Some papers are available in the pdf format
(Acrobat reader).
- 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
- 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. 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
- 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
- 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, 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
html
- 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, Uvod do kvantove mechaniky, Karolinum, Praha 2011,
ISBN 978-80-246-2022-0, 300 pages (in Czech)
- 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 as applied mathematical statistics,
Annals of Physics 326 (2011), 1174-1188
pdf
- L. Skala, V. Kapsa,
Two uncertainty relations,
Collect. Czech. Chem. Commun. 76 (2011), 399-406
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
- V. Kapsa, L. Skala, J. Chen,
From probabilities to mathematical structure of quantum mechanics,
Physica E 42, 293-297 (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
- L. Skala,
Quantum mechanics, mathematical statistics and deformed commutation relations,
Hadronic Journal 33, 717-734 (2010)
pdf
- V. Kapsa, L. Skala,
From probabilities to Hamilton's principle,
Journal of Physics A 42, 315202 (2009)
pdf
- L. Skala, V. Kapsa,
Heisenberg uncertainty relations can be replaced by stronger ones,
International Journal of Quantum Chemistry 109, 1626-1630 (2009)
pdf
- J. Fiala, L. Skala, Uvod do nelinearni fyziky, Matfyzpress,
Prague 2008, ISBN 978-80-7378-051-7, 223 pages (in Czech).
- 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,
Two multi-dimensional uncertainty relations,
Journal of Physics A41, 265302 (2008)
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,
Contribution to understanding the mathematical structure of quantum mechanics,
Optics and Spectroscopy 103, 434-450 (2007)
pdf
- J. Zamastil, L. Skala,
Multidimensional WKB approximation for tunneling along curved escape paths,
Int. J. Theor. Phys. 46, 898 (2007)
pdf
- 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, 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, 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.
- L. Skala, V. Kapsa,
Quantum mechanics needs no interpretation,
Collect. Czech. Chem. Commun. 70, 621-637 (2005)
pdf
- L. Skala, V. Kapsa,
From probabilities to quantum and classical mechanics,
physica E 29 (2005) 119-128
pdf
- L. Skala, Uvod do kvantove mechaniky, Academia, Prague 2005,
ISBN 80-200-1316-43, 282 pages (in Czech).
- 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
- 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.
- 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
- 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
- J. Fiala, L. Skala, Uvod do nelinearni fyziky, Matfyzpress,
Prague 2003, ISBN 80-85863-99-5, 221 pages (in Czech).
- 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.
- 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. Kalhous, L. Skala, J. Zamastil, J. Cizek, New version of
the Rayleigh-Schrodinger perturbation theory,
Collect. Czech. Chem. Commun. 68 (2003), 295-306.
pdf
- Z. Moravek, J. Fiala and L. Skala,
Dynamics of a pair of coupled nonlinear oscillators.
Czech. J. Phys. 52 (2002), 843-851.
- 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
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- L. Skala, K. Bradler and V. Kapsa,
Consistency requirement and operators in quantum mechanics,
Czech. J. Phys. 52 (2002), 345-350.
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
- 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, 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,
Phys. Rev. Lett. 84 (2000), 5683-5686.
pdf
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