The classical limit of a class of quantum dynamical semigroups
F. Benatti (1993)
Annales de l'I.H.P. Physique théorique
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F. Benatti (1993)
Annales de l'I.H.P. Physique théorique
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Joachim Seifert (1997)
Banach Center Publications
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Several ways to embed q-deformed versions of the Heisenberg algebra into the classical algebra itself are presented. By combination of those embeddings it becomes possible to transform between q-phase-space and q-oscillator realizations of the q-Heisenberg algebra. Using these embeddings the corresponding Schrödinger equation can be expressed by various difference equations. The solutions for two physically relevant cases are found and expressed as Stieltjes Wigert polynomials. ...
Miroslav Sova (1979)
Časopis pro pěstování matematiky
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Eugène Gutkin (1986)
Annales de l'I.H.P. Analyse non linéaire
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Al Bastami, Anas, Belić, Milivoj R., Petrović, Nikola Z. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Masatoshi Noumi, Tôru Umeda, Masato Wakayama (1996)
Compositio Mathematica
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Soren Fournais (2002)
Annales de l’institut Fourier
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We prove a formula for the current in an electron gas in a semiclassical limit corresponding to strong, constant, magnetic fields. Little regularity is assumed for the scalar potential . In particular, the result can be applied to the mean field from magnetic Thomas-Fermi theory . The proof is based on an estimate on the density of states in the second Landau band.