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Journal
Open Physics
2010
|
8
|
4
| 519-522
Article title
Analytic wave functions and energies for two-dimensional $$
\mathcal{P}\mathcal{T}
$$-symmetric quartic potentials
Authors
Vladimír Tichý
,
Lubomír Skála
Content
Full texts:
Title variants
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
Physical description
Dates
published
1 - 8 - 2010
online
22 - 5 - 2010
Contributors
author
Vladimír Tichý
vladimir-tichy@email.cz
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]
Document Type
Publication order reference
Identifiers
DOI
10.2478/s11534-009-0127-4
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0127-4
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