Application of the discrete Wentzel-Kramers-Brillouin method to spin tunneling
Anupam Garg
TL;DR
This paper develops a discrete WKB method to calculate spin tunneling splittings, providing an elementary approach that aligns with instanton results and additionally yields wavefunctions.
Contribution
A new discrete WKB method for spin tunneling that is simpler and provides wavefunctions, matching previous instanton-based results.
Findings
Results agree with instanton calculations
Method is more elementary and accessible
Yields wavefunctions for spin states
Abstract
A discrete version of the WKB method is developed and applied to calculate the tunnel splittings between classically degenerate states of spin Hamiltonians. The results for particular model problems are in complete accord with those previously found using instanton methods. The discrete WKB method is more elementary and also yields wavefunctions.
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