Publishers, Dortrecht 1986, 315-319.
  43. H. Muller, Ch. Opitz, K. Strickert, L. Skala, Abschatzung von Eigenschaften der Materie im hochdispersen Zustand - Praktische Anwendungen des analytischen Clustermodells (ACM), Z. phys. Chemie (Leipzig) 268(1987), 625-646.
  44. L. Skala, H. Muller, Analytic cluster model as a bridge between molecular and solid state physics, Springer, Lecture Notes in Physics, Vol. 269, PDMS and Clusters (Eds. E.R. Hilf, F. Kammer, K. Wien), Springer 1987, 144-150.
  45. J. Klima, L. Skala, Coherent motion of an exciton in a semiinfinite chain, Z. Phys. B69(1987), 97-102. pdf
  46. H. Muller, L. Skala, Ch. Opitz, K. Strickert, Berechnung von Eigeschaften des hochdispersen Zustandes der Materie, Wiss. Z. Friedrich-Schiller-Univ. Jena, Math.-Nat. R. 36(1987), 531-534.
  47. L. Skala, O. Bilek, Analytic solution of the Pauli master equation for the exciton motion in the infinite linear chain with a single trap, Phys. Lett. 125(1987), 262-266. pdf
  48. H. Muller, Ch. Opitz, K. Strickert, L. Skala, Properties of highly dipersed states of materials - quantification, Z. f. Chemie 27(1987), 194-194.
  49. L. Skala, P. Pancoska, Interpolation formula for the physical properties of polypeptides as a function of the number of amino acid residues, Chem. Phys. 125(1988), 21-30.
  50. P. Jungwirth, L. Skala, Exact solution of the Schrodinger equation for the infinite linear chain with a single trap, phys. stat. sol. (b) 147(1988), K149-K152.
  51. H. Muller, Ch. Opitz, S. Romanowski, L. Skala, On the Size Dependence of the Contact Potential and Its Consequences, phys. stat. sol. (b) 148(1988), K11-K15.
  52. L. Skala, V. Kapsa, Theory of Excitation Energy Transfer in the Primary Processes of Photosynthesis I. General Results, Chem. Phys. 137(1989), 77-92. pdf
  53. L. Skala, P. Jungwirth, Theory of Excitation Energy Transfer in the Primary Processes of Photosynthesis, II. Group Symmetry Analysis of the Bacterial Light-harvesting Complex, Chem. Phys. 137(1989), 93-98. pdf
  54. P. Jungwirth, L. Skala, R. Zahradnik, The Parity Non-conserving Energy Difference between Enantiomers and a Consequence of the CPT Theorem for Molecule-Antimolecule Pairs, Chem. Phys. Lett. 161(1989), 502-506. pdf
  55. H. Muller, C. Opitz, L. Skala, The Highly Dispersed Metal State - Physical and Chemical Properties, J. Mol. Catalysis 54(1989), 389-405. pdf
  56. L. Skala, A new version of the program for the generation of symmetry-adapted functions for molecular calculations, Comp. Phys. Comm. 58(1990), 343-344. pdf
  57. L. Skala, V. M. Kenkre, M.W. Weiser, J.D. Katz, Remarks on the Thermodynamics of Sintering of Ceramics, phys. stat. sol. (b) 162(1990), 429-434.
  58. V.M. Kenkre, L. Skala, M.W. Weiser, J.D. Katz, Theory of microwave effects on atomic diffusion in sintering: Basic considerations of the phenomenon of thermal runaway, MRS Proceeedings, Cambridge University Press, Vol. 189, 1990, p. 179.
  59. L. Skala, V.M. Kenkre, M.W. Weiser, J.D. Katz, Estimates for diffusion barriers and atomic potentials in MgO: CNDO/2 calculations for the study of microwave effects in sintering, MRS Proceeedings, Cambridge University Press, Vol. 189, 1990, p. 303.
  60. L. Skala, P. Capkova, Nitrogen vacancy and chemical bonding in substoichiometric vanadium nitride, J. Phys.: Condens. Matter 2 (1990), 8293-8301. pdf
  61. L. Skala, V. Kapsa, K. Vacek, Theoretical Investigation of Energy Transfer Processes in the Model Photosynthetic Systems II, VIII. International Congress on Photosynthesis, Stockholm, 6-11.8.1989, Current Research on Photosynthesis, Vols. 1-4, B825-B826 (1990).
  62. L. Skala, Interpolation Formulae for Describing Size Dependence of Properties of Finite Systems and their Use for Clusters and Biologically Important Molecules, J. Mol. Structure (Theochem), 227(1991), 103-109. pdf
  63. L. Skala, Approximate Formulae for Density of States of Disordered Linear Chains, J. Phys. C. 3(1991), 2639-2650. pdf
  64. L. Skala, V.M. Kenkre, M.W. Weiser, J.D. Katz, Vacancy Motion in Magnesium Oxide Analyzed via the CNDO/2 Cluster Model, phys. stat. sol. (b) 164 (1991), 515-524.
  65. H. Muller and L. Skala, Interpolation formulae for describing size dependence of properties of clusters and finite systems, Z. f. Kristallographie 196 (1991), 93-104. pdf
  66. V.M. Kenkre, L. Skala, M.W. Weiser, J.D. Katz, Theory of Microwave Effects on Atomic Diffusion in Sintering. Basic Considerations of the Phenomenon of Thermal Runaway, Meeting of the American Physical Society, 12-16 March, 1990 Anaheim, CA. Microwave Processing of Materials II, ed. W.B. Snyder, W.H. Sutton, M.F. Iskander, D. Lynn Johnson, Material Research Society Symp. Proc. Vol. 189, Materials Research Society, Pittsburgh, 1991, 179-184.
  67. L. Skala, V.M. Kenkre, M.W. Weiser, J.D. Katz, Estimates for Difussion Barriers and Atomic Potentials in MGO: CNDO/2 Calculations for the Study of Microwave Effects in Sintering, Meeting of the American Physical Society, 12-16 March, 1990 Anaheim, CA. Microwave Processing of Materials II, ed. W.B. Snyder, W.H. Sutton, M.F. Iskander, D. Lynn Johnson, Material Research Society Symp. Proc. Vol. 189, Materials Research Society, Pittsburgh, 1991, 303-308.
  68. V. M. Kenkre, L. Skala, M. W. Weiser, J. D. Katz, Theory of microwave interactions in ceramic materials - The phenomenon of thermal runaway, J. Mater. Sci. 26 (1991), 2483-2489.
  69. P. Capkova and L. Skala, Chemical Bonding and Lattice Relaxation in Substoichiometric Titanium Carbide and Nitride, phys. stat. sol (b) 171 (1992), 85.
  70. C. Aslangul, N. Pottier, P. Chvosta, D. Saint-James and L. Skala, Random-random Walk on an Asymmetric Chain with a Trapping Attractive Center, J. Stat. Phys. 69(1992), 17-34.
  71. together with O. Bilek a few hundred items from theoretical physics in Mala Ceskoslovenska Encyklopedie, Encyklopedicky Ustav CSAV, Prague 1984. Also some items in Encyklopedicky slovnik, Encyklopedicky dum and Odeon, Prague 1993 (in Czech).
  72. L. Skala, Deformation of physical and chemical properties of solids caused by the existence of a solid surface, in Deformations of Mathematical Structures II: Hurwitz-type structures and applications to surface physics: Selected papers from the Seminar on deformations, Lodz-malinka, Springer, Vol. 2, 1993, p. 317.
  73. V. Bonacic-Koutecky, P. Fantucci, J. Koutecky, D.A. Jelski, T.F. George, J.M. Vienneau, R.O. Jones, G.M. Pastor, K.H. Bennenmann, H. Muller, H.-G. Fritsche, L. Skala, S. Bjornholm, M. F. Jarrold, R.S. Berry, Theoretical Concepts, in Clusters of Atoms and Molecules, Springer, Berlin and Heidelberg, 1994, pp. 13-205.
  74. M. Chval, L. Skala, J. Fiala and J. Pokorny, External Field Effects on Charged Particle Oscillations, Neural Network World 4(1994), 295-298.
  75. P. Prokop and L. Skala, Theory of proton transport along hydrogen bond chain in external field, Chem. Phys. Lett. 223(1994), 279-282. pdf
  76. Ch. Opitz, H. Muller and L. Skala in Deformations of Mathematical Structures. Application to Surface Physics (Ed. J. Lawrynowicz), Kluwer Academic Publishers, Dortrecht 1994, 144.
  77. J. Dvorak, and L. Skala, Theory of excitation energy transfer in the primary processes of photosynthesis. III. Mono-exponential regime, Chem. Phys. 191(1995), 31-41. pdf
  78. V. Spirko, J. Cizek, L. Skala, Non-adiabatic corrections for coupled Morse oscillators using Hutson and Howard perturbation theory, J. Chem. Phys. 102(1995), 8916-8921. pdf
  79. H. Muller, H.-G. Fritsche and L. Skala, Analytic Cluster Models and Interpolation Formulae for Cluster Properties, in Clusters of Atoms and Molecules, Ed. H. Haberland, Springer-Verlag, Springer Series in Chemical Physics Vol. 52, Berlin 1995, 114-140.
  80. L. Skala, J. Cizek, A new efficient method for calculating perturbation energies using functions which are not quadratically integrable, J. Phys. A 29(1996), L129-L132. pdf
  81. L. Skala, J. Cizek, J. Dvorak and V.Spirko, A method for calculating analytical solutions of the Schrodinger equation. Anharmonic oscillators and generalized Morse oscillators. Phys. Rev. A 53 (1996), 2009-2020. pdf
  82. L. Skala, J. Cizek, Reply to comments on "A new efficient method for calculating perturbation energies using functions which are not quadratically integrable", J. Phys. A 29 (1996), 6467-6470. pdf
  83. J. Pokorny, J. Fiala, L. Skala, F. Jelinek, F. Srobar, V. Trkal, Biofyzikalni aspekty koherence a Frohlichovy teorie, Ceskoslovensky casopis pro fyziku, 46 (1996), 139-156 (in Czech).
  84. V. Kapsa and L. Skala, Remarks on Effect of Experimental Resolution of Observables, International Workshop on Clusters, Theory and Practice, Lodz, 7-10 September 1996, Bulletin de la Societe des Sciences et des Lettres de Lodz, Lodz, Vol. XLVI, Serie: Recherches sur les Deformations, Vol. XXII, 23-28, 1996. pdf
  85. L. Skala, J. Dvorak, Analytical solution of the Schrodinger equation for the modified quartic oscillator, International Workshop on Clusters, Theory and Practice, Lodz, 7-10 September 1996, Bulletin de la Societe des Sciences et des Lettres de Lodz, Lodz, Vol. XLVI, Serie: Recherches sur les Deformations, Vol. XXII, 11-12, 1996. pdf
  86. J. Dvorak, L. Skala, Analytical Solution of the Schrodinger Equation for Generalized Kratzer Potential, International Workshop on Clusters, Theory and Practice, Lodz, 7-10 September 1996, Bulletin de la Societe des Sciences et des Lettres de Lodz, Lodz, Vol. XLVI, Serie: Recherches sur les Deformations, Vol. XXII, 5-10, 1996. pdf
  87. L. Skala, J. Cizek, V. Kapsa and E.J. Weniger, Large order analysis of the convergent renormalized strong coupling perturbation theory for the quartic anharmonic oscillator, Phys. Rev. A56 (1997), 4471-4479. pdf
  88. L. Skala, J. Dvorak and V. Kapsa, Analytic Solution of the Schrodinger Equation for the Modified Quartic Oscillator, Int. J. Theor. Phys. 36 (1997), 2953-2961. pdf
  89. P. Toman, L. Skala, J. Pospisil, Ab initio calculations of conformational and electronic properties of conjugated polymers. Quasiparticles in poly(P-phenylene vinylene). Proceedings of the 6th Annual Conference of Doctoral Students - WDS'97, Prague, June 24-27, 1997.
  90. P. Toman, L. Skala, J. Pospisil, Conformational properties of poly(p-phenylene vinylene), Czech. J. Phys. 48 (1998), 507-511. V. Kapsa, L. Skala, Effect of Configurational Averaging on Observables, Czech. J. Phys. 48 (1998), 443-448. pdf
  91. P. Toman, L. Skala, J. Pospisil, Quantum mechanical calculations of electronic-conformational defects in phenylene vinylene oligomers, Vacuum 50 (1998), 223-226. pdf
  92. P. Toman, L. Skala, J. Pospisil, Conformational properties of quasiparticles in poly(p-phenylene vinylene), Adv. Mat. for Opt. and Electr. 8 (1998), 111-119.
  93. J. Dvorak, L. Skala, Analytical solutions of the Schrodinger equation. Ground state energies and wave functions, Collect. Czech. Chem. Commun. 63 (1998), 1161-1176. pdf
  94. J. Zamastil, L. Skala, P. Pancoska, O. Bilek, New approach to the theory of circular dichroism, Collect. Czech. Chem. Commun. 63 (1998), 1187-1201. pdf
  95. T. Mancal, J. Bok, L. Skala, Short time de-excitation dynamics of a two-level system. Non-perturbative solution of the master equation, J. Phys. A 31 (1998), 9429-9440. pdf
  96. L. Skala, J. Cizek, E. J. Weniger, and J. Zamastil, Large-order behavior of the convergent perturbation theory for anharmonic oscillators. Phys. Rev. A 59 (1999), 102-106. pdf
  97. L. Skala, J. Cizek, and J. Zamastil, Large-order behaviour of the strong coupling perturbation expansion for anharmonic oscillators, J. Phys. A 32 (1999), L123-L127. pdf
  98. L. Skala and J. Dvorak, Analytic solutions of the one-dimensional Schrodinger equation. Some new results and approaches, Bulletin de la Societe des Sciences et des Lettres de Lodz 49 (1999), 45-53. pdf
  99. P. Toman and L. Skala, Quantum mechanical study of the quasiparticles in poly(p-phenylene vinylene), Bulletin de la Societe des Sciences et des Lettres de Lodz 49 (1999), 55-64.
  100. J. Zamastil, J. Cizek, and L. Skala, Renormalized perturbation theory for quartic anharmonic oscillator, Annals of Physics (N.Y.) 276 (1999), 39-63. pdf
  101. L. Skala, J. Cizek, and J. Zamastil, Strong coupling perturbation expansions for anharmonic oscillators. Numerical results, J. Phys. A 32 (1999), 5715-5734. pdf
  102. J. Zamastil, J. Cizek, and L. Skala, WKB approach to calculating the lifetime of quasistationary states, Phys. Rev. Lett. 84 (2000), 5683-5686. pdf
  103. J. Zamastil, L. Skala, and J. Cizek, Large-order strong coupling perturbation coefficients for anharmonic oscillators, Int. J. Theor. Phys. 39 (2000), 2427-2434.
  104. J. Zamastil, J. Cizek, and L. Skala, WKB approach to calculating the lifetime of quasistationary states: Harmonic oscillator in polynomial perturbation, Phys. Rev. A 63 (2001), 022107-1 to 022107-11. pdf
  105. J. Zamastil, V. Spirko, J. Cizek, L. Skala and O. Bludsky, Multidimensional WKB approximation and the lifetime calculation, Phys. Rev. A 64 (2001), 042101-1 to 042101-11. pdf
  106. M. Kalhous, L. Skala, J. Zamastil, New approximate method of the solution of the Schrodinger equation. Proceedings of the 10th Annual Conference of Doctoral Students WDS 2001, Prague, June 12-15, 2001, ISBN 80-85863-73-1, pp. 624-627. pdf
  107. L. Skala, K. Bradler and V. Kapsa, Consistency requirement and operators in quantum mechanics, Czech. J. Phys. 52 (2002), 345-350. pdf
  108. L. Skala, M. Kalhous, J. Zamastil and J. Cizek, Perturbation theory using functions that are not quadratically integrable. J. Phys. A 35 (2002), L167-L174 pdf
  109. Z. Moravek, J. Fiala and L. Skala, Dynamics of a pair of coupled nonlinear oscillators. Czech. J. Phys. 52 (2002), 843-851.
  110. M. Kalhous, L. Skala, J. Zamastil, J. Cizek, New version of the Rayleigh-Schrodinger perturbation theory, Collect. Czech. Chem. Commun. 68 (2003), 295-306. pdf
  111. J. Cizek, J. Zamastil and L. Skala, New summation technique for rapidly divergent perturbation series. Hydrogen atom in magnetic field, J. Math. Phys. 44 (2003), 962-968. pdf
  112. M. Simanek, L. Skala, J. Zamastil, Convergent perturbation theory for multi-dimensional oscillators, Proceedings of Week of Doctoral studies 2003, Charles University, Prague, June 10-13, 2003, ed. J. Safrankova, matfyzpress, Prague 2003, ISBN 80-86732-18-5, pp. 660-664. pdf
  113. J. Zamastil, J. Cizek, M. Kalhous, L. Skala and M. Simanek, The use of so(2,1) algebra for the evaluation of atomic integrals: The study of two-electron atoms, J. Math. Phys. 45 (2004), 2674-2693. ps
  114. M. Kalhous, L. Skala, J. Zamastil, J. Cizek, New Version of the Rayleigh-Schrodinger Perturbation Theory: Examples, Int. J. Quant. Chem. 99 (2004), 325-335. pdf
  115. V. Tichy, L. Skala, Analytic Solutions of Multi-dimensional Schrodinger Equation, Proceedings of 13th Annual Conference of Doctoral Students WDS'04, Charles University, Faculty of Mathematics and Physics, Prague, June 15-18, 2004, ed. J. Safrankova, Matfyzpress, Prague 2004, ISBN 80-86732-32-0, pp. 417-422. pdf
  116. J. Zamastil, J. Simanek, J. Cizek, L. Skala, Method of variation of constants for difference equations and its application to the calculation of atomic integrals, J. Math. Phys. 46 (2005), 033504 pdf
  117. L. Skala, V. Kapsa, From probabilities to quantum and classical mechanics, physica E 29 (2005) 119-128 pdf
  118. L. Skala, V. Kapsa, Quantum mechanics needs no interpretation, Collect. Czech. Chem. Commun. 70, 621-637 (2005) pdf
  119. J. Zamastil, J. Cizek, M. Kalhous, L. Skala and M. Simanek, Erratum: The use of so(2,1) algebra for the evaluation of atomic integrals: The study of two-electron atoms [Journal of Mathematical Physics 45, 2674(2004)], J. Math. Phys. 46 (2005), 1.
  120. J. Zamastil, J. Cizek, L. Skala and M. Simanek, Calculation of the atomic integrals by means of so(2,1) algebra, in Advances in Computational Methods in Science and Engineering 2005, Vols. 4 A & 4 B, Lecture Series on Computer and Computational Sciences, Vol. 4A-4B, pp. 601-611 (2005).
  121. J. Zamastil, L. Skala, Large-order behavior of the perturbation energies for the hydrogen atom in magnetic field, J. Math. Phys. 47, 022106 (2006) pdf
  122. J. Zamastil, L. Skala, Multidimensional WKB approximation for tunneling along curved escape paths, Int. J. Theor. Phys. 46, 898 (2007) pdf
  123. L. Skala, V. Kapsa, Contribution to understanding the mathematical structure of quantum mechanics, Optics and Spectroscopy 103, 434-450 (2007) pdf
  124. L. Skala, V. Kapsa, On the first Schroedinger paper on quantum mechanics, International Review of Physics 1, 302-306 (2007) pdf
  125. L. Skala, V. Kapsa, Two multi-dimensional uncertainty relations, Journal of Physics A41, 265302 (2008) pdf
  126. V. Tichy, L. Skala, Analytic energies and wave functions of two-dimensional Schrodinger equation: Two-dimensional fourth-order polynomial potential, Collect. Czech. Chem. Commun. 73, 1327 (2008) pdf
  127. L. Skala, V. Kapsa, Heisenberg uncertainty relations can be replaced by stronger ones, International Journal of Quantum Chemistry 109, 1626-1630 (2009) pdf
  128. V. Kapsa, L. Skala From probabilities to Hamilton's principle, Journal of Physics A 42, 315202 (2009) pdf
  129. L. Skala, Quantum mechanics, mathematical statistics and deformed commutation relations, Hadronic Journal 33, 717-734 (2010) pdf
  130. V. Tichy, L. Skala, Analytic wave functions and energies for two-dimensional PT-symmetric quartic potentials, Central European Journal of Physics 8, 519-522 (2010) pdf
  131. V. Kapsa, L. Skala, J. Chen, From probabilities to mathematical structure of quantum mechanics, Physica E 42, 293-297 (2010) pdf
  132. J. Zamastil, J. Cizek, L. Skala and M. Simanek, Convergence study of the 1/Z expansion for the energy levels of two-electron atoms Phys. Rev. A 81, 032118 (2010) pdf
  133. L. Skala, V. Kapsa, Two uncertainty relations, Collect. Czech. Chem. Commun. 76 (2011), 399-406 pdf
  134. L. Skala, J. Cizek and V. Kapsa, Quantum mechanics as applied mathematical statistics, Annals of Physics 326 (2011), 1174-1188 pdf
  135. V. Kapsa, L. Skala, Quantum mechanics, probabilities and mathematical statistics, J. Comp. Theor. Nanoscience 8 (2011), 998-1005 pdf
  136. L. Skala, J. Cizek and V. Kapsa, Quantum mechanics and mathematical statistics, in Quantum Mechanics, Ed.: Jonathan P. Groffe, Nova Science Publishers, New York 2012, ISBN 978-1-61728-966-8-2 pdf
  137. L. Skala, V. Kapsa, Quantum Mechanics and Statistical Description of Results of Measurement, in Theoretical Concepts of Quantum Mechanics, Ed.: Mohammad Reza Pahlavani, InTech, Rijeka 2012, ISBN 978-953-51-0088-1 pdf http://www.intechopen.com/articles/show/title/quantum-mechanics-and-statistical-description-of-results-of-measurement
  138. V. Tichy, A. Kubena and L. Skala, Analytic energies and wave functions of the two-dimensional Schrodinger equation: Ground state of two-dimensional quartic potential and classification of solutions, Can. J. Phys. 90 (2012), 505-513 pdf
  139. L. Skala, Internal Structure of the Heisenberg and Robertson-Schrödinger Uncertainty Relations, Int. J. Theor. Phys. 52 (2013), 3393-3404, DOI 10.1007/s10773-013-1640-1 pdf
  140. L. Skala, Internal Structure of the Heisenberg and Robertson-Schrödinger Uncertainty Relations: Multidimensional generalization, Phys. Rev. A 88 (2013), 042118, DOI: 10.1103/PhysRevA.88.042118 pdf
  141. V. Tichy, L. Skala and R. Hudec, Algebraic approach to non-separable two-dimensional Schrödinger equation: Ground states for polynomial and Morse-like potentials, Cent. Eur. J. Phys. 12 (2014), 730-736 pdf
  142. L. Skįla, V. Kapsa and M. Lu˛ovį, Uncertainty relations, AIP Conference Proceedings 1642, 231 (2015) pdf http://dx.doi.org/10.1063/1.4906659

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