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Article Dans Une Revue Physica E: Low-dimensional Systems and Nanostructures Année : 2013

Quantum circular billiards : further analytical results

Résumé

Analytical results for circular billiards are obtained for different quantities. In particular a two-term recursion relation for mean values of powers of radial coordinate is given and a three-term recursion relation for mean values of powers of total momentum is given. Analytical expressions for these mean values are also determined, and briefly compared with the results of classical mechanics.

Dates et versions

hal-00843786 , version 1 (12-07-2013)

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E. de Prunelé. Quantum circular billiards : further analytical results. Physica E: Low-dimensional Systems and Nanostructures, 2013, 53, pp.59. ⟨10.1016/j.physe.2013.04.017⟩. ⟨hal-00843786⟩
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