Analytic wave functions and energies for two-dimensional $$
\mathcal{P}\mathcal{T}
$$-symmetric quartic potentials

• Authors: Vladimír Tichý , Lubomír Skála
• Languages of publication: EN

Abstracts

EN

Analytic wave functions and the corresponding energies for a class of the $$
\mathcal{P}\mathcal{T}
$$-symmetric two-dimensional quartic potentials are found. The general form of the solutions is discussed.

Keywords

EN

PT-symmetry; analytic solution; anharmonic oscillator; polynomial potential; Schrödinger equation

Discipline

• 03.65.Fd: Algebraic methods(see also 02.20.-a Group theory)
• 03.65.Ge: Solutions of wave equations: bound states

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 4
• Pages: 519-522

Dates

published

1 - 8 - 2010

online

22 - 5 - 2010

Contributors

author

Vladimír Tichý

• Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 12116, Prague 2, Czech Republic

author

Lubomír Skála

References

• [1] F. Cannata, G. Junker, J. Trost, Phys. Lett. A246, 219 (1998)
• [2] M. Znojil, J. Phys. A36, 7825 (2003)
• [3] M. Znojil, J. Phys. A35, 2341 (2002)
• [4] M. Znojil, J. Phys. A36, 7639 (2003)
• [5] E. Delabaere, F. Pham, Phys. Lett. A250, 25 (1998)
• [6] E. Delabaere, F. Pham, Phys. Lett. A250, 29 (1998)
• [7] G. Lévai, J. Phys. A40, F273 (2007)
• [8] V. Tichý, L. Skála, Collect. Czech. Chem. C. 73, 1327 (2008) http://dx.doi.org/10.1135/cccc20081327[Crossref]
• [9] L. Skála, J. Čížek, J. Dvořák, V. Špirko, Phys. Rev. A 53, 2009 (1996) http://dx.doi.org/10.1103/PhysRevA.53.2009[Crossref]
• [10] J. Dvořák, L. Skála, Collect. Czech. Chem. C. 63, 1161 (1998) http://dx.doi.org/10.1135/cccc19981161[Crossref]
• [11] L. Skála, J. Dvořák, V. Kapsa, Int. J. Theor. Phys. 36, 2953 (1997) http://dx.doi.org/10.1007/BF02435720[Crossref]

Identifiers

DOI

10.2478/s11534-009-0127-4