Gauge-covariant properties of a linear nonautonomous quantum system: time-dependent even and odd coherent states

	Gauge-covariant properties of a linear nonautonomous quantum system: time-dependent even and odd coherent states
	Wei, LF ; Wang, SJ ; Lei, XL
刊名	JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
	2002-01-18
卷号	35 页码:435-445
ISSN号	0305-4470
英文摘要	A new method for finding the dynamical invariant for a general time-dependent harmonic oscillator is proposed by making use of two linearly independent solutions to the classical equation of motion. It is shown that the dynamical invariant for different gauged Hamiltonians are connected by time-dependent gauge transformations. Therefore. the representation whose bases are the instantaneous eigenstates of the invariant operator is a good representation for the quantum nonautonomous system. In this representation, the wavefunction of the system is gauge covariant and thus any observable physical effect is naturally independent of the choice of gauged Hamiltonians. The exact even and odd coherent states for a time-dependent harmonic oscillator are constructed in terms of these gauge covariant bases. The harmonic oscillator with periodically varying frequency is treated as a demonstration of our general approach.
WOS关键词	SOLVABLE HILL EQUATIONS ; HARMONIC-OSCILLATOR ; CANONICAL-TRANSFORMATIONS ; UNITARY TRANSFORMATIONS ; PHASE ; CONSTRUCTION ; MECHANICS ; SYMMETRY ; ALGEBRA ; TRAPS
WOS研究方向	Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000176075300021
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/37851]
专题	中国科学院近代物理研究所
通讯作者	Wei, LF
作者单位	1.Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China 2.SW Jiaotong Univ, Inst Modern Phys, Chengdu 610031, Peoples R China 3.Lanzhou Univ, Dept Modern Phys, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Wei, LF,Wang, SJ,Lei, XL. Gauge-covariant properties of a linear nonautonomous quantum system: time-dependent even and odd coherent states[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2002,35:435-445.
APA	Wei, LF,Wang, SJ,&Lei, XL.(2002).Gauge-covariant properties of a linear nonautonomous quantum system: time-dependent even and odd coherent states.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,35,435-445.
MLA	Wei, LF,et al."Gauge-covariant properties of a linear nonautonomous quantum system: time-dependent even and odd coherent states".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 35(2002):435-445.