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arXiv:quant-ph/99050166May1999 A simple formula for ground state energy of a two-electron atom
 

Summary: arXiv:quant-ph/99050166May1999
A simple formula for ground state energy of a two-electron atom
M. Auzinsh, R. Damburg
Dept. of Physics, University of Latvia
19. Rainis blvd., Riga LV-1586, Latvia
()
A simple expression for a ground state energy for a two-electron atom is derived. For this
assumption based upon the Niels Bohr "old" quantum mechanics idea about electron correlation
in a two-electron atom is exploited. Results are compared with experimental data and theoretical
results based on a variation approach.
I. INTRODUCTION
The helium problem played an important role in the early history of quantum mechanics [1]. Already at the very
beginning of "old" quantum theory Niels Bohr made his first attempt to calculate energy levels of the He atom. He
discussed a model when both electrons of a two-electron atom move along the same circular orbit and are located at
the opposite ends of a diameter [2]. Even some time before Bohr's attempt Hantaro Nagaoka in Japan demonstrated
from the view point of classical mechanics that such motion possesses the lowest possible energy and what is very
important it is a mechanically stable arrangement [3]. It means that weak disturbances cannot destroy this motion.
Afterwards Bohr's approach to the problem was considered to be unsuccessful mainly due to the reason that this
model fails to the explain diamagnetism of a two-electron atom in its lowest energy state and also the value of the
obtained energy was in a rather poor agreement with experiment. Later it was assumed that only quantum mechanics

  

Source: Auzinsh, Marcis - Department of Physics, University of Latvia

 

Collections: Physics