Representation of one-dimensional motion in a morse potential by a quadratic hamiltonian

R. D. Levine

doi:10.1016/0009-2614(83)85071-4

Representation of one-dimensional motion in a morse potential by a quadratic hamiltonian

R. D. Levine^*

^*Corresponding author for this work

Institute of Chemistry

Research output: Contribution to journal › Article › peer-review

110 Scopus citations

Abstract

A representation of the algebraic hamiltonian for the anharmonic Morse oscillator as a quadratic form, H = T1ω( 1 2P² + 1 2Q²), where P and Q are operators is derived. The commutator of P and Q is an operator that tends to i (times the identity operator) in the harmonic limit. Coherent states and anharmonic normal modes for a linear triatomic molecule are discussed as potential applications.

Original language	English
Pages (from-to)	87-90
Number of pages	4
Journal	Chemical Physics Letters
Volume	95
Issue number	2
DOIs	https://doi.org/10.1016/0009-2614(83)85071-4
State	Published - 25 Feb 1983

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abstract = "A representation of the algebraic hamiltonian for the anharmonic Morse oscillator as a quadratic form, H = T1ω( 1 2P2 + 1 2Q2), where P and Q are operators is derived. The commutator of P and Q is an operator that tends to i (times the identity operator) in the harmonic limit. Coherent states and anharmonic normal modes for a linear triatomic molecule are discussed as potential applications.",

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AB - A representation of the algebraic hamiltonian for the anharmonic Morse oscillator as a quadratic form, H = T1ω( 1 2P2 + 1 2Q2), where P and Q are operators is derived. The commutator of P and Q is an operator that tends to i (times the identity operator) in the harmonic limit. Coherent states and anharmonic normal modes for a linear triatomic molecule are discussed as potential applications.

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Representation of one-dimensional motion in a morse potential by a quadratic hamiltonian

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