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math-ph2026
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…
math-ph2025
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…
math-ph2024
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…