Exact Quantum Solutions for Time-Dependent Charged Oscillator

被引：1

作者：

Choi, Jeong Ryeol ^{[1
]}

Yeon, Kyu Hwang ^{[2
,3
]}

Maamache, Mustapha ^{[4
]}

Menouar, Salah ^{[4
]}

机构：

[1] Kyungpook Natl Univ, Sch Elect Engn & Comp Sci, Taegu 702701, South Korea

[2] Chungbuk Natl Univ, Coll Nat Sci, Phys Program BK21, Cheongju 361763, Chungbuk, South Korea

[3] Chungbuk Natl Univ, Coll Nat Sci, Dept Phys, Cheongju 361763, Chungbuk, South Korea

[4] Univ Ferhat Abbas Setif, Fac Sci, Dept Phys, Lab Phys Quant & Syst Dynam, Setif 19000, Algeria

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2009年 / 78卷 / 05期

关键词：

charged oscillator; invariant operator; unitary transformation; wave function; SPIKED HARMONIC-OSCILLATORS; CALDIROLA-KANAI OSCILLATOR; SINGULAR PERTURBATION; TRANSFORMATION APPROACH; UNITARY TRANSFORMATION; ADIABATIC INVARIANTS; CONTINUOUS-SPECTRUM; COHERENT STATES; OPERATOR METHOD;

D O I：

10.1143/JPSJ.78.054001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The quantum states for a time-dependent charged oscillator are investigated by an invariant operator method and a unitary transformation approach. The wave functions are derived precisely in both cases of discrete and continuous quantum spectra. By choosing time functions of the Hamiltonian in different forms, our theory can be applied to diverse types of quantum dynamical systems. In the limit of a simple case, we confirmed that our result associated with a discrete spectrum recovers to that of Storchak.

引用

页数：7

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