Evolution of the Boson gas at zero temperature: Mean-field limit and second-order correction
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Publication:2833056
DOI10.1090/qam/1455zbMath1349.35313OpenAlexW2514951783MaRDI QIDQ2833056
Dionisios Margetis, Matei Machedon, Manoussos G. Grillakis
Publication date: 16 November 2016
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/qam/1455
quantum dynamicsmean-field limitBogoliubov transformationnon-linear Schrödinger equationweakly interacting bosonspair excitation
PDEs in connection with quantum mechanics (35Q40) Atomic physics (81V45) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) (n)-body problems (70F10)
Related Items (4)
Many-body excitations in trapped Bose gas: A non-Hermitian approach ⋮ Beyond mean-field: Condensate coupled with pair excitations ⋮ Convergence rate towards the fractional Hartree equation with singular potentials in higher Sobolev trace norms ⋮ Dynamical Hartree-Fock-Bogoliubov approximation of interacting bosons
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