Solutions of the D-dimensional Schrdinger equation with Killingbeck potential:Lie algebraic approach

Solutions of the D-dimensional Schrdinger equation with Killingbeck potential:Lie algebraic approach

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摘要 Algebraic solutions of the D-dimensional Schrodinger equation with Killingbeck potential are investigated using the Lie algebraic approach within the framework of quasi-exact solvability. The spectrum and wavefunctions of the system are reported and the allowed values of the potential parameters are obtained through the sl（2） algebraization. Algebraic solutions of the D-dimensional Schrodinger equation with Killingbeck potential are investigated using the Lie algebraic approach within the framework of quasi-exact solvability. The spectrum and wavefunctions of the system are reported and the allowed values of the potential parameters are obtained through the sl（2） algebraization.

作者 H.Panahi S.Zarrinkamar M.Baradaran

机构地区 Department of Physics Department of Basic Sciences

出处《Chinese Physics B》 SCIE EI CAS CSCD 2015年第6期138-143,共6页 中国物理B（英文版）

关键词 quasi-exactly solvable Schrodinger equation Killingbeck potential sl（2） Lie algebra representa-tion theory quasi-exactly solvable, Schrodinger equation, Killingbeck potential, sl（2） Lie algebra, representa-tion theory

分类号 O152.5 [理学—基础数学]

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1Turbiner A V 1988 Commun. Math. Phys. 118 467.
2Turbiner A V 1994 Contemp. Math. 160 263.
3Gomez-Ullate D, Kamran N and Milson R 2007 Phys. Atom. Nucl. 70 520.
4Gómez-Ullate D, Kamran N and Milson R 2005 J. Phys. A: Math. Gen. 38 2005.
5Ushveridze A G 1990 Mod. Phys. Lett. A 5 1891.
6Ushveridze A G 1994 Quasi-exactly Solvable Models in Quantum Mechanics (Bristol: IOP).
7Zhang Y Z 2013 J. Math. Phys. 54 102104.
8Lee Y H, Links J and Zhang Y Z 2011 J. Phys. A: Math. Theor. 44 482001.
9Sasaki R 2007 J. Math. Phys. 48 122104.
10Sasaki R, Yang W L and Zhang Y Z 2009 SIGMA 5 104.

1DINGYi－Bing,LIXue－Qian,等.Study on Application of Hypervirial Therem in the Variational Method[J].Communications in Theoretical Physics,2002,37(3):283-286.
2冯海冉,孟祥佳,李鹏,郑雨军.Dynamical correlation between quantum entanglement and intramolecular energy in molecular vibrations:An algebraic approach[J].Chinese Physics B,2014,23(7):387-393.
3李齐良,陈均朗,余淑毅,钱胜.Exact periodic solution in coupled nonlinear Schodinger equations[J].Chinese Physics B,2007,16(6):1545-1548. 被引量：1
4Xiao Ping XU.New Algebraic Approaches to Classical Boundary Layer Problems[J].Acta Mathematica Sinica,English Series,2011,27(6):1023-1070.
5王晓艳,王鹏程,邱建峰,王进喜,侯立霞,谢晋东,丁世良.Lie Algebraic Approach to Energy Transfer for Collinear Collision of Two Anharmonic Diatomic Molecules[J].Communications in Theoretical Physics,2010(2):339-343.
6王宝勤,陈春丽.纤维丛Poisson结构及其在力学上的应用[J].新疆工学院学报,1996,17(1):6-9. 被引量：3
7BAI Cheng-Jie,ZHAO Hong.A New Rational Algebraic Approach to Find Exact Analytical Solutions to a （2＋1）-Dimensional System[J].Communications in Theoretical Physics,2007,48(5X):801-810. 被引量：7
8光与物质的相互作用[J].中国光学,1997(2):2-2.
9Yuri P. Pavlov.Rational Portfolio Investment Based on Consumer＇s Preferences： Blak-Scholes Model and Stochastic Control[J].通讯和计算机（中英文版）,2015,12(5):262-271.
10WANG Lin-xiang,Roderick V. N. Melnik.DIFFERENTIAL-ALGEBRAIC APPROACH TO COUPLED PROBLEMS OF DYNAMIC THERMOELASTICITY[J].Applied Mathematics and Mechanics(English Edition),2006,27(9):1185-1196. 被引量：1

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Solutions of the D-dimensional Schrdinger equation with Killingbeck potential:Lie algebraic approach

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