Published June 15, 2005 | Version v1
Journal article Metadata-only

Quantum and Classical Exact Solutions of Harmonic Oscillator in a Time-Dependent Magnetic Field

Creators

  • 1. Department of Applied Physics, School of Science, Tianjin University, Tianjin 300072 (China)

Description

In cylindrical coordinate, exact wave functions of the two-dimensional time-dependent harmonic oscillator in a time-dependent magnetic field are derived by using the trial function method. Meanwhile, the exact classical solution as well as the classical phase is obtained too. Through the Heisenberg correspondence principle, the quantum solution and the classical solution are connected together.

Availability note (English)

Available from http://dx.doi.org/10.1088/0253-6102/43/6/013

Additional details

Identifiers

DOI
10.1088/0253-6102/43/6/013;

Publishing Information

Journal Title
Communications in Theoretical Physics
Journal Volume
43
Journal Issue
6
Journal Page Range
p. 1027-1029
ISSN
0253-6102

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41105724
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
COORDINATES; CYLINDRICAL CONFIGURATION; EXACT SOLUTIONS; HARMONIC OSCILLATORS; MAGNETIC FIELDS; TIME DEPENDENCE; TWO-DIMENSIONAL CALCULATIONS; WAVE FUNCTIONS
Descriptors DEC
CONFIGURATION; FUNCTIONS; MATHEMATICAL SOLUTIONS