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One‐Center matrix elements for the morse oscillator
Author(s) -
Sandoval L.,
Palma A.
Publication year - 1990
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.560382448
Subject(s) - harmonic oscillator , morse code , center (category theory) , diagonal , operator (biology) , mathematics , matrix (chemical analysis) , morse potential , anharmonicity , diagonal matrix , mathematical physics , mathematical analysis , physics , quantum mechanics , geometry , chemistry , computer science , telecommunications , biochemistry , repressor , chromatography , transcription factor , gene , crystallography
We have derived exact analytical expressions for the diagonal matrix elements 〈 n | x k | n 〉, k = 1, 2, for the Morse oscillator using the operator algebra of the two‐dimensional harmonic oscillator and the method of the parameter differentiation. These expressions avoid the roundoff error present in other relations. The method can be extended to other integrals where k > 2.