Tunneling in cosine potential with periodic boundary conditions

Ambrozinski, Zbigniew

doi:10.5506/APhysPolB.44.1261

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Tunneling in cosine potential with periodic boundary conditions

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Ambrozinski, Zbigniew
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1303.0708.pdf
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Citation

Ambrozinski, Z. (2013). Tunneling in cosine potential with periodic boundary conditions. Acta Physica Polonica B, 44(6), 1261-1272. doi:10.5506/APhysPolB.44.1261.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0015-159F-4

Abstract

In this paper we discuss three methods to calculate energy splitting in cosine potential on a circle, Bloch waves, semi--classical approximation and restricted basis approach. While the Bloch wave method gives only a qualitative result, with the WKB method we are able to determine its unknown coefficients. The numerical approach is most exact and enables us to extract further corrections to previous results.