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Description
  • This paper presents a direct algebraic method of searching for analytic solutions of the two-dimensional time-independent Schrödinger 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.
  • This paper presents a direct algebraic method of searching for analytic solutions of the two-dimensional time-independent Schrödinger 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. (en)
Title
  • Algebraic approach to non-separable two-dimensional Schrödinger equation: Ground states for polynomial and Morse-like potentials
  • Algebraic approach to non-separable two-dimensional Schrödinger equation: Ground states for polynomial and Morse-like potentials (en)
skos:prefLabel
  • Algebraic approach to non-separable two-dimensional Schrödinger equation: Ground states for polynomial and Morse-like potentials
  • Algebraic approach to non-separable two-dimensional Schrödinger equation: Ground states for polynomial and Morse-like potentials (en)
skos:notation
  • RIV/68407700:21230/14:00223393!RIV15-MSM-21230___
http://linked.open...avai/riv/aktivita
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  • I, P(EE2.3.30.0034)
http://linked.open...iv/cisloPeriodika
  • 10
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  • 2142
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  • RIV/68407700:21230/14:00223393
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  • algebraic methods; analytical methods; quantum mechanics (en)
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [1E2E1A128F6F]
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  • Central European Journal of Physics
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  • 12
http://linked.open...iv/tvurceVysledku
  • Hudec, René
  • Tichý, Vladimír
  • Skála, L.
http://linked.open...ain/vavai/riv/wos
  • 000340672400005
issn
  • 1895-1082
number of pages
http://bibframe.org/vocab/doi
  • 10.2478/s11534-014-0484-5
http://localhost/t...ganizacniJednotka
  • 21230
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