Quantum correction in exact quantization rules
Ma ZQ(马中骐); Ma, ZQ; Xu, BW
刊名EUROPHYSICS LETTERS
2005
卷号69期号:5页码:685-691
学科分类Physics
DOI10.1209/epl/i2004-10418-8
通讯作者Inst High Energy Phys, Beijing 100049, Peoples R China ; Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
文章类型Article
英文摘要An exact quantization rule for the Schrodinger equation is presented. In the exact quantization rule, in addition to N pi, there is an integral term, called the quantum correction. For the exactly solvable systems we find that the quantum correction is an invariant, independent of the number of nodes in the wave function. In those systems, the energy levels of all the bound states can be easily calculated from the exact quantization rule and the solution for the ground state, which can be obtained by solving the Riccati equation. With this new method, we re-calculate the energy levels for the one-dimensional systems with a finite square well, with the Morse potential, with the symmetric and asymmetric Rosen-Morse potentials, and with the first and the second Poschl-Teller potentials, for the harmonic oscillators both in one dimension and in three dimensions, and for the hydrogen atom.
类目[WOS]Physics, Multidisciplinary
研究领域[WOS]Physics
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语种英语
WOS记录号WOS:000227665100003
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被引频次:86[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/311005/238265
专题中国科学院高能物理研究所_理论物理室_期刊论文
作者单位中国科学院高能物理研究所
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Ma ZQ,Ma, ZQ,Xu, BW. Quantum correction in exact quantization rules[J]. EUROPHYSICS LETTERS,2005,69(5):685-691.
APA 马中骐,Ma, ZQ,&Xu, BW.(2005).Quantum correction in exact quantization rules.EUROPHYSICS LETTERS,69(5),685-691.
MLA 马中骐,et al."Quantum correction in exact quantization rules".EUROPHYSICS LETTERS 69.5(2005):685-691.
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