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キーワード:
Quantum Physics, quant-ph,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,
要旨:
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.
