Variational methods in relativistic quantum mechanics
This review is devoted to the study of stationary solutions of linear and nonlinear equations
from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as …
from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as …
[图书][B] Functional integration and quantum physics
B Simon - 2005 - books.google.com
Page 1 I FUNCTIONAL NTEGRATION AND QUANTUM PHYSICS SECOND EDITION BARRY
SIMON AMS CHELSEA PUBLISHING American Mathematical Society • Providence, Rhode Island …
SIMON AMS CHELSEA PUBLISHING American Mathematical Society • Providence, Rhode Island …
Introduction to representations of the canonical commutation and anticommutation relations
J Dereziński - Large Coulomb Systems: Lecture Notes on …, 2006 - Springer
Introduction to Representations of the Canonical Commutation and Anticommutation Relations
Page 1 Introduction to Representations of the Canonical Commutation and Anticommutation …
Page 1 Introduction to Representations of the Canonical Commutation and Anticommutation …
Some bound state problems in quantum mechanics
D Hundertmark - Proceedings of Symposia in Pure Mathematics, 2007 - books.google.com
We give a review of semi-classical estimates for bound states and their eigenvalues for
Schrödinger operators. Motivated by the classical results, we discuss their recent …
Schrödinger operators. Motivated by the classical results, we discuss their recent …
A rigorous justification of the Mittleman's approach to the Dirac–Fock model
L Meng - Calculus of Variations and Partial Differential …, 2024 - Springer
In this paper, we study the relationship between the Dirac–Fock model and the electron-
positron Hartree–Fock model. We justify the Dirac–Fock model as a variational …
positron Hartree–Fock model. We justify the Dirac–Fock model as a variational …
On the Hartree-Fock equations of the electron-positron field
JM Barbaroux, W Farkas, B Helffer… - … in mathematical physics, 2005 - Springer
We study the energy of relativistic electrons and positrons interacting via the second
quantized Coulomb potential in the field of a nucleus of charge Z within the Hartree-Fock …
quantized Coulomb potential in the field of a nucleus of charge Z within the Hartree-Fock …
Renormalization of the regularized relativistic electron-positron field
EH Lieb, H Siedentop - Communications in Mathematical Physics, 2000 - Springer
We consider the relativistic electron-positron field interacting with itself via the Coulomb
potential defined with the physically motivated, positive, density-density quartic interaction …
potential defined with the physically motivated, positive, density-density quartic interaction …
Some connections between Dirac-Fock and electron-positron Hartree-Fock
We study the ground state solutions of the Dirac-Fock model in the case of weak electronic
repulsion, using bifurcation theory. They are solutions of a minmax problem. Then we …
repulsion, using bifurcation theory. They are solutions of a minmax problem. Then we …
A max-min principle for the ground state of the dirac-fock
MJ Esteban, E Séré - … in Quantum Mechanics: A Conference on …, 2002 - books.google.com
A max-min principle for the ground state of the dirac-fock Page 146 http://dx. doi. org/10.1090/conm/307/05275
Contemporary Mathematics Volume 307, 2002 A max-min principle for the ground state of …
Contemporary Mathematics Volume 307, 2002 A max-min principle for the ground state of …
Stability of the relativistic electron-positron field of atoms in Hartree-Fock approximation: Heavy elements
R Brummelhuis, N Röhrl, H Siedentop - Documenta Mathematica, 2001 - ems.press
We show that the modulus of the Coulomb Dirac operator with a sufficiently small coupling
constant bounds the modulus of the free Dirac operator from above up to a multiplicative …
constant bounds the modulus of the free Dirac operator from above up to a multiplicative …