A treatment of vibrational relaxation without the rotating wave approximation

Mary Jo Ondrechen; Abraham Nitzan; Mark A. Ratner

doi:10.1016/0301-0104(76)89022-2

A treatment of vibrational relaxation without the rotating wave approximation

Mary Jo Ondrechen^*, Abraham Nitzan, Mark A. Ratner

^*Corresponding author for this work

Chemistry

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

16 Scopus citations

Abstract

A harmonic oscillator weakly coupled to a heat bath is studied without invoking the rotating wave approximation. Correction to the lorentzian lineshape which characterizes the RWA are derived. An expression for the time evolution of the population of the oscillator which is exact in the van Hove weak coupling limit is also obtained. Our results are compared to earlier expressions which were obtained using the rotating wave approximation. p ]In our equation for the population of the oscillator, we observe an additional transient term, and we examine the time evolution of the population under a variety of conditions. The applicability of the rotating wave approximation is discussed in light of our results.

Original language	English (US)
Pages (from-to)	49-59
Number of pages	11
Journal	Chemical Physics
Volume	16
Issue number	1
DOIs	https://doi.org/10.1016/0301-0104(76)89022-2
State	Published - Aug 1 1976

ASJC Scopus subject areas

Physics and Astronomy(all)
Physical and Theoretical Chemistry

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10.1016/0301-0104(76)89022-2

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title = "A treatment of vibrational relaxation without the rotating wave approximation",

abstract = "A harmonic oscillator weakly coupled to a heat bath is studied without invoking the rotating wave approximation. Correction to the lorentzian lineshape which characterizes the RWA are derived. An expression for the time evolution of the population of the oscillator which is exact in the van Hove weak coupling limit is also obtained. Our results are compared to earlier expressions which were obtained using the rotating wave approximation. p ]In our equation for the population of the oscillator, we observe an additional transient term, and we examine the time evolution of the population under a variety of conditions. The applicability of the rotating wave approximation is discussed in light of our results.",

author = "Ondrechen, {Mary Jo} and Abraham Nitzan and Ratner, {Mark A.}",

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AU - Ondrechen, Mary Jo

AU - Nitzan, Abraham

AU - Ratner, Mark A.

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N2 - A harmonic oscillator weakly coupled to a heat bath is studied without invoking the rotating wave approximation. Correction to the lorentzian lineshape which characterizes the RWA are derived. An expression for the time evolution of the population of the oscillator which is exact in the van Hove weak coupling limit is also obtained. Our results are compared to earlier expressions which were obtained using the rotating wave approximation. p ]In our equation for the population of the oscillator, we observe an additional transient term, and we examine the time evolution of the population under a variety of conditions. The applicability of the rotating wave approximation is discussed in light of our results.

AB - A harmonic oscillator weakly coupled to a heat bath is studied without invoking the rotating wave approximation. Correction to the lorentzian lineshape which characterizes the RWA are derived. An expression for the time evolution of the population of the oscillator which is exact in the van Hove weak coupling limit is also obtained. Our results are compared to earlier expressions which were obtained using the rotating wave approximation. p ]In our equation for the population of the oscillator, we observe an additional transient term, and we examine the time evolution of the population under a variety of conditions. The applicability of the rotating wave approximation is discussed in light of our results.

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A treatment of vibrational relaxation without the rotating wave approximation

Abstract

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