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Global Well-Posedness of the NLS System for Infinitely Many Fermions
- Authors
- Chen, Thomas; Hong, Younghun; Pavlović, Natasa
- Issue Date
- Apr-2017
- Publisher
- Springer New York LLC
- Citation
- Archive for Rational Mechanics and Analysis, v.224, no.1, pp 91 - 123
- Pages
- 33
- Journal Title
- Archive for Rational Mechanics and Analysis
- Volume
- 224
- Number
- 1
- Start Page
- 91
- End Page
- 123
- ISSN
- 0003-9527
1432-0673
- Abstract
- In this paper, we study the mean field quantum fluctuation dynamics for a system of infinitely many fermions with delta pair interactions in the vicinity of an equilibrium solution (the Fermi sea) at zero temperature, in dimensions d = 2, 3, and prove global well-posedness of the corresponding Cauchy problem. Our work extends some of the recent important results obtained by Lewin and Sabin in [33,34], who addressed this problem for more regular pair interactions. © 2016, Springer-Verlag Berlin Heidelberg.
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