Stochastic quantization for a system ofNidentical interacting Bose particles

DOI10.1088/1751-8113/40/30/007zbMath1189.81014OpenAlexW2061357113MaRDI QIDQ5757548

Maria I. Loffredo, Laura M. Morato

Publication date: 7 September 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/40/30/007

zbMATH Keywords

Gross-Pitaevskii equationinteracting bosonsstochastic variational principlesBose condensateeffective one-particle dynamics

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) PDEs in connection with quantum mechanics (35Q40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (8)

Entropy chaos and Bose-Einstein condensation ⋮ A Doob h-transform of the Gross-Pitaevskii Hamiltonian ⋮ Strong Kac’s chaos in the mean-field Bose–Einstein Condensation ⋮ Stochastic description of a Bose-Einstein condensate ⋮ Stochastic quantization of finite dimensional systems with electromagnetic interactions ⋮ Extension of Nelson's stochastic quantization to finite temperature using thermo field dynamics ⋮ Generalization of uncertainty relation for quantum and stochastic systems ⋮ Classicalization of quantum variables and quantum-classical hybrids

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