Quantitative derivation of the Euler-Poisson equation from quantum many-body dynamics
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Publication:6615573
DOI10.1007/S42543-023-00065-5MaRDI QIDQ6615573
Shunlin Shen, Xuwen Chen, Zhifei Zhang
Publication date: 8 October 2024
Published in: Peking Mathematical Journal (Search for Journal in Brave)
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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