Time-dependent general quantum quadratic Hamiltonian system

被引：31

作者：

Yeon, KH ^{[1
]}

Um, CI

George, TF

机构：

[1] Chungbuk Natl Univ, Dept Phys, Cheonju 361763, Chungbuk, South Korea

[2] Korea Univ, Dept Phys, Seoul 136701, South Korea

[3] Univ Missouri, Dept Chem, St Louis, MO 63121 USA

[4] Univ Missouri, Dept Biochem, St Louis, MO 63121 USA

[5] Univ Missouri, Dept Phys & Astron, St Louis, MO 63121 USA

来源：

PHYSICAL REVIEW A | 2003年 / 68卷 / 05期

关键词：

D O I：

10.1103/PhysRevA.68.052108

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Solutions of the Schrodinger equation and propagators for the general quadratic and the linear Hamiltonian system of canonical variables whose coefficients are arbitrary and time dependent are obtained when the corresponding classical solution is oscillatory, linear, or monotonic. All of them are given by the coefficients of the Hamiltonian and the classical solution of the system under the conditions for which the classical solution exists.

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页数：9

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