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

113 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

Access to Document

10.1016/0009-2614(83)85071-4

Cite this

@article{cd7039d1be4f49869ed8ae9365750981,

title = "Representation of one-dimensional motion in a morse potential by a quadratic hamiltonian",

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.",

author = "Levine, \{R. D.\}",

year = "1983",

month = feb,

day = "25",

doi = "10.1016/0009-2614(83)85071-4",

language = "אנגלית",

volume = "95",

pages = "87--90",

journal = "Chemical Physics Letters",

issn = "0009-2614",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - Representation of one-dimensional motion in a morse potential by a quadratic hamiltonian

AU - Levine, R. D.

PY - 1983/2/25

Y1 - 1983/2/25

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0002089752

U2 - 10.1016/0009-2614(83)85071-4

DO - 10.1016/0009-2614(83)85071-4

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0002089752

SN - 0009-2614

VL - 95

SP - 87

EP - 90

JO - Chemical Physics Letters

JF - Chemical Physics Letters

IS - 2

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this