Variational principle of Bogoliubov and generalized mean fields in many-particle interacting systems
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Publication:2794684
DOI10.1142/S0217979215300108zbMath1341.82054arXiv1507.00563OpenAlexW1577017006MaRDI QIDQ2794684
Publication date: 11 March 2016
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.00563
variational methodsstatistical mechanicsmathematical physicsBogoliubov inequalityBogoliubov variational principlegeneralized mean fieldsHamiltonians of many-particle interacting systemsmany-particle interacting systems
Interacting particle systems in time-dependent statistical mechanics (82C22) The dynamics of infinite particle systems (70F45)
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Cites Work
- The Peierls-Bogoliubov inequality in \(C^\ast\)-algebras and characterization of tracial functionals
- On the Bardeen-Cooper-Schrieffer integral equation in the theory of superconductivity
- Trace inequalities in nonextensive statistical mechanics
- Upper bound on the free energy of the spin 1/2 Heisenberg ferromagnet
- Inequalities for some operator and matrix functions
- Matrix inequalities in statistical mechanics.
- Dynamical correlations
- Generalized Hartree-Fock theory and the Hubbard model
- Addendum to ``The solution to the BCS gap equation and the second-order phase transition in superconductivity
- Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra
- The solution to the BCS gap equation and the second-order phase transition in superconductivity
- On the mathematical structure of the B.C.S.-model
- Inequalities for traces on von Neumann algebras
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- The uniqueness and approximation of a positive solution of the Bardeen–Cooper–Schrieffer gap equation
- On the Validity of Certain Variational Principles for the Free Energy
- On perturbation theory in statistical mechanics
- Spectrum and states of the BCS Hamiltonian with sources
- HARTREE–FOCK–BOGOLUBOV APPROXIMATION IN THE MODELS WITH GENERAL FOUR-FERMION INTERACTION
- Variational Methods based on the Density Matrix
- On a new method in the theory of superconductivity
- Ground-State Energy and Green's Function for Reduced Hamiltonian for Superconductivity
- Minimum Property in the Hulthén-Type Variational Methods
- Bose Einstein Condensation of Correlated Pairs
- Asymptotic Expansion of the Bardeen-Cooper-Schrieffer Partition Function by Means of the Functional Method
- Bogoliubov Hamiltonians and one-parameter groups of Bogoliubov transformations
- Convexity inequalities for estimating free energy and relative entropy
- THEORY OF TRANSPORT PROCESSES AND THE METHOD OF THE NONEQUILIBRIUM STATISTICAL OPERATOR
- BOGOLIUBOV'S VISION: QUASIAVERAGES AND BROKEN SYMMETRY TO QUANTUM PROTECTORATE AND EMERGENCE
- Variational Method for the Quantum Statistics of Interacting Particles
- Accuracy of the Hartree–Fock approximation for the Hubbard model
- Variational principles and thermodynamical perturbations
- Inequalities for quantum entropy: A review with conditions for equality
- ELECTRONIC TRANSPORT IN METALLIC SYSTEMS AND GENERALIZED KINETIC EQUATIONS
- Reduction of the N-Particle Variational Problem
- From joint convexity of quantum relative entropy to a concavity theorem of Lieb
- THERMODYNAMIC LIMIT IN STATISTICAL PHYSICS
- A numerical perspective on Hartree−Fock−Bogoliubov theory
- Generalization of Lieb's variational principle to Bogoliubov–Hartree–Fock theory
- FERROMAGNETISM OF THE HUBBARD MODEL AT STRONG COUPLING IN THE HARTREE–FOCK APPROXIMATION
- Variational Principle for Eigenvalue Equations
- On the Bounds of the Average Value of a Function
- BCS Model Hamiltonian of the Theory of Superconductivity as a Quadratic Form
- The mathematical structure of the bardeen-cooper-schrieffer model
- On a Minimum Property of the Free Energy
- Approximate Variational Principle in Quantum Statistics
- The Collective Description of Many-Particle Systems (A Generalized Theory of Hartree Fields)
- Theory of Superconductivity
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