Journal of East China Normal University(Natural Sc ›› 2009, Vol. 2009 ›› Issue (1): 137-140.

• Article • Previous Articles    

Effect on vibrational levels of H+2 by its approximateanalytic wave function for the ground state(Chinese)

QIN Ai-li 1,2;WANG Ya-ling1;GUO Ying-chun1;CHEN Yang-qin1

  1. 1.State Key Laboratory of Precision Spectroscopy, Department of Physics,East China Normal University, Shanghai 200062, China; 2. Department of Physics,He Bei University of Engineering, Handan Hebei 056038, China
  • Received:2008-06-06 Revised:2008-08-14 Online:2009-01-25 Published:2009-01-25
  • Contact: QIN Ai-li

Abstract: This paper studied the effect of approximate analytic wave function of the ground state of φH+2=1/2(1+S)1/2φH(z,ra)+φH(z,rb)) on its vibrational levels. Potential energy as a function of internuclear distance and z was calculated, and vibrational energy levels of the ground state were also worked out. By comparing them with experimental vibrational energy levels, it was found that this wave function with z=1.23 works very well for ground vibrational level of H+2 But for higher vibrational levels, z=1.13 is better.

Key words: potential curve, vibrational level, wave function for ground state of hydrogen ion, potential curve, vibrational level

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