EXACT QUANTUM-THEORY OF A TIME-DEPENDENT BOUND QUADRATIC HAMILTONIAN SYSTEM

被引：65
|
作者：
YEON, KH
LEE, KK
UM, CI
GEORGE, TF
PANDEY, LN
机构：
[1] KOREA UNIV, COLL SCI, DEPT PHYS, SEOUL 136701, SOUTH KOREA
[2] WASHINGTON STATE UNIV, DEPT PHYS, PULLMAN, WA 99164 USA
[3] WASHINGTON STATE UNIV, DEPT CHEM, PULLMAN, WA 99164 USA
来源：
PHYSICAL REVIEW A | 1993年 / 48卷 / 04期
关键词：
D O I：
10.1103/PhysRevA.48.2716
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Using the path-integral method, the propagator, the wave function, and the expectation values are evaluated explicitly for a time-dependent bound quadratic Hamiltonian system. We also have derived the relation between the wave function and a dynamical invariant which determines whether or not the system is bound. The expectation value of the quantum-mechanical invariant obeys the uncertainty relation with an auxiliary condition as the solution of the classical equation of the system.
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页码：2716 / 2720
页数：5
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