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Eigenwerte, Eigenfunktionen und thermodynamische Funktionen des linearen Oszillators 6 ter Potenz
Author(s) -
Heilbronner E.,
Rutishauser H.,
Gerson F.
Publication year - 1959
Publication title -
helvetica chimica acta
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.74
H-Index - 82
eISSN - 1522-2675
pISSN - 0018-019X
DOI - 10.1002/hlca.19590420703
Subject(s) - chemistry , eigenvalues and eigenvectors , maxima and minima , harmonic oscillator , mathematical physics , physics , mathematical analysis , quantum mechanics , mathematics
A previously described method for the automatic calculation of the eigenvalues of a particle moving in a potential expressible as V (ξ) = υ 1 ξ + υ 2 ξ 2 + … + υ k ξ k ( k even) has been applied to calculate the eigenvalues for the linear sixth power oscillator. The thermodynamic functions of this oscillator have been obtained and its wave function and transition integrals have been compared with those of the linear fourth power oscillator. An example has been given of the use of the sixth power potential as the base potential in double minima problems.