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Acta Physica Polonica B
Article . 2013 . Peer-reviewed
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Tunneling in Cosine Potential with Periodic Boundary Conditions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2013Embargo end date: 01 Jan 2013 Poland English Publisher:Jagiellonian UniversityJournal:Acta Physica Polonica B, volume 44, page 1,261 (issn: 0587-4254, eissn: 1509-5770, Copyright policy )
Authors: Ambroziński, Zbigniew;

doi: 10.5506/aphyspolb.44.1261 , 10.48550/arxiv.1303.0708

arXiv: 1303.0708

handle: 11858/00-001M-0000-0015-159F-4 , 11858/00-001M-0000-0015-15A2-B , 11858/00-001M-0000-0015-15A1-D

Tunneling in Cosine Potential with Periodic Boundary Conditions

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.

9 pages, 3 figures

Country
Poland
Related Organizations
Keywords

Quantum Physics, 81Q20, FOS: Physical sciences, Mathematical Physics (math-ph), Quantum Physics (quant-ph), Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold