Solvable two-body Dirac equation as a potential model of light mesons.
Duviryak, Askold (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Large- expansion method for two-body Dirac equation.”
Solvable two-body Dirac equation as a potential model of light mesons.
Effective Evolution Equations in Quantum Physics
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...
Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics.
Quesne, Christiane, Tkachuk, Volodymyr M. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Two-dimensional supersymmetric quantum mechanics: two fixed centers of force.
González León, M.A., Mateos Guilarte, J., de la Torre Mayado, M. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations.
Quesne, Christiane (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Self-localized quasi-particle excitation in quantum electrodynamics and its physical interpretation.
Feranchuk, Ilya D., Feranchuk, Sergey I. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Flatland position-dependent-mass: polar coordinates, separability and exact solvability.
Mazharimousavi, S.Habib, Mustafa, Omar (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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An algorithm for quantum propagation through electron level crossings.
Clotilde Fermanian Kammerer, Caroline Lasser (2005)
Journées Équations aux dérivées partielles
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The mean-field limit for the dynamics of large particle systems
François Golse (2003)
Journées équations aux dérivées partielles
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This short course explains how the usual mean-field evolution PDEs in Statistical Physics - such as the Vlasov-Poisson, Schrödinger-Poisson or time-dependent Hartree-Fock equations - are rigorously derived from first principles, i.e. from the fundamental microscopic models that govern the evolution of large, interacting particle systems.
Self-consistent-field method and -functional method on group manifold in soliton theory: a review and new results.
Nishiyama, Seiya, Da Providência, João, Providência, Constança, Cordeiro, Flávio, Komatsu, Takao (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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