Time evolution of a time-dependent inverted harmonic oscillator in arbitrary dimensions

doi:10.1088/1751-8113/45/11/115301

	Time evolution of a time-dependent inverted harmonic oscillator in arbitrary dimensions
	Guo, Guang-Jie 1; Ren, Zhong-Zhou 1,2; Ju, Guo-Xing 1; Guo, Xiao-Yong 1
刊名	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
	2012-03-23
卷号	45
ISSN号	1751-8113
DOI	10.1088/1751-8113/45/11/115301
文献子类	Article
英文摘要	The time evolution of a time-dependent inverted harmonic oscillator (TDIHO) of arbitrary dimensions is investigated. Using the algebraic method, we obtain the exact orthogonal basis of solutions of a TDIHO in which the dimensionality d and angular momentum l appear as parameters, and also discuss its properties. With the wavepacket as the initial state, the general expressions of sojourn time of a TDIHO are given. The method is also applied to the inverted Caldirola-Kanai harmonic oscillator. The results show that the sojourn time appears as an increasing function of the dissipation parameter in arbitrary dimensions, but a decreasing function of the dimensionality.
资助项目	Research Fund of Doctoral Point[20100091110028]
WOS关键词	QUANTUM ; QUANTIZATION ; SPHERE
WOS研究方向	Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000301353200013
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/48781]
专题	中国科学院近代物理研究所
通讯作者	Guo, Guang-Jie
作者单位	1.Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China 2.Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Guo, Guang-Jie,Ren, Zhong-Zhou,Ju, Guo-Xing,et al. Time evolution of a time-dependent inverted harmonic oscillator in arbitrary dimensions[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2012,45.
APA	Guo, Guang-Jie,Ren, Zhong-Zhou,Ju, Guo-Xing,&Guo, Xiao-Yong.(2012).Time evolution of a time-dependent inverted harmonic oscillator in arbitrary dimensions.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,45.
MLA	Guo, Guang-Jie,et al."Time evolution of a time-dependent inverted harmonic oscillator in arbitrary dimensions".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 45(2012).