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2019 | OriginalPaper | Buchkapitel

On Effective PDEs of Quantum Physics

verfasst von : Ilias Chenn, I. M. Sigal

Erschienen in: New Tools for Nonlinear PDEs and Application

Verlag: Springer International Publishing

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Abstract

The Hartree-Fock equation is a key effective equation of quantum physics. We review the standard derivation of this equation and its properties and present some recent results on its natural extensions – the density functional, Bogolubov-de Gennes and Hartree-Fock-Bogolubov equations. This paper is based on a talk given at ISAAC2017.

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Nächstes Kapitel Critical Exponents for Differential Inequalities with Riemann-Liouville and Caputo Fractional Derivatives
Fußnoten
1
For application of the quasifree states in the classical kinetic theory see [46].
 
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Metadaten
Titel
On Effective PDEs of Quantum Physics
verfasst von
Ilias Chenn
I. M. Sigal
Copyright-Jahr
2019
Buch
New Tools for Nonlinear PDEs and Application

Print ISBN: 978-3-030-10936-3

Electronic ISBN: 978-3-030-10937-0

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-030-10937-0_1