Some papers are available in the pdf format
(Acrobat reader).
Thesis
- L. Skala, Electronic structure of small cubic particles with body
centered cubic lattice. Tight binding method.,
Diploma thesis, Charles University, Prague 1971 (in Czech).
- L. Skala, Contribution to the theory of the electron structure of small
particles, CSc. thesis, Charles University, Prague 1975 (in Czech).
- 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).
- L. Skala, Theory of the electron structure of quantum systems with finite
dimensions, DrSc. thesis, Charles University, Prague 1989 (in Czech).
Textbooks
- L. Skala, Kvantova teorie molekul, Vydavatelstvi Karolinum,
Charles University, Prague 1995, 232 pages (in Czech).
- J. Fiala, L. Skala, Uvod do nelinearni fyziky, Matfyzpress,
Prague 2003, ISBN 80-85863-99-5, 221 pages (in Czech).
- L. Skala, Uvod do kvantove mechaniky, Academia, Prague 2005,
ISBN 80-200-1316-43, 282 pages (in Czech).
- J. Fiala, L. Skala, Uvod do nelinearni fyziky, Matfyzpress,
Prague 2008, ISBN 978-80-7378-051-7, 223 pages (in Czech).
- L. Skala, Uvod do kvantove mechaniky, Karolinum, Praha 2011,
ISBN 978-80-246-2022-0, 300 pages (in Czech).
Papers
- L. Skala, Impurity hamiltonian in dilute substitutional alloys,
Czech. J. Phys. B25(1975), 839-840.
- L. Skala, Distribution of the eigenvalues of eigenproblem Ax=lambda Bx,
Aplikace matematiky 20(1975), 227-231.
pdf
- L. Skala, Analytic conditions for the existence of localized electron
states in linear chains with two impurities, Czech. J. Phys. B26(1976),
199-207.
- L. Skala, On the electron structure of dilute substitutional alloys,
phys. stat. sol. (b) 74(1976), K177-K180.
- 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.
- L. Skala, The eigenvalues of the symmetric eigenproblem Ax=lambda Bx
and related eigenproblems, Aplikace matematiky 22(1977), 463-469.
pdf
- L. Skala, Maximum differences of electron density of states of finite
and infinite crystals, Czech. J. Phys. B27(1977), 171-181.
- 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
- L. Skala, E. Vavrinec, Electronic structure of some important
chlorophylls, studia biophysica 72(1978), No. 1, 39-42.
pdf
- F. Houzay, L. Skala, Surfaces and experimental techniques,
Europhysics News 9(1978), No. 10, 14-15.
- 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
- L. Skala, A successful CNDO/BW parametrization for the calculation of
lithium clusters, phys. stat. sol. (b) 103(1981), K27-K29.
- L. Skala, The CNDO/BW study of lithium clusters. I. Two-, three- and
four-atomic clusters, phys. stat. sol. (b) 107(1981), 351-357.
- L. Skala, Generation of symmetry-adapted functions for molecular
calculations, Comp. Phys. Comm. 24(1981), 135-140.
pdf
- L. Skala, Overlap integrals between Gaussian s-, p- and d-functions,
Acta Universitatis Carolinae - Mathematica et Physica 23(1982), 63-65.
pdf
- L. Skala, The CNDO/BW study of lithium clusters. II. The BCC clusters,
phys. stat. sol. (b) 109(1982), 733-741.
- L. Skala, The CNDO/BW study of lithium clusters. III. Different
crystallographic structures, phys. stat. sol. (b) 110(1982), 299-306.
- L. Skala, O. Bilek, A new general method of the solution of the
generalized master equation, phys. stat. sol. (b) 114(1982), K51-K54.
- L. Skala, O. Bilek, Algebraic representation of the generalized master
equation, Acta Universitatis Carolinae - Mathematica et Physica 23(1982),
61-72.
- 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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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
- 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
- L. Skala, On the exp(-alpha t) damping of the coherent memory functions,
phys. stat. sol. (b) 118(1983), K89-K92.
- 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.
- 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.
- L. Skala, S. Zajac, Profesor Lubos Valenta sedesatilety,
Czech. J. Phys. A34 (1984), 74-75 (in Czech).
- O. Valentova, L. Valenta, L. Skala, On the nematic-isotropic phase
transition in liquid amyl-ethoxycyanostilben, Czech. J. Phys. B35(1985),
734-738.
- L. Skala, On the electronic structure of clusters: Convergence to the
solid state properties, phys. stat. sol. (b) 127(1985), 567-571.
pdf
- 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.
- L. Skala, Electron transfer in chemisorption, phys. stat. sol. (b)
130(1985), K157-K162.
- 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.
- L. Skala, V. M. Kenkre, Interpolation formula for propagators in systems
with intermediate degree of transport coherence, Z. Phys. B63(1986),
259-265.
pdf
- 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
- 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
- O. Bilek, L. Skala, Exact propagator for coherent motion of excitons in
linear chain with one impurity, Phys. Lett. A119(1986), 300-303.
pdf
- L. Skala, P. Sladky, Prispevek k hodnoceni poruchovosti zarizeni parniho
reformingu, Chemicky prumysl 36/61(1986), No. 12, s. 631-635 (in Czech).
- 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.
- 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.
- 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.
- J. Klima, L. Skala, Coherent motion of an exciton in a semiinfinite chain,
Z. Phys. B69(1987), 97-102.
pdf
- 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.
- 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
- H. Muller, Ch. Opitz, K. Strickert, L. Skala,
Properties of highly dipersed states of materials - quantification,
Z. f. Chemie 27(1987), 194-194.
- 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.
- 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.
- 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.
- 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
- 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
- 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
- H. Muller, C. Opitz, L. Skala, The Highly Dispersed Metal State - Physical
and Chemical Properties, J. Mol. Catalysis 54(1989), 389-405.
pdf
- 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
- 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.
- 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.
- 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.
- L. Skala, P. Capkova, Nitrogen vacancy and chemical bonding in
substoichiometric vanadium nitride,
J. Phys.: Condens. Matter 2 (1990), 8293-8301.
pdf
- 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).
- 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
- L. Skala, Approximate Formulae for Density of States of Disordered Linear
Chains, J. Phys. C. 3(1991), 2639-2650.
pdf
- 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.
- 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
- 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.
- 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.
- 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.
- P. Capkova and L. Skala, Chemical Bonding and Lattice Relaxation in
Substoichiometric Titanium Carbide and Nitride,
phys. stat. sol (b) 171 (1992), 85.
- 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.
- 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).
- 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.
- 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.
- M. Chval, L. Skala, J. Fiala and J. Pokorny, External Field Effects on
Charged Particle Oscillations, Neural Network World 4(1994), 295-298.
- P. Prokop and L. Skala, Theory of proton transport along hydrogen bond
chain in external field, Chem. Phys. Lett. 223(1994), 279-282.
pdf
- 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.
- 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
- 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
- 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.
- 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
- 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
- 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
- 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).
- 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
- 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
- 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
- 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
- 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
- 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.
- 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
- P. Toman, L. Skala, J. Pospisil, Quantum mechanical calculations
of electronic-conformational defects in phenylene vinylene
oligomers, Vacuum 50 (1998), 223-226.
pdf
- 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.
- 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
- 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
- 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
- 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
- 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
- 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
- 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.
- J. Zamastil, J. Cizek, and L. Skala,
Renormalized perturbation theory for quartic anharmonic
oscillator,
Annals of Physics (N.Y.) 276 (1999), 39-63.
pdf
- L. Skala, J. Cizek, and J. Zamastil,
Strong coupling perturbation expansions for anharmonic
oscillators. Numerical results,
J. Phys. A 32 (1999), 5715-5734.
pdf
- J. Zamastil, J. Cizek, and L. Skala,
WKB approach to calculating the lifetime of quasistationary
states,
Phys. Rev. Lett. 84 (2000), 5683-5686.
pdf
- J. Zamastil, L. Skala, and J. Cizek,
Large-order strong coupling perturbation coefficients for
anharmonic oscillators,
Int. J. Theor. Phys. 39 (2000), 2427-2434.
- 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
- 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
- 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
- L. Skala, K. Bradler and V. Kapsa,
Consistency requirement and operators in quantum mechanics,
Czech. J. Phys. 52 (2002), 345-350.
pdf
- 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
- Z. Moravek, J. Fiala and L. Skala,
Dynamics of a pair of coupled nonlinear oscillators.
Czech. J. Phys. 52 (2002), 843-851.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- L. Skala, V. Kapsa,
From probabilities to quantum and classical mechanics,
physica E 29 (2005) 119-128
pdf
- L. Skala, V. Kapsa,
Quantum mechanics needs no interpretation,
Collect. Czech. Chem. Commun. 70, 621-637 (2005)
pdf
- 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.
- 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).
- 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
- J. Zamastil, L. Skala,
Multidimensional WKB approximation for tunneling along curved escape paths,
Int. J. Theor. Phys. 46, 898 (2007)
pdf
- L. Skala, V. Kapsa,
Contribution to understanding the mathematical structure of quantum mechanics,
Optics and Spectroscopy 103, 434-450 (2007)
pdf
- L. Skala, V. Kapsa,
On the first Schroedinger paper on quantum mechanics,
International Review of Physics 1, 302-306 (2007)
pdf
- L. Skala, V. Kapsa,
Two multi-dimensional uncertainty relations,
Journal of Physics A41, 265302 (2008)
pdf
- 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
- L. Skala, V. Kapsa,
Heisenberg uncertainty relations can be replaced by stronger ones,
International Journal of Quantum Chemistry 109, 1626-1630 (2009)
pdf
- V. Kapsa, L. Skala
From probabilities to Hamilton's principle,
Journal of Physics A 42, 315202 (2009)
pdf
- L. Skala,
Quantum mechanics, mathematical statistics and deformed commutation relations,
Hadronic Journal 33, 717-734 (2010)
pdf
- 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
- V. Kapsa, L. Skala, J. Chen,
From probabilities to mathematical structure of quantum mechanics,
Physica E 42, 293-297 (2010)
pdf
- 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
- L. Skala, V. Kapsa,
Two uncertainty relations,
Collect. Czech. Chem. Commun. 76 (2011), 399-406
pdf
- L. Skala, J. Cizek and V. Kapsa,
Quantum mechanics as applied mathematical statistics,
Annals of Physics 326 (2011), 1174-1188
pdf
- V. Kapsa, L. Skala,
Quantum mechanics, probabilities and mathematical statistics,
J. Comp. Theor. Nanoscience 8 (2011), 998-1005
pdf
- 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
- 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
- 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
- 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
- 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
- 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
- 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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