WKB corrections to the energy splitting in double well potentials

Details WKB corrections to the energy splitting in double well potentials WKB corrections to the energy splitting in double well potentials

2000-03-29

arxiv.org/abs/nlin/0003062v1

Nonlinear Phenomena in Complex Systems (Minsk) 2 (1999) 49

Nonlinear Sciences

Chaotic Dynamics

14 pages, 5 figures, 1 table

Scientific paper

By using the WKB quantization we deduce an analytical formula for the energy
splitting in a double--well potential which is the usual Landau formula with
additional quantum corrections. Then we analyze the accuracy of our formula for
the double square well potential, the inverted harmonic oscillator and the
quartic potential.

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