Analyticity of the One-Particle Density Matrix

It is proved that the one-particle density matrix γ ( x , y ) for multi-particle Coulombic systems is real analytic away from the nuclei and from the diagonal x = y .

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Bibliographic Details
Published in:Annales Henri Poincaré 2022-02, Vol.23 (2), p.707-738
Main Authors: Hearnshaw, Peter, Sobolev, Alexander V.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Mathematical and Computational Physics
Mathematical Methods in Physics
Original Paper
Particle density (concentration)
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity Theory
Theoretical
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Description
Summary:It is proved that the one-particle density matrix γ ( x , y ) for multi-particle Coulombic systems is real analytic away from the nuclei and from the diagonal x = y .
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-021-01120-6