Derivation of the Dipolar Gross--Pitaevskii Energy
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Publication:4602441
DOI10.1137/17M112378XzbMath1387.35514arXiv1703.03746OpenAlexW2600974405MaRDI QIDQ4602441
Publication date: 11 January 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.03746
Integro-partial differential equations (45K05) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70)
Related Items (7)
Improved stability for 2D attractive Bose gases ⋮ The condensation of a trapped dilute Bose gas with three-body interactions ⋮ Non linear Schrödinger limit of bosonic ground states, again ⋮ On the Stability of 2D Dipolar Bose--Einstein Condensates ⋮ Existence and concentration of solutions to the Gross-Pitaevskii equation with steep potential well ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions
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