Resonance energy and width operators in dilatation transformed dynamical systems

Fang Zhao; Meishan Zhao

doi:10.1016/j.physleta.2007.01.068

Resonance energy and width operators in dilatation transformed dynamical systems

Fang Zhao, Meishan Zhao

Division of Rheumatology

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4 Scopus citations

Abstract

This Letter is concerned with locating dynamical resonances, as well as with algebraic calculations of resonance energy and lifetime based on rigged Hilbert space analysis. We present a derivation, from complex dilatation transformation, of a pair of operators corresponding to dynamical resonance energy and resonance width. These operators yield the well-known results for the case of a harmonic system. We also illustrate the resonance and lifetime calculation by application to dynamical resonances supported by a Morse potential barrier.

Original language	English
Pages (from-to)	376-379
Number of pages	4
Journal	Physics Letters A
Volume	365
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2007.01.068
State	Published - Jun 11 2007

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10.1016/j.physleta.2007.01.068

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title = "Resonance energy and width operators in dilatation transformed dynamical systems",

abstract = "This Letter is concerned with locating dynamical resonances, as well as with algebraic calculations of resonance energy and lifetime based on rigged Hilbert space analysis. We present a derivation, from complex dilatation transformation, of a pair of operators corresponding to dynamical resonance energy and resonance width. These operators yield the well-known results for the case of a harmonic system. We also illustrate the resonance and lifetime calculation by application to dynamical resonances supported by a Morse potential barrier.",

author = "Fang Zhao and Meishan Zhao",

year = "2007",

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AU - Zhao, Meishan

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N2 - This Letter is concerned with locating dynamical resonances, as well as with algebraic calculations of resonance energy and lifetime based on rigged Hilbert space analysis. We present a derivation, from complex dilatation transformation, of a pair of operators corresponding to dynamical resonance energy and resonance width. These operators yield the well-known results for the case of a harmonic system. We also illustrate the resonance and lifetime calculation by application to dynamical resonances supported by a Morse potential barrier.

AB - This Letter is concerned with locating dynamical resonances, as well as with algebraic calculations of resonance energy and lifetime based on rigged Hilbert space analysis. We present a derivation, from complex dilatation transformation, of a pair of operators corresponding to dynamical resonance energy and resonance width. These operators yield the well-known results for the case of a harmonic system. We also illustrate the resonance and lifetime calculation by application to dynamical resonances supported by a Morse potential barrier.

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VL - 365

SP - 376

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JO - Physics Letters A

JF - Physics Letters A

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Resonance energy and width operators in dilatation transformed dynamical systems

Abstract

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