中国物理B ›› 2006, Vol. 15 ›› Issue (9): 1909-1913.doi: 10.1088/1009-1963/15/9/001

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Iterative solutions for low lying excited states of a class of Schr?dinger equation

赵维勤1, R.Friedberg2, 李政道3   

  1. (1)China Center of Advanced Science and Technology (CCAST/World Laboratory), Beijing 100080, China Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100039, China; (2)Physics Department, Columbia University, New York, NY 10027, USA; (3)Physics Department, Columbia University, New York, NY 10027, USA;China Center of Advanced Science and Technology (CCAST/World Laboratory), Beijing 100080, China
  • 收稿日期:2006-07-12 修回日期:2006-07-14 出版日期:2006-09-20 发布日期:2006-09-20
  • 基金资助:
    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).

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)   

  1. 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
  • Received:2006-07-12 Revised:2006-07-14 Online:2006-09-20 Published:2006-09-20
  • Supported by:
    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).

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摘要： 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.

关键词: iterative solution, low-lying excited state, convergence

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.

Key words: iterative solution, low-lying excited state, convergence

中图分类号:  (Impacts of global change; global warming)

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