Constrained quantum mechanics: chaos in non-planar billiards
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Publication:2844712
DOI10.1088/0143-0807/33/4/965zbMath1271.81080arXiv1202.5044OpenAlexW2051627966WikidataQ99713236 ScholiaQ99713236MaRDI QIDQ2844712
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Publication date: 19 August 2013
Published in: European Journal of Physics (Search for Journal in Brave)
Abstract: We illustrate some of the techniques to identify chaos signatures at the quantum level using as a guiding examples some systems where a particle is constrained to move on a radial symmetric, but non planar, surface. In particular, two systems are studied: the case of a cone with an arbitrary contour or dunce hat billiard and the rectangular billiard with an inner Gaussian surface.
Full work available at URL: https://arxiv.org/abs/1202.5044
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