Iterative solutions for low lying excited states of a class of Schrödinger equation
R. Friedberga), T. D. Lee(李政道)a)b), and Zhao Wei-Qin(赵维勤)b)c)
a Physics Department, Columbia University, New York, NY 10027, USA ; b China Center of Advanced Science and Technology (CCAST/World Laboratory), Beijing 100080, China; c Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100039, China
Abstract The convergent iterative procedure for solving the groundstate Schr?dinger equation is extended to derive the excitation energy and the wavefunction of the low-lying excited states. The method is applied to the one-dimensional quartic potential problem. The results show that the iterative solution converges rapidly when the coupling g is not too small.
Received: 12 July 2006
Revised: 14 July 2006
Accepted manuscript online:
Fund: This research was supported in part by
the U.S. Department of Energy (Grant No DE-FG02-92ER-40699) and the
National\linebreak \makebox[1.6mm]{}Natural Science Foundation of China (Grant No
10547001).
Cite this article:
R. Friedberg, T. D. Lee(李政道), and Zhao Wei-Qin(赵维勤) Iterative solutions for low lying excited states of a class of Schrödinger equation 2006 Chinese Physics 15 1909
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