Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

doi:10.1088/1674-1056/22/7/070303

中国物理B ›› 2013, Vol. 22 ›› Issue (7): 70303-070303.doi: 10.1088/1674-1056/22/7/070303

Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

Sami Ortakaya

Institute of Natural and Applied Sciences, Department of Physics, Erciyes University, 38039 Kayseri, Turkiye

收稿日期:2012-09-07 修回日期:2012-12-03 出版日期:2013-06-01 发布日期:2013-06-01

Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

Sami Ortakaya

Institute of Natural and Applied Sciences, Department of Physics, Erciyes University, 38039 Kayseri, Turkiye

Received:2012-09-07 Revised:2012-12-03 Online:2013-06-01 Published:2013-06-01
Contact: Sami Ortakaya E-mail:sami.ortakaya@yahoo.com

摘要/Abstract

摘要： The exact solutions of the N-dimensional Klein-Gordon equation in the presence of an exactly solvable potential of V(r) = D_e(r/r_e-r_e/r)² type have been obtained. The N dimensional Klein-Gordon equation has been reduced to a first-order differential equation via Laplace transformation. The exact bound state energy eigenvalues and corresponding wave functions for CH, H₂, and HCl molecules interacting with pseudoharmonic oscillator potential in the arbitrary N dimensions have been determined. Bound state eigenfunctions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric functions.

关键词: Klein-Gordon equation, Laplace integral transform, bound states

Abstract: The exact solutions of the N-dimensional Klein-Gordon equation in the presence of an exactly solvable potential of V(r) = D_e(r/r_e-r_e/r)² type have been obtained. The N dimensional Klein-Gordon equation has been reduced to a first-order differential equation via Laplace transformation. The exact bound state energy eigenvalues and corresponding wave functions for CH, H₂, and HCl molecules interacting with pseudoharmonic oscillator potential in the arbitrary N dimensions have been determined. Bound state eigenfunctions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric functions.

Key words: Klein-Gordon equation, Laplace integral transform, bound states

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

03.65.Ge

03.65.Pm (Relativistic wave equations) 03.65.Fd (Algebraic methods)

Sami Ortakaya. Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions[J]. 中国物理B, 2013, 22(7): 70303-070303.

Sami Ortakaya. Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions[J]. Chin. Phys. B, 2013, 22(7): 70303-070303.

参考文献 24

[1]	Hutson J M, Jain S. 1989 J. Chem. Phys. 91 4197
[2]	Blume D, Greene C H and Esry B D 2000 J. Chem. Phys. 113 2145
[3]	Espinola Lopez L E and Soares Neto J J 2002 Int. J. Theor. Phys. 39 1129
[4]	Coelho J A and Amaral R L P G 2002 J. Phys. A: Math. Gen. 35 5255
[5]	Lévai G, Kónya B and Papp Z 1998 J. Math. Phys. 39 5811
[6]	Zeng G, Zhou S, Ao S and Jiang F 1997 J. Phys. A: Math. Gen. 30 1775
[7]	Durmus A 2011 J. Phys. A: Math. Theor. 44 155205
[8]	Ikhdair S and Sever R 2009 J. Math. Chem. 45 1137
[9]	Ikhdair S and Sever R 2008 Cent. Eur. J. Phys. 6 685
[10]	Ikhdair S and Sever R 2008 J. Mol. Struct.: Theochem 855 13
[11]	Oyewumi K J 2005 Found. Phys. Lett. 18 75
[12]	Saad N 2007 Phys. Scr. 76 623
[13]	Saad N, Hall R L and Ciftci H 2008 Cent. Eur. J. Phys. 6 717
[14]	Goldman I and Krivchenkov V 1960 Problems in Quantum Mechanics (London: Pergamon Press)
[15]	Dong S H and Ma Z Q 2002 Int. J. Mod. Phys. E 11 155
[16]	Sage M 1984 Chem. Phys. 87 431
[17]	Sage M and Goodisman J 1985 Am. J. Phys. 53 530
[18]	Buyukkilic F, Demirhan D and Ozeren S 1992 Chem. Phys. Lett. 9 194
[19]	Popov D 2001 J. Phys. A: Math. Gen. 34 5283
[20]	Ikhdair S and Sever R 2007 J. Mol. Struct.: Theochem 806 155
[21]	Wang L Y, Gu X Y, Ma Z Q and Dong S H 2002 Found. Phys. Lett. 15 569
[22]	Oyewumi K J, Akinpelu F O and Agboola A D 2008 Int. J. Theor. Phys. 47 1039
[23]	Schiff J L 1999 The Laplace Transform: Theory and Applications (New York: Springer)
[24]	Chen G 2004 Phys. Lett. A 328 123

Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 24

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Yi-Cai Zhang(张义财). Wave function collapses and 1/n energy spectrum induced by a Coulomb potential in a one-dimensional flat band system[J]. 中国物理B, 2022, 31(5): 50311-050311.
[2]	Jianfeng Huang(黄剑峰), Qianju Song(宋前举), Peng Hu(胡鹏), Hong Xiang(向红), and Dezhuan Han(韩德专). Bound states in the continuum on perfect conducting reflection gratings[J]. 中国物理B, 2021, 30(8): 84211-084211.
[3]	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). Electronic structures of vacancies in Co₃Sn₂S₂[J]. 中国物理B, 2021, 30(7): 77102-077102.
[4]	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). Suppression of leakage effect of Majorana bound states in the T-shaped quantum-dot structure[J]. 中国物理B, 2021, 30(7): 77307-077307.
[5]	Fu-Bin Yang(羊富彬), Gan Ren(任淦), and Lin-Guo Xie(谢林果). Phase- and spin-dependent manipulation of leakage of Majorana mode into double quantum dot[J]. 中国物理B, 2021, 30(7): 78505-078505.
[6]	Ning Wang(王宁), Xingtao An(安兴涛), and Shuhui Lv(吕树慧). Detection of spin current through a quantum dot with Majorana bound states[J]. 中国物理B, 2021, 30(10): 100302-100302.
[7]	刘佳, 李科曼, 迟锋, 付振国, 侯跃飞, 王志刚, 张平. Probing the Majorana bound states in a hybrid nanowire double-quantum-dot system by scanning tunneling microscopy[J]. 中国物理B, 2020, 29(7): 77302-077302.
[8]	Ahmet Taş, Ali Havare. Bound states resulting from interaction of the non-relativistic particles with the multiparameter potential[J]. 中国物理B, 2017, 26(10): 100301-100301.
[9]	Mohsen Yarmohammadi, Malek Zareyan. Bound states of Dirac fermions in monolayer gapped graphene in the presence of local perturbations[J]. 中国物理B, 2016, 25(6): 68105-068105.
[10]	王素新, 李玉现, 刘建军. Resonant Andreev reflection in a normal-metal/quantum-dot/superconductor system with coupled Majorana bound states[J]. 中国物理B, 2016, 25(3): 37304-037304.
[11]	张义财, 汪汉廷, 沈顺清, 刘伍明. Particle-hole bound states of dipolar molecules in an optical lattice[J]. 中国物理B, 2013, 22(9): 90501-090501.
[12]	Guo-Hua Sun, M. Avila Aoki, Shi-Hai Dong. Quantum information entropies of the eigenstates for the Pöschl-Teller-like potential[J]. 中国物理B, 2013, 22(5): 50302-050302.
[13]	M. Hamzavi, S. M. Ikhdair, K. E. Thylwe. Spinless particles in the field of unequal scalar–vector Yukawa potentials[J]. 中国物理B, 2013, 22(4): 40301-040301.
[14]	吴丽君, 韩宇. Pure spin polarized transport based on Rashba spin–orbit interaction through the Aharonov–Bohm interferometer embodied four-quantum-dot ring[J]. 中国物理B, 2013, 22(4): 47302-047302.
[15]	Khaled A. Gepreel, Mohamed S. Mohamed. Analytical approximate solution for nonlinear space-time fractional Klein–Gordon equation[J]. Chin. Phys. B, 2013, 22(1): 10201-010201.