Photon-added coherent states for the Morse oscillator

Dušan Popov; Ioan Zaharie; Shi Hai Dong

doi:10.1007/s10582-006-0077-7

Photon-added coherent states for the Morse oscillator

Dušan Popov, Ioan Zaharie, Shi Hai Dong

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

18 Scopus citations

Abstract

In the paper we have constructed and investigated some properties of the Perelomov's "generalized coherent states" and photon-added coherent states for the Morse one-dimensional Hamiltonian (MO-PACSs) using the SU(2) group generators. We have found the integration measure in the resolution of unity and we have calculated some expectation values in the MO-PACSs representation. Using these states the diagonal P-representation of the density operator is constructed as a new result for Morse potential. In addition we have calculated some thermal expectation values for the quantum canonical diatomic gas of the Morse oscillators.

Original language	English
Pages (from-to)	157-176
Number of pages	20
Journal	Czechoslovak Journal of Physics
Volume	56
Issue number	2
DOIs	https://doi.org/10.1007/s10582-006-0077-7
State	Published - Feb 2006
Externally published	Yes

Keywords

Coherent states
Density matrix
Morse oscillator
Thermal expectations

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10.1007/s10582-006-0077-7

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title = "Photon-added coherent states for the Morse oscillator",

abstract = "In the paper we have constructed and investigated some properties of the Perelomov's {"}generalized coherent states{"} and photon-added coherent states for the Morse one-dimensional Hamiltonian (MO-PACSs) using the SU(2) group generators. We have found the integration measure in the resolution of unity and we have calculated some expectation values in the MO-PACSs representation. Using these states the diagonal P-representation of the density operator is constructed as a new result for Morse potential. In addition we have calculated some thermal expectation values for the quantum canonical diatomic gas of the Morse oscillators.",

keywords = "Coherent states, Density matrix, Morse oscillator, Thermal expectations",

author = "Du{\v s}an Popov and Ioan Zaharie and Dong, {Shi Hai}",

note = "Funding Information: Two of the authors (D. P. and I. Z.) wish to thank the Romanian National Council of Scientific Research for financial support by the Grant CNCSIS A647.",

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doi = "10.1007/s10582-006-0077-7",

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journal = "Czechoslovak Journal of Physics",

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TY - JOUR

T1 - Photon-added coherent states for the Morse oscillator

AU - Popov, Dušan

AU - Zaharie, Ioan

AU - Dong, Shi Hai

N1 - Funding Information: Two of the authors (D. P. and I. Z.) wish to thank the Romanian National Council of Scientific Research for financial support by the Grant CNCSIS A647.

PY - 2006/2

Y1 - 2006/2

N2 - In the paper we have constructed and investigated some properties of the Perelomov's "generalized coherent states" and photon-added coherent states for the Morse one-dimensional Hamiltonian (MO-PACSs) using the SU(2) group generators. We have found the integration measure in the resolution of unity and we have calculated some expectation values in the MO-PACSs representation. Using these states the diagonal P-representation of the density operator is constructed as a new result for Morse potential. In addition we have calculated some thermal expectation values for the quantum canonical diatomic gas of the Morse oscillators.

AB - In the paper we have constructed and investigated some properties of the Perelomov's "generalized coherent states" and photon-added coherent states for the Morse one-dimensional Hamiltonian (MO-PACSs) using the SU(2) group generators. We have found the integration measure in the resolution of unity and we have calculated some expectation values in the MO-PACSs representation. Using these states the diagonal P-representation of the density operator is constructed as a new result for Morse potential. In addition we have calculated some thermal expectation values for the quantum canonical diatomic gas of the Morse oscillators.

KW - Coherent states

KW - Density matrix

KW - Morse oscillator

KW - Thermal expectations

UR - http://www.scopus.com/inward/record.url?scp=33644625432&partnerID=8YFLogxK

U2 - 10.1007/s10582-006-0077-7

DO - 10.1007/s10582-006-0077-7

M3 - Artículo

SN - 0011-4626

VL - 56

SP - 157

EP - 176

JO - Czechoslovak Journal of Physics

JF - Czechoslovak Journal of Physics

IS - 2

ER -

Photon-added coherent states for the Morse oscillator

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Keywords

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