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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

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

  • 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