Effective dynamics of a tracer particle interacting with an ideal Bose gas

DOI10.1007/s00220-014-1987-zzbMath1391.81074arXiv1210.0253OpenAlexW2036897374MaRDI QIDQ2016044

Peter Pickl, Dirk-André Deckert, Alessandro Pizzo, Jürg Fröhlich

Publication date: 18 June 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0253

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Classical and relativistic thermodynamics (80A10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Cites Work

• A simple derivation of mean field limits for quantum systems
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• Derivation of the time dependent Gross-Pitaevskii equation without positivity condition on the interaction
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• Friction in a model of Hamiltonian dynamics
• Derivation of the nonlinear Schrödinger equation from a many body Coulomb system