Semiclassical methods for multi-dimensional systems bounded by finite potentials

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dc.creatorHuang, Wen-Min
dc.creatorChang, Cheng-Hung
dc.creatorMou, Chung-Yu
dc.date2004-12-13
dc.date2004-12-15
dc.date.accessioned2026-07-25T15:45:31Z
dc.descriptionThis work studies the semiclassical methods in multi-dimensional quantum systems bounded by finite potentials. By replacing the Maslov index by the scattering phase, the modified transfer operator method gives rather accurate corrections to the quantum energies of the circular and square potential pots of finite heights. The result justifies the proposed scattering phase correction which paves the way for correcting other semiclassical methods based on Green functions, like Gutzwiller trace formula, dynamical zeta functions, and Landauer-Büttiker formula.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0412326
dc.identifierhttp://arxiv.org/abs/cond-mat/0412326
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/36674
dc.subjectMesoscale and Nanoscale Physics
dc.titleSemiclassical methods for multi-dimensional systems bounded by finite potentials
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