Algebraic approach to non-separable two-dimensional Schrodinger equation: Ground states for polynomial and Morse-like potentials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10286198" target="_blank" >RIV/00216208:11320/14:10286198 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/14:00223393
Result on the web
<a href="http://dx.doi.org/10.2478/s11534-014-0484-5" target="_blank" >http://dx.doi.org/10.2478/s11534-014-0484-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2478/s11534-014-0484-5" target="_blank" >10.2478/s11534-014-0484-5</a>
Alternative languages
Result language
angličtina
Original language name
Algebraic approach to non-separable two-dimensional Schrodinger equation: Ground states for polynomial and Morse-like potentials
Original language description
This paper presents a direct algebraic method of searching for analytic solutions of the two-dimensional time-independent Schrodinger equation that is impossible to separate into two one-dimensional ones. As examples, two-dimensional polynomial and Morse-like potentials are discussed. Analytic formulas for the ground state wave functions and the corresponding energies are presented. These results cannot be obtained by another known method.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/EE2.3.30.0034" target="_blank" >EE2.3.30.0034: Support of inter-sectoral mobility and quality enhancement of research teams at Czech Technical University in Prague</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Central European Journal of Physics
ISSN
1895-1082
e-ISSN
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Volume of the periodical
12
Issue of the periodical within the volume
10
Country of publishing house
PL - POLAND
Number of pages
7
Pages from-to
730-736
UT code for WoS article
000340672400005
EID of the result in the Scopus database
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