THE RELATIVISTIC MEAN-FIELD EQUATIONS OF THE ATOMIC NUCLEUS

DOI10.1142/S0129055X12500080zbMath1246.81475arXiv1101.1399OpenAlexW1968098526MaRDI QIDQ2894042

Simona Rota Nodari

Publication date: 27 June 2012

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1399

zbMATH Keywords

Dirac operatorvariational methodsnonlinear analysisnuclear physicsrelativistic mean-fieldconcentration-compactness lemma

Mathematics Subject Classification ID

Variational inequalities (49J40) Nuclear physics (81V35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (1)

SYMMETRIC GROUND STATES FOR A STATIONARY RELATIVISTIC MEAN-FIELD MODEL FOR NUCLEONS IN THE NON-RELATIVISTIC LIMIT

Cites Work

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• Variational methods in relativistic quantum mechanics
• Hartree-Fock theory in nuclear physics
• On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms
• Strict Positivity of a Relativistic Hamiltonian Due to Brown and Ravenhall
• Nonrelativistic limit of the Dirac-Fock equations

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