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2013 | 11 | 8 | 977-983
Tytuł artykułu

A class of exactly solvable models for the Schrödinger equation

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We present a class of confining potentials which allow one to reduce the one-dimensional Schrödinger equation to a named equation of mathematical physics, namely either Bessel’s or Whittaker’s differential equation. In all cases, we provide closed form expressions for both the symmetric and antisymmetric wavefunction solutions, each along with an associated transcendental equation for allowed eigenvalues. The class of potentials considered contains an example of both cusp-like single wells and a double-well.
Wydawca
Czasopismo
Rocznik
Tom
11
Numer
8
Strony
977-983
Opis fizyczny
Daty
wydano
2013-08-01
online
2013-10-23
Twórcy
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0301-6
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