SU(1,1) coherent states for the generalized two-mode time-dependent quadratic Hamiltonian system

被引：5
|
作者：
Choi, Jeong Ryeol [3 ]
Yeon, Kyu Hwang [1 ,2 ]
机构：
[1] Chungbuk Natl Univ, Coll Nat Sci, Phys Program BK21, Cheongju 361763, Chungbuk, South Korea
[2] Chungbuk Natl Univ, Coll Nat Sci, Dept Phys, Cheongju 361763, Chungbuk, South Korea
[3] Sun Moon Univ, Dept Phys & Adv Mat Sci, Asan 336708, South Korea
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2008年 / 47卷 / 07期
关键词：
SU(1,1) coherent states; time-dependent quadratic Hamiltonian system; Caldirola-Kanai oscillator;
D O I：
10.1007/s10773-007-9634-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The SU(1, 1) coherent states, so-called Barut-Girardello coherent state and Perelomov coherent state, for the generalized two-mode time-dependent quadratic Hamiltonian system are investigated through SU(1, 1) Lie algebraic formulation. Two-mode Schrodinger cat states defined as an eigenstate of (K) over cap (2)(-) are also studied. We applied our development to two-mode Caldirola-Kanai oscillator which is a typical example of the time-dependent quadratic Hamiltonian system. The time evolution of the quadrature distribution for the probability density in the coherent states are analyzed for the two-mode Caldirola-Kanai oscillator by plotting relevant figures.
引用
收藏
页码：1891 / 1910
页数：20
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