Generalized hypervirial theorem for the D dimensional single-particle system and its applications
Ma ZQ(马中骐); Ma, ZQ; Dong, SH
刊名INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
2007
卷号16期号:1页码:#REF!
关键词generalized hypervirial theorem D dimensional single-particle system hamiltonian identity recurrence relation
学科分类Physics
DOI10.1142/S0218301307005636
通讯作者Ma, ZQ (reprint author), Inst High Energy Phys, Beijing 100049, Peoples R China.
文章类型Article
英文摘要By using the Hamiltonian identity, we present a generalized hypervirial theorem for the D dimensional single-particle system with arbitrary potential. It is shown that this generalized hypervirial theorem is powerful in deriving the Blanchard's and Kramers' recurrence relations among the matrix elements. We apply those recurrence relations to some physical systems, exactly solvable and unsolvable, such as the pseudoharmonic oscillator, the Morse, the modified Poschl-Teller, the Lennard-Jones, the Buckingham and the Yukawa potentials. The Blanchard's and Kramers' recurrence relations in two dimensions are also briefly mentioned.
类目[WOS]Physics, Nuclear ; Physics, Particles & Fields
收录类别SCI
WOS记录号WOS:000250862200010
引用统计
被引频次:3[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/226720
专题中国科学院高能物理研究所_理论物理室_期刊论文
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Ma ZQ,Ma, ZQ,Dong, SH. Generalized hypervirial theorem for the D dimensional single-particle system and its applications[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS,2007,16(1):#REF!.
APA 马中骐,Ma, ZQ,&Dong, SH.(2007).Generalized hypervirial theorem for the D dimensional single-particle system and its applications.INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS,16(1),#REF!.
MLA 马中骐,et al."Generalized hypervirial theorem for the D dimensional single-particle system and its applications".INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS 16.1(2007):#REF!.
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