Exact Solution of Klein-Gordon Equation for Charged Particle in Magnetic Field with Shape Invariant Method
Exact Solution of Klein-Gordon Equation for Charged Particle in Magnetic Field with Shape Invariant Method
摘要
Based on the shape invariance property we obtain exact solutions of the three-dimensional relativistic Klein Gordon equation for a charged particle moving in the presence of a certain varying magnetic field, and we also show its non-relativistic limit.
参考文献13
-
1W. Greiner, Relativistic Quantum Mechanics, 3rd ed., Springer, Berlin (2000).
-
2T. Jana and P. Roy, Phys. Lett. A 361 (2007) 55.
-
3G. Chen, Z. Chen, and P. Xuan, Phys. Lett. A 352 (2006) 317.
-
4G. Chen, Phys. Lett. A 339 (2005) 300.
-
5A.S. de Castro, Phys. Lett. A 338 (2005) 81.
-
6M.R. Setare and Gh. Olfati, Phys. Scr. 75 (2007) 250.
-
7M. Kaxmadeva, e-print math-ph/0306069 (2003).
-
8E. Witten, Nucl. Phys. B 188 {1981) 513.
-
9F. Cooper and B. Freeman, Ann. Phys. 146 (1983) 262.
-
10L. Gendenshtein, JETP Lett. 38 (1983) 356.
-
1冯兆生,费树岷.ON ANALYTIC SOLUTION OF SCHRDINGER EQUATION AND KLEIN-GORDON EQUATION[J].Annals of Differential Equations,1997,13(2):119-124.
-
2MELNIKOV Yu. A..Construction of Green's Functions for the Two-Dimensional Static Klein-Gordon Equation[J].Journal of Partial Differential Equations,2011,24(2):114-139. 被引量:1
-
3Y Chargui,L Chetouani,A Trabelsi.Exact solution of the one-dimensional Klein-Gordon equation with scalar and vector linear potentials in the presence of a minimal length[J].Chinese Physics B,2010,19(2):43-47. 被引量:1
-
4黄博文,王薇,王德云.HARTMANN势的能谱和波函数[J].原子与分子物理学报,1999,16(3):443-448. 被引量:8
-
5王德云,王薇.三维谐振子的超对称性和形不变性[J].首都师范大学学报(自然科学版),1999,20(4):24-28. 被引量:2
-
6崔红宇,田维,杨新娥.超对称量子力学中超势的应用[J].山西师范大学学报(自然科学版),2006,20(2):41-43. 被引量:3
-
7许学军,梅凤翔,秦茂昌.Non-Noether conserved quantity constructed by using form invariance for Birkhoffian system[J].Chinese Physics B,2004,13(12):1999-2002. 被引量:7
-
8傅美欢.幂函数叠加势的形状不变性[J].大学物理,2015,34(9):7-9. 被引量:2
-
9崔红宇,杨新娥,胡北来.超对称量子力学与三维Eckart势的解[J].南开大学学报(自然科学版),2006,39(4):63-65.
-
10邓一兵,倪致祥.一类具有形状不变性的新可解势[J].内蒙古大学学报(自然科学版),1994,25(6):652-656.