The supersymmetric WKB approximation of ring-shaped oscillator potential in r and θ dimensions with spherical polar coordinates

doi:10.1088/1009-1963/13/4/005

中国物理B ›› 2004, Vol. 13 ›› Issue (4): 445-447.doi: 10.1088/1009-1963/13/4/005

The supersymmetric WKB approximation of ring-shaped oscillator potential in r and θ dimensions with spherical polar coordinates

陈刚, 陈子栋

Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China

收稿日期:2003-06-30 修回日期:2003-08-27 出版日期:2004-04-22 发布日期:2004-04-20

The supersymmetric WKB approximation of ring-shaped oscillator potential in r and $\theta$ dimensions with spherical polar coordinates

Chen Gang (陈刚), Chen Zi-Dong (陈子栋)

Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China

Received:2003-06-30 Revised:2003-08-27 Online:2004-04-22 Published:2004-04-20

摘要/Abstract

摘要： According to calculation of the energy spectrum of ring-shape oscillator potential by using the supersymmetric WKB approximation, it is shown that the energy spectrum of some noncentral separable potentials can be exactly obtained in r and $\theta$ dimensions by above method.

关键词: ring-shaped oscillator potential, energy spectrum, supersymmetric WKB approximation

Abstract: According to calculation of the energy spectrum of ring-shape oscillator potential by using the supersymmetric WKB approximation, it is shown that the energy spectrum of some noncentral separable potentials can be exactly obtained in r and $\theta$ dimensions by above method.

Key words: ring-shaped oscillator potential, energy spectrum, supersymmetric WKB approximation

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

陈刚, 陈子栋. The supersymmetric WKB approximation of ring-shaped oscillator potential in r and θ dimensions with spherical polar coordinates[J]. 中国物理B, 2004, 13(4): 445-447.

Chen Gang (陈刚), Chen Zi-Dong (陈子栋). The supersymmetric WKB approximation of ring-shaped oscillator potential in r and $\theta$ dimensions with spherical polar coordinates[J]. Chinese Physics, 2004, 13(4): 445-447.

[1]	Faustin Blaise Migueu, Mercel Vubangsi, Martin Tchoffo, and Lukong Cornelius Fai. Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential[J]. 中国物理B, 2021, 30(6): 60309-060309.
[2]	张延惠, 徐秀兰, 康丽莎, 蔡祥吉, 唐旭. Analysis of the fractal intrinsic quality in the ionization of Rydberg helium and lithium atoms[J]. 中国物理B, 2018, 27(5): 53401-053401.
[3]	崔万照, 张恒, 李韵, 何鋆, 王琪, 张洪太, 王洪广, 杨晶. An improved secondary electrons energy spectrum model and its application in multipactor discharge[J]. 中国物理B, 2018, 27(3): 38401-038401.
[4]	葛愉成, 何海萍. Spectral energetic properties of the X-ray-boosted photoionization by an intense few-cycle laser[J]. 中国物理B, 2014, 23(7): 74207-074207.
[5]	葛愉成, 葛湘洁, 何海萍. Statistical properties of the photoelectron energy spectrum generated by an intense laser pulse and a continuous X-ray[J]. 中国物理B, 2014, 23(11): 114203-114203.
[6]	张彩霞, 牛余全, 孟庆田. Time-dependent approach to the double-channel dissociation of the NaCs molecule induced by pulsed lasers[J]. 中国物理B, 2014, 23(10): 103301-103301.
[7]	葛愉成, 何海萍. X-ray-boosted photoionization for the measurement of an intense laser pulse[J]. 中国物理B, 2013, 22(6): 63201-063201.
[8]	叶会亮, 吴艳, 张敬涛, 邵初寅. Calculation of the photoelectron spectra under the scaling transform[J]. Chin. Phys. B, 2013, 22(1): 13207-013207.
[9]	吴艳,叶会亮,张敬涛,郭东升. Multiple-plateau structure and scaling relation in photoelectron spectra of high-order above-threshold ionization[J]. 中国物理B, 2012, 21(5): 53201-053201.
[10]	刘红杰, 谷渝秋, 周维民, 高宇林, 单连强, 朱斌, 吴玉迟, 焦春晔, 李芳, 曹磊峰, 张保汉, 郑志坚. Growth of deuterium clusters in a gas jet and ion energy spectrum of clusters in ultra-short laser field[J]. 中国物理B, 2011, 20(6): 65203-065203.
[11]	许海波, 彭现科, 陈朝斌. Monte Carlo simulation for bremsstrahlung and photoneutron yields in high-energy x-ray radiography[J]. 中国物理B, 2010, 19(6): 62901-062901.
[12]	王帅, 蒋继建, 徐世民, 李洪奇. New representation of the multimode phase shifting operator and its application[J]. 中国物理B, 2010, 19(1): 14208-014208.
[13]	葛愉成. Quantum-mechanical analysis of pulse reconstruction for a narrow bandwidth attosecond x-ray pulse[J]. 中国物理B, 2009, 18(4): 1473-1478.
[14]	袁洪春, 范洪义. Exact solution for the thermo Jaynes--Cummings model[J]. 中国物理B, 2009, 18(12): 5149-5154.
[15]	王永俊, 刘先锋, 韩玖荣. Energy spectrum and superfluidity of spin-2 ultracold bosons in optical lattices[J]. 中国物理B, 2009, 18(12): 5301-5307.

The supersymmetric WKB approximation of ring-shaped oscillator potential in r and θ dimensions with spherical polar coordinates

The supersymmetric WKB approximation of ring-shaped oscillator potential in r and $\theta$ dimensions with spherical polar coordinates

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0