中国物理B ›› 2002, Vol. 11 ›› Issue (5): 467-471.doi: 10.1088/1009-1963/11/5/311

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An effective potential method for the calculation of hydrogen molecule ion energy in a strong magnetic field

焦志勇1, 李毓成2   

  1. (1)Department of Applied Physics, University of Petroleum, Dongying 257061, China; (2)Department of Physics, Liaoning University, Shenyang 110036, China
  • 收稿日期:2001-11-21 修回日期:2002-01-09 出版日期:2002-05-13 发布日期:2005-06-13

An effective potential method for the calculation of hydrogen molecule ion energy in a strong magnetic field

Jiao Zhi-Yong (焦志勇)a, Li Yu-Cheng (李毓成)b   

  1. a Department of Applied Physics, University of Petroleum, Dongying 257061, China; b Department of Physics, Liaoning University, Shenyang 110036, China
  • Received:2001-11-21 Revised:2002-01-09 Online:2002-05-13 Published:2005-06-13

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摘要： Using the adiabatic approximation and adiabatic variational approximation with an effective potential, the total energies and the equilibrium internuclear separations of H2+ ion in states σg, πu, δg, φu, γg, ηu in strong magnetic fields have been calculated. Our results reproduced those obtained by Vincke and Baye (Vincke M and Baye D 1985 J. Phys. B: At. Mol. Phys. 18 167), which are considered the most reliable. We found a basic function with better convergence than the Landau functions.

Abstract: Using the adiabatic approximation and adiabatic variational approximation with an effective potential, the total energies and the equilibrium internuclear separations of H2+ ion in states $\sigma_g$, $\pi_u$, $\delta_g$, $\phi_u$, $\gamma_g$, $\eta_u$ in strong magnetic fields have been calculated. Our results reproduced those obtained by Vincke and Baye (Vincke M and Baye D 1985 J. Phys. B: At. Mol. Phys. 18 167), which are considered the most reliable. We found a basic function with better convergence than the Landau functions.

Key words: strong magnetic field, effective potential method, hydrogen molecule ion, adiabatic variational approximation

中图分类号:  (Variational techniques)

  • 31.15.xt
33.15.Fm (Bond strengths, dissociation energies)