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Suitability of a square step potential as an oscillator potential
Author(s) -
Gustav Klaus,
Colditz Roland
Publication year - 1981
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560190302
Subject(s) - eigenvalues and eigenvectors , square (algebra) , finite potential well , schrödinger equation , physics , periodic potential , particle in a box , mathematics , quantum mechanics , mathematical analysis , classical mechanics , quantum , geometry
The time‐independent Schrödinger equation for a one‐dimensional square step potential with impenetrable walls was solved to prove the suitability as an oscillator potential. The mathematical structure of the eigenvalue conditions and the number of eigenstates within one potential step are discussed.