Non-hypergeometric Type of Polynomials and Solutions of Schrodinger Equation with Position-Dependent Mass 被引量：1

Non-hypergeometric Type of Polynomials and Solutions of Schrodinger Equation with Position-Dependent Mass

下载PDF

导出

摘要 Using the coordinate transformation method, we study the polynomial solutions of the Schr6dinger equation with position-dependent mass （PDM）. The explicit expressions for the potentials, energy eigenvalues, and eigenfunctions of the systems are given. The issues related to normalization of the wavefunetions and Hermiticity of the Hamiltonian are also analyzed.

作者鞠国兴

机构地区 College of Physics

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第8期235-240,共6页 理论物理通讯（英文版）

关键词 SchrSdinger equation position-dependent mass EIGENFUNCTION EIGENVALUE coordinate transfor-mation method polynomials solution 薛定谔方程位置相关多项式质量类型几何坐标变换方法能量本征值

分类号 O411 [理学—理论物理]

引文网络
相关文献

参考文献41

1O. von Roos, Phys. Rev. B 27 (1983) 7547.
2D.J. BenDaniel and C.B. Duke, Phys. Rev. 152 (1966) 683.
3M.R. Geller and W. Kohn, Phys. Rev. Lett. 70 (1993) 3103.
4J.M. Levy-Leblond, Phys. Rev. A 52 (1995) 1845.
5L. Dekar, L. Chetouani, and T.F. Hammann, J. Math. Phys. 39 (1998) 2551.
6L. Dekar, L. Chetouani, and T.F. Hammann, J. Math. Phys. Rev. A 59 (1999) 107.
7A.R. Plastino, A. Rigo, M. Casas, F. Garcias, and A. Plastino, Phys. Rev. A 60 (1999) 4318.
8V. Milanovic and Z. Ikovic, J. Phys. A: Math. Gen. 32 (1999) 7001.
9A. de Souza Durra and C.A.S. Almeida, Phys. Lett. A 275 (2000) 25.
10B. GSniil, B. Gonul, D. Tutcu, and O. Ozer, Mod. Phys. Lett. A 17 (2002) 2057.

同被引文献4

1S. Cruz y Cruz,J. Negro,L.M. Nieto.Classical and quantum position-dependent mass harmonic oscillators[J].Physics Letters A.2007(5)
2Shi-Hai Dong,M. Lozada-Cassou.Exact solutions of the Schr?dinger equation with the position-dependent mass for a hard-core potential[J].Physics Letters A.2005(4)
3Jiang Yu,Shi-Hai Dong,Guo-Hua Sun.Series solutions of the Schr?dinger equation with position-dependent mass for the Morse potential[J].Physics Letters A.2004(5)
4Jiang Yu,Shi-Hai Dong.Exactly solvable potentials for the Schr?dinger equation with spatially dependent mass[J].Physics Letters A.2004(3)

引证文献1

1Naila Amir,Shahid Iqbal.Exact Solutions of Schrdinger Equation for the Position-Dependent Effective Mass Harmonic Oscillator[J].Communications in Theoretical Physics,2014,61(12):790-794.

1M.S.Cunha,H.R.Christiansen.Analytic Results in the Position-Dependent Mass Schrdinger Problem[J].Communications in Theoretical Physics,2013,60(12):642-650.
2李国彬.ANALYTIC SOLUTIONS OF SIMPLE WAVES[J].Applied Mathematics and Mechanics(English Edition),1993,14(11):1057-1062.
3CAIChang-Ying,RENZhong-Zhou,JUGuo-Xing.Exact Solutions to Three-Dimensional Schrodinger Equation with anExponentially Position-Dependent Mass[J].Communications in Theoretical Physics,2005,43(6):1019-1022.
4Yuriy Turbal Mariana Turbal Andriy Bomba Sokh Anastasiia.T-transformation Method for Studing the Multi-solitone Solutions of the Korteveg-de Vries Type Equations[J].Journal of Mathematics and System Science,2015,5(7):279-285.
5JU Guo-Xing,CAI Chang-Ying,REN Zhong-Zhou.Generalized Harmonic Oscillator and the Schrdinger Equation with Position-Dependent Mass[J].Communications in Theoretical Physics,2009,51(5):797-802.
6Altug Arda,Ramazan Sever.Bound State Solutions of Schrodinger Equation for Generalized Morse Potential with Position-Dependent Mass[J].Communications in Theoretical Physics,2011,56(7):51-54. 被引量：1
7Altug Ardat,Ramazan Seve,Cevdet Tezcan.Analytical Solutions to the Klein-Gordon Equation with Position-Dependent Mass for q-Parameter P？schl-Teller Potential[J].Chinese Physics Letters,2010,27(1):29-32.
8Ram Mehar Singh,Fakir Chand,S.C.Mishra.Solution of Schrdinger Equation for Two-Dimensional Complex Quartic Potentials[J].Communications in Theoretical Physics,2009,51(3):397-406.
9AxelSchulze-Halberg.Form-Preserving Transformations of Time-Dependent Schrodinger Equation withTime- and Position-Dependent Mass[J].Communications in Theoretical Physics,2005,43(4):657-665.
10JU Guo-Xing XIANG Yang REN Zhong-Zhou.Localization of s-Wave and Quantum Effective Potential of a Quasi-free Particle with Position-Dependent Mass[J].Communications in Theoretical Physics,2006,46(5X):819-825.

Communications in Theoretical Physics

2011年第8期

浏览历史

内容加载中请稍等...

Non-hypergeometric Type of Polynomials and Solutions of Schrodinger Equation with Position-Dependent Mass 被引量：1

参考文献41

同被引文献4

引证文献1

相关作者

相关机构

相关主题

浏览历史