The Hartree equation for infinitely many particles. I: Well-posedness theory (Q2257997)
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| Language | Label | Description | Also known as |
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| English | The Hartree equation for infinitely many particles. I: Well-posedness theory |
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The Hartree equation for infinitely many particles. I: Well-posedness theory (English)
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2 March 2015
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The authors study local and global well-posedness for the Hartree equation describing quantum systems with an infinite number of particles, such as Fermi gas, Bose and Boltzmann gases at positive temperatures, etc. The initial data are a perturbation of translation-invariant states. Besides the relative (free) energy and relative entropies the authors use Lieb-Thirring and Strichartz inequalities generalized in recent papers by R. L. Frank, M. Lewin, E. H. Lieb and R. Seiringer.
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Hartree equation
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quantum systems with infinite number of particles
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relative entropy
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Lieb-Thirring inequality
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Strichartz inequality
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