Generating of Conditionally Exactly Soluble Potentials by Method of Supersymmetric Quantum Mechanics
Generating of Conditionally Exactly Soluble Potentials by Method of Supersymmetric Quantum Mechanics
摘要
This paper suggests a systematic method based on supersymmetric quantum mechanics for generating conditionally exactly soluble potentials, and uses the variational supersymmetric WKB method to obtain the approximate values of the energy spectrum of the whole class.
参考文献16
-
1F.Cooper,A.Khare,and U.Skhatme,Phys.Rep.251(1995) 305.
-
2S.W.Qian and Z.Y.Gu,Commun.Theor.Phys.(Beijing,China) 36 (2001) 391.
-
3S.W.Qian,B.W.Huang,and Z.Y.Gu,New J.Phys.4(2002) 13.1-13.6.
-
4S.W.Qian,B.W.Huang,D.Y.Wang,and Z.Y.Gu,Commun.Theor.Phys.(Beijing,China) 38 (2002) 139.
-
5B.W.Huang,Z.Y.Gu,and S.W.Qian,Commun.Theor.Phys.(Beijing,China) 44 (2005) 619.
-
6A.Comet,A.Bandrauk,and D.K.Campbell,Phys.Lett.B 150 (1985) 159.
-
7A.Khare,Phys.Lett.A 161 (1985) 131.
-
8C.H.Miao and S.W.Qian,Phys.Rev.A 56 (1997) 2412.
-
9M.Shifman,Int.J.Mod.Phys.A 4 (1989) 2897.
-
10A.Turbiner and A.Usheridze,Phys.Lett.A 126 (1987)181.
-
1Akpan N. Ikot,Elham Maghsoodi,Eno J. Ibanga,Saber Zarrinkamar,Hassan Hassanabadi.Spin and pseudospin symmetries of the Dirac equation with shifted Hulthe′n potential using supersymmetric quantum mechanics[J].Chinese Physics B,2013,22(12):74-81.
-
2NAN JI-ZHU WANG CHENG-CHENG LI HAI-LING.On Some Varieties of Soluble Lie Algebras[J].Communications in Mathematical Research,2012,28(1):10-16.
-
3JIA Wen-Zhi,WANG Shun-Jin.Supersymmetric Quantum Mechanics and SUSY Dependent SU(2) Symmetry for a Spin-1/2 Charged Particle in a Magnetic Field[J].Communications in Theoretical Physics,2008,50(8):335-340.
-
4郭文斌.Finite Groups With Given Normalizers of Sylow Subgroups[J].Chinese Science Bulletin,1994,39(23):1952-1955. 被引量：1
-
5唐文林,田贵花.Solving ground eigenvalue and eigenfunction of spheroidal wave equation at low frequency by supersymmetric quantum mechanics method[J].Chinese Physics B,2011,20(1):121-127. 被引量：2
-
6Donald W.BARNES.Engel Subalgebras of n-Lie Algebras[J].Acta Mathematica Sinica,English Series,2008,24(1):159-166. 被引量：1
-
7董锟,田贵花,孙越.Low frequency asymptotics for the spin-weighted spheroidal equation in the case of s=1/2[J].Chinese Physics B,2011,20(7):123-132.
-
8Wen Bin GUO,A. N. SKIBA.Criteria of Existence of Hall Subgroups in Non-soluble Finite Groups[J].Acta Mathematica Sinica,English Series,2010,26(2):295-304.
-
9Alberto L. Delgado,Derek J.S. Robinson,Mathew Timm.Generalized Baumslag-Solitar Graphs with Soluble Fundamental Groups[J].Algebra Colloquium,2014,21(1):53-58.
-
10Xu Maoqian Teaching Group in Mathematics Guangdong Mechanical College Guangzhou, 510643 China.Groups Whose Proper Subgroups are Baer Groups[J].Acta Mathematica Sinica,English Series,1996,12(1):10-17. 被引量：1
