Generalized eigenstates of the rate matrix in resonance scattering theory: Trapping eigenstates

F. Remacle; R. D. Levine

doi:10.1016/0375-9601(95)00978-7

Generalized eigenstates of the rate matrix in resonance scattering theory: Trapping eigenstates

F. Remacle^*
, R. D. Levine

^*Corresponding author for this work

Institute of Chemistry

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

7 Scopus citations

Abstract

For N nondegenerate quasi bound states ("resonances") coupled to K continuum channels (N > K), it is shown that the full effective Hamiltonian which describes the dynamics is diagonal in the generalized eigenstates of the rank deficient rate matrix, thereby having N - K stable ("trapping") eigenstates and K promptly decaying ones.

Original language	English
Pages (from-to)	284-288
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	211
Issue number	5
DOIs	https://doi.org/10.1016/0375-9601(95)00978-7
State	Published - 26 Feb 1996

Keywords

Decay widths
Effective hamiltonian
Generalized eigenstates
Overlapping resonances
Resonance scattering theory
Rydberg states
Trapping model

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10.1016/0375-9601(95)00978-7

Cite this

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abstract = "For N nondegenerate quasi bound states ({"}resonances{"}) coupled to K continuum channels (N > K), it is shown that the full effective Hamiltonian which describes the dynamics is diagonal in the generalized eigenstates of the rank deficient rate matrix, thereby having N - K stable ({"}trapping{"}) eigenstates and K promptly decaying ones.",

keywords = "Decay widths, Effective hamiltonian, Generalized eigenstates, Overlapping resonances, Resonance scattering theory, Rydberg states, Trapping model",

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year = "1996",

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AU - Levine, R. D.

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N2 - For N nondegenerate quasi bound states ("resonances") coupled to K continuum channels (N > K), it is shown that the full effective Hamiltonian which describes the dynamics is diagonal in the generalized eigenstates of the rank deficient rate matrix, thereby having N - K stable ("trapping") eigenstates and K promptly decaying ones.

AB - For N nondegenerate quasi bound states ("resonances") coupled to K continuum channels (N > K), it is shown that the full effective Hamiltonian which describes the dynamics is diagonal in the generalized eigenstates of the rank deficient rate matrix, thereby having N - K stable ("trapping") eigenstates and K promptly decaying ones.

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KW - Effective hamiltonian

KW - Generalized eigenstates

KW - Overlapping resonances

KW - Resonance scattering theory

KW - Rydberg states

KW - Trapping model

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JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5

ER -

Generalized eigenstates of the rate matrix in resonance scattering theory: Trapping eigenstates

Abstract

Keywords

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