Analytical solutions of the three-dimensional Schrodinger equation with an exponentially changing effective mass

	Analytical solutions of the three-dimensional Schrodinger equation with an exponentially changing effective mass
	Cai, CY ; Ren, ZZ ; Ju, GX
刊名	ACTA PHYSICA SINICA
	2005-06-01
卷号	54 页码:2528-2533
关键词	Schrodinger equation analytical solutions coordinate transformation effective mass
ISSN号	1000-3290
英文摘要	For an effective mass distribution that is an exponential function of the radial coordinate, the analytical solutions of the three-dimensional Schrodinger equation are obtained by using the coordinate transformation method for the reference problems with Coulomb potential, Kratzer potential and spherically square potential well of infinite depth, respectively. The explicit analytical expressions for the energy eigenvalues and the corresponding eigenfunctions of the three systems are presented.
WOS关键词	DEPENDENT EFFECTIVE MASSES ; SUPERSYMMETRIC APPROACH ; QUANTUM-MECHANICS ; OSCILLATOR ; POTENTIALS ; SYSTEMS
WOS研究方向	Physics
语种	英语
出版者	CHINESE PHYSICAL SOC
WOS记录号	WOS:000229684700014
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/25320]
专题	中国科学院近代物理研究所
通讯作者	Cai, CY
作者单位	1.Nanjing Univ, Dept Phys, Nanjing 210008, Peoples R China 2.Ctr Theoret Nucl Phys, Natl Lab Heavy Ion Accelerator, Lanzhou 730000, Peoples R China 3.Jinggangshan Univ, Dept Phys, Jian 343009, Peoples R China
推荐引用方式 GB/T 7714	Cai, CY,Ren, ZZ,Ju, GX. Analytical solutions of the three-dimensional Schrodinger equation with an exponentially changing effective mass[J]. ACTA PHYSICA SINICA,2005,54:2528-2533.
APA	Cai, CY,Ren, ZZ,&Ju, GX.(2005).Analytical solutions of the three-dimensional Schrodinger equation with an exponentially changing effective mass.ACTA PHYSICA SINICA,54,2528-2533.
MLA	Cai, CY,et al."Analytical solutions of the three-dimensional Schrodinger equation with an exponentially changing effective mass".ACTA PHYSICA SINICA 54(2005):2528-2533.