### 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) |
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Pages (from-to) | 022704/1-022704/3 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 66 |

Issue number | 2 |

State | Published - Aug 1 2002 |

### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

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## Cite this

Cheng, H., Rabitz, H., & Forrey, R. C. (2002). Parametric equations of motion for the transition operator and the Green's operator.

*Physical Review A - Atomic, Molecular, and Optical Physics*,*66*(2), 022704/1-022704/3.