Bound states of the Klein－Gordon and Dirac equations for scalar and vector harmonic oscillator potentials

doi:10.1088/1009-1963/11/8/301

Abstract

Abstract We give the exact bound states of the Klein－Gordon and Dirac equations with equal scalar and vector harmonic oscillator potentials.

Keywords: harmonic oscillator Klein－Gordon equation Dirac equation bound state

Received: 23 November 2001
Revised: 14 April 2002
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Pm	(Relativistic wave equations)
	02.30.Hq	(Ordinary differential equations)

Cite this article:

Qiang Wen-Chao (强稳朝) Bound states of the Klein－Gordon and Dirac equations for scalar and vector harmonic oscillator potentials 2002 Chinese Physics 11 757

[1]	Thermoelectric signature of Majorana zero modes in a T-typed double-quantum-dot structure Cong Wang(王聪) and Xiao-Qi Wang(王晓琦). Chin. Phys. B, 2023, 32(3): 037304.
[2]	Wave function collapses and 1/n energy spectrum induced by a Coulomb potential in a one-dimensional flat band system Yi-Cai Zhang(张义财). Chin. Phys. B, 2022, 31(5): 050311.
[3]	Pseudospin symmetric solutions of the Dirac equation with the modified Rosen—Morse potential using Nikiforov—Uvarov method and supersymmetric quantum mechanics approach Wen-Li Chen(陈文利) and I B Okon. Chin. Phys. B, 2022, 31(5): 050302.
[4]	Bound states in the continuum in metal—dielectric photonic crystal with a birefringent defect Hongzhen Tang(唐宏珍), Peng Hu(胡鹏), Da-Jian Cui(崔大健), Hong Xiang(向红), and Dezhuan Han(韩德专). Chin. Phys. B, 2022, 31(10): 104209.
[5]	Brightening single-photon emitters by combining an ultrathin metallic antenna and a silicon quasi-BIC antenna Shangtong Jia(贾尚曈), Zhi Li(李智), and Jianjun Chen(陈建军). Chin. Phys. B, 2022, 31(1): 014209.
[6]	Bound states in the continuum on perfect conducting reflection gratings Jianfeng Huang(黄剑峰), Qianju Song(宋前举), Peng Hu(胡鹏), Hong Xiang(向红), and Dezhuan Han(韩德专). Chin. Phys. B, 2021, 30(8): 084211.
[7]	Phase- and spin-dependent manipulation of leakage of Majorana mode into double quantum dot Fu-Bin Yang(羊富彬), Gan Ren(任淦), and Lin-Guo Xie(谢林果). Chin. Phys. B, 2021, 30(7): 078505.
[8]	Electronic structures of vacancies in Co₃Sn₂S₂ Yuxiang Gao(高于翔), Xin Jin(金鑫), Yixuan Gao(高艺璇), Yu-Yang Zhang(张余洋), and Shixuan Du(杜世萱). Chin. Phys. B, 2021, 30(7): 077102.
[9]	Suppression of leakage effect of Majorana bound states in the T-shaped quantum-dot structure Wei-Jiang Gong(公卫江), Yu-Hang Xue(薛宇航), Xiao-Qi Wang(王晓琦), Lian-Lian Zhang(张莲莲), and Guang-Yu Yi(易光宇). Chin. Phys. B, 2021, 30(7): 077307.
[10]	Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency Lei Jiang(姜磊), Li Lai(赖莉), Tao Yu(蔚涛), Maokang Luo(罗懋康). Chin. Phys. B, 2021, 30(6): 060502.
[11]	Connes distance of 2D harmonic oscillators in quantum phase space Bing-Sheng Lin(林冰生) and Tai-Hua Heng(衡太骅). Chin. Phys. B, 2021, 30(11): 110203.
[12]	Detection of spin current through a quantum dot with Majorana bound states Ning Wang(王宁), Xingtao An(安兴涛), and Shuhui Lv(吕树慧). Chin. Phys. B, 2021, 30(10): 100302.
[13]	Symmetry-broken silicon disk array as an efficient terahertz switch working with ultra-low optical pump power Zhanghua Han(韩张华), Hui Jiang(姜辉), Zhiyong Tan(谭智勇), Juncheng Cao(曹俊诚), Yangjian Cai(蔡阳健). Chin. Phys. B, 2020, 29(8): 084209.
[14]	Probing the Majorana bound states in a hybrid nanowire double-quantum-dot system by scanning tunneling microscopy Jia Liu(刘佳), Ke-Man Li(李科曼), Feng Chi(迟锋), Zhen-Guo Fu(付振国), Yue-Fei Hou(侯跃飞), Zhigang Wang(王志刚), Ping Zhang(张平). Chin. Phys. B, 2020, 29(7): 077302.
[15]	Bound in continuum states and induced transparency in mesoscopic demultiplexer with two outputs Z Labdouti, T Mrabti, A Mouadili, E H El Boudouti, F Fethi, and B Djafari-Rouhani. Chin. Phys. B, 2020, 29(12): 127301.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Bound states of the Klein－Gordon and Dirac equations for scalar and vector harmonic oscillator potentials

Cite this article:

Online attention