Parametric equations of motion for the transition operator and the Green's operator

Hansong Cheng; Herschel Rabitz; Robert C. Forrey

Parametric equations of motion for the transition operator and the Green's operator

Hansong Cheng, Herschel Rabitz, Robert C. Forrey

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

Abstract

A more comprehensive parametric equation of motion (PEM) approach to a general quantum many-body system for both discrete bound states and continuous scattering states is presented. For demonstration purposes, the derivation of PEMs for physically important quantities, the transition operator, and the Green's operator is outlined. It is shown that the PEMs can successfully replace the numerically difficult boundary value problem with an equivalent initial value problem.

Original language	English (US)
Article number	022704
Pages (from-to)	022704/1-022704/3
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	66
Issue number	2
State	Published - Aug 2002
Externally published	Yes

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

Cite this

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AB - A more comprehensive parametric equation of motion (PEM) approach to a general quantum many-body system for both discrete bound states and continuous scattering states is presented. For demonstration purposes, the derivation of PEMs for physically important quantities, the transition operator, and the Green's operator is outlined. It is shown that the PEMs can successfully replace the numerically difficult boundary value problem with an equivalent initial value problem.

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Parametric equations of motion for the transition operator and the Green's operator

Abstract

All Science Journal Classification (ASJC) codes

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