Application of the discrete Wentzel-Kramers-Brillouin method to spin tunneling

Anupam Garg

doi:10.1063/1.532563

Application of the discrete Wentzel-Kramers-Brillouin method to spin tunneling

Anupam Garg^*

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

A discrete version of the Wentzel-Kramers-Brillouin (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 wave functions.

Original language	English (US)
Pages (from-to)	5166-5179
Number of pages	14
Journal	Journal of Mathematical Physics
Volume	39
Issue number	10
DOIs	https://doi.org/10.1063/1.532563
State	Published - Oct 1998

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.532563

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title = "Application of the discrete Wentzel-Kramers-Brillouin method to spin tunneling",

abstract = "A discrete version of the Wentzel-Kramers-Brillouin (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 wave functions.",

author = "Anupam Garg",

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AB - A discrete version of the Wentzel-Kramers-Brillouin (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 wave functions.

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Application of the discrete Wentzel-Kramers-Brillouin method to spin tunneling

Abstract

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