Generalized hypervirial theorem for the D dimensional single-particle system and its applications
文献类型：期刊论文
| 作者 | Ma ZQ(马中骐); Ma, ZQ; Dong, SH |
| 刊名 | INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
 |
| 出版日期 | 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 |
| 通讯作者 | Ma, ZQ (reprint author), Inst High Energy Phys, Beijing 100049, Peoples R China. |
| 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. |
| 学科主题 | Physics |
| 类目[WOS] | Physics, Nuclear ; Physics, Particles & Fields |
| 收录类别 | SCI |
| WOS记录号 | WOS:000250862200010 |
| 公开日期 | 2016-05-03 |
| 源URL | [http://ir.ihep.ac.cn/handle/311005/226720]  |
| 专题 | 高能物理研究所_理论物理室 |
| 推荐引用方式 GB/T 7714 | 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!. |
入库方式： OAI收割
来源：高能物理研究所
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