A CLASS OF EXACTLY SOLVED TIME-DEPENDENT QUANTUM HARMONIC-OSCILLATORS

被引：33
|
作者：
KIM, SP
机构：
[1] Dept. of Phys., Kunsan Nat. Univ.
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 11期
关键词：
D O I：
10.1088/0305-4470/27/11/039
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a class of time-dependent harmonic oscillators, H(t) = p2/2mt(alpha) + momega2t(b)q2/2, whose mass and frequency vary as non-negative powers of time. Classically they describe damping oscillators slowly decaying as negative powers of time. Using the connection between classical and quantum harmonic oscillators we find analytically the Lewis-Riesenfeld invariants, obtain the exact quantum states, and compare these with the Caldirola-Kanai oscillator.
引用
收藏
页码：3927 / 3936
页数：10
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