Non-commutative mechanics in mathematical and in condensed matter physics.
Horváthy, Peter A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Horváthy, Peter A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Duviryak, Askold (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Horváthy, Peter A., Martina, Luigi, Stichel, Peter C. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Benjamin Schlein (2011)
Journées Équations aux dérivées partielles
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In these notes, we review some recent mathematical results concerning the derivation of effective evolution equations from many body quantum mechanics. In particular, we discuss the emergence of the Hartree equation in the so-called mean field regime (for example, for systems of gravitating bosons), and we show that the Gross-Pitaevskii equation approximates the dynamics of initially trapped Bose-Einstein condensates. We explain how effective evolution equations can be derived, on the...
Andrzej Staruszkiewicz (1997)
Banach Center Publications
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It is shown that the total electric charge, as determined from the Gauss law, is a quantum object. The argument is based on elementary considerations concerning the number of photons, which should be large in a classical situation.
Burgess, Cliff P. (2004)
Living Reviews in Relativity [electronic only]
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Mazharimousavi, S.Habib, Mustafa, Omar (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hasebe, Kazuki (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Yaremko, Yurij (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Deriglazov, Alexei A. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Doyon, Benjamin (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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