Exact Quantum Solutions for Time-Dependent Charged Oscillator

被引：0

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

共 50 条

[1] AN EXACT QUANTUM THEORY OF TIME-DEPENDENT HARMONIC OSCILLATOR AND OF A CHARGED PARTICLE IN A TIME-DEPENDENT ELECTROMAGNETIC FIELD
LEWIS, HR
RIESENFELD, WB
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (08) : 1458 - +
[2] Quantum and classical exact solutions of the time-dependent driven generalized harmonic oscillator
Liang, ML
Wu, HB
PHYSICA SCRIPTA, 2003, 68 (01) : 41 - 44
[3] Quantum and classical exact solutions of harmonic oscillator in a time-dependent magnetic field
Liang, ML
Liu, LY
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 43 (06) : 1027 - 1029
[4] Quantum and Classical Exact Solutions of Harmonic Oscillator in a Time-Dependent Magnetic Field
LIANG Mai-Lin
LIU Li-Yan Department of Applied Physics
Communications in Theoretical Physics, 2005, 43 (06) : 1027 - 1029
[5] Forced time-dependent harmonic oscillator in a static magnetic field: Exact quantum and classical solutions
Liang, ML
Zhang, WQ
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2003, 42 (12) : 2881 - 2889
[6] Forced Time-Dependent Harmonic Oscillator in a Static Magnetic Field: Exact Quantum and Classical Solutions
Mai-Lin Liang
Wen-Qing Zhang
International Journal of Theoretical Physics, 2003, 42 : 2881 - 2889
[7] On the exact solutions of the damped harmonic oscillator with a time-dependent damping constant and a time-dependent angular frequency
Cha, Jihun
Jang, Eun Ji
Jung, Min
Kim, Do yeon
Kim, Da Hong
Lee, Young Kyu
Park, Sucheol
Kim, Kyun Seok
Chung, Won Sang
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2015, 67 (02) : 404 - 408
[8] On the exact solutions of the damped harmonic oscillator with a time-dependent damping constant and a time-dependent angular frequency
Jihun Cha
Eun Ji Jang
Min Jung
Do yeon Kim
Da Hong Kim
Young Kyu Lee
Sucheol Park
Kyun Seok Kim
Won Sang Chung
Journal of the Korean Physical Society, 2015, 67 : 404 - 408
[9] Exact solutions of Feinberg–Horodecki equation for time-dependent anharmonic oscillator
P K Bera
Tapas Sil
Pramana, 2013, 80 : 31 - 39
[10] Complete exact quantum states of the generalized time-dependent harmonic oscillator
Pedrosa, IA
MODERN PHYSICS LETTERS B, 2004, 18 (24): : 1267 - 1274

← 1 2 3 4 5 →