WKB corrections to the energy splitting in double-well potentials

1997/10/03 by Marko Robnik, Robnik, Marko, Luca Salasnich +1
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9710001

11 pages, latex, no figures, Preprint CAMTP/97-4, August 1997, submitted to J. Phys. A: Math. Gen

arxiv created 1997/10/03 · arxiv updated 2009/11/30

Abstract

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 and the parabolic double-well potential.

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