Groundstate with Zero Eigenvalue for Generalized Sombrero-Shaped Potential in N-Dimensional Space
Groundstate with Zero Eigenvalue for Generalized Sombrero-Shaped Potential in N-Dimensional Space
摘要
Based on an iterative method for solving the groundstate of Schrodinger equation, it is found that a kind of generalized Sombrero-shaped potentials in N-dimensional space has groundstates with zero eigenvalue. The restrictions on the parameters in the potential are discussed.
参考文献3
-
1G. 't Hooft and S. Nobbenhuis, Class. Quant. Grav. 23 (2006) 3819.
-
2R. Friedberg, T.D. Lee, and W.Q. Zhao, Ann. Phys. 321 (2006) 1981.
-
3R. Jackiw, private communication.
-
1刘庆军,赵维勤.Iterative Solution for Groundstate of H_2^+ Ion[J].Communications in Theoretical Physics,2010(1):57-62.
-
2陈才生.Minimax 原理在完全非线性椭圆型方程中的应用[J].河海大学学报(自然科学版),1997,25(4):19-25.
-
3ZHAOWei-Qin.Revised Iterative Solution for Groundstate of Schro^edinger Equation[J].Communications in Theoretical Physics,2004,42(1X):37-42.
-
4YongSHEN,ZhiSONG.The Spectrum of Four-Point Hubbard Model with Holes[J].河北旅游职业学院学报,1995,8(1):10-13.
-
5肖欣,乌云其木格,韩超,额尔敦朝鲁.Magnetic field and temperature dependence of the ground-state energy of weak-coupling magnetopolaron in quantum rods with hydrogenic impurity[J].Optoelectronics Letters,2012,8(3):237-240.
-
6Ebrahim Ghanbari-Adivi,Sadjad Eskandari.Single ionization of helium atoms by energetic fully stripped carbon ions[J].Chinese Physics B,2015,24(10):154-159.
-
7RENQing-Bao,CHENQing-Hu.A New Variational Study for Two-Site Holstein Model[J].Communications in Theoretical Physics,2005,43(2):357-361.
-
8SUNZhe WANGXiao-Guang HUAn-Zi LIYou-Quan.Entanglement in Spin-1/2 Dimerized Heisenberg Systems[J].Communications in Theoretical Physics,2005,43(6):1033-1036. 被引量:1
-
9田立君,颜益营,秦立国.Quantum Correlation in Three-Qubit Heisenberg Model with Dzyaloshinskii-Moriya Interaction[J].Communications in Theoretical Physics,2012,58(7):39-46.