Quantum probability measure for parametric oscillators

被引:11
作者
Amosov, GG
Man'ko, VI
机构
[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Russia
[2] PN Lebedev Phys Inst, Moscow 117924, Russia
关键词
D O I
10.1016/j.physleta.2003.08.045
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A driven oscillator with time-dependent frequency is studied in the framework of quantum probability measure approach. Propagator for the measure evolution of the parametric oscillator is obtained in explicit form. Relation to tomographic description of the parametric oscillator states is established. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:287 / 291
页数:5
相关论文
共 14 条
[1]  
AMOSOV GG, QUANTPH0304182
[2]   A TOMOGRAPHIC APPROACH TO WIGNER FUNCTION [J].
BERTRAND, J ;
BERTRAND, P .
FOUNDATIONS OF PHYSICS, 1987, 17 (04) :397-405
[3]  
Dodonov V V, 1989, P LEB PHYS I NOV SCI, P183
[4]   SPACE-TIME APPROACH TO NON-RELATIVISTIC QUANTUM MECHANICS [J].
FEYNMAN, RP .
REVIEWS OF MODERN PHYSICS, 1948, 20 (02) :367-387
[5]  
GLAUBER RJ, 1993, P INT C QUANT OPT IN, P1
[6]  
HOLEVO AS, 2001, LECT NOTES PHYSICS, V67
[7]   MISCELLANEA IN ELEMENTARY QUANTUM MECHANICS .2. [J].
HUSIMI, K .
PROGRESS OF THEORETICAL PHYSICS, 1953, 9 (04) :381-402
[8]   AN EXACT QUANTUM THEORY OF TIME-DEPENDENT HARMONIC OSCILLATOR AND OF A CHARGED PARTICLE IN A TIME-DEPENDENT ELECTROMAGNETIC FIELD [J].
LEWIS, HR ;
RIESENFELD, WB .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (08) :1458-+
[9]   COHERENT STATES AND EXCITATION OF N-DIMENSIONAL NON-STATIONARY FORCED OSCILLATOR [J].
MALKIN, IA ;
MANKO, VI .
PHYSICS LETTERS A, 1970, A 32 (04) :243-&
[10]   WIGNER FUNCTION AND PROBABILITY-DISTRIBUTION FOR SHIFTED AND SQUEEZED QUADRATURES [J].
MANCINI, S ;
MANKO, VI ;
TOMBESI, P .
QUANTUM AND SEMICLASSICAL OPTICS, 1995, 7 (04) :615-623