6 papers
Abstract Theory of Bogoliubov Linearizations with Application to Nonlinear Thermodynamic Formalism
Jean-Bernard Bru, Walter de Siqueira Pedra, Artur Oscar Lopes
Bogoliubov's 1947 approximation, originally developed in the microscopic theory of superfluidity, laid the foundation for solving previously intractable quantum models and later be…
Quadratic Hamiltonians in Fermionic Fock Spaces
Jean-Bernard Bru, Nathan Metraud
Quadratic Hamiltonians are important in quantum field theory and quantum statistical mechanics. Their general studies, which go back to the sixties, are relatively incomplete for t…
Nonlinear Thermodynamic Formalism: Mean-field Phase Transitions, Large Deviations and Bogoliubov's Variational Principle
Jean-Bernard Bru, Walter de Siqueira Pedra, Artur O. Lopes
Let , be the shift acting on , the set of -invariant probabilities. Given a Hölder potential and a continuous fu…
Scattering and Pairing by Exchange Interactions
J. -B. Bru, W. de Siqueira Pedra, A. Ramer dos Santos
Quantum interactions exchanging different types of particles play a pivotal rôle in quantum many-body theory, but they are not sufficiently investigated from a mathematical perspe…
Charge Transport at Atomic Scales in 1D-Semiconductors: A Quantum Statistical Model Allowing Rigorous Numerical Studies
Roisin Dempsey Braddell, Jone Uria-Albizuri, Jean-Bernard Bru +1
There has been a recent surge of interest in understanding charge transport at atomic scales. The motivations are myriad, including understanding the conductance properties of pept…
Non-Linear Operator-valued Elliptic Flows with Application to Quantum Field Theory
Jean-Bernard Bru, Nathan Metraud
Differential equations on spaces of operators are very little developed in Mathematics, being in general very challenging. Here, we study a novel system of such (non-linear) differ…