3 papers
math-ph2025
Geometric Flavours of Quantum Field Theory on a Cauchy Hypersurface: Gaussian Analysis for the Hamiltonian Formalism and Applications to Cosmology
David Martínez-Crespo
This thesis explores Quantum Field Theory (QFT) on curved spacetimes using a geometric Hamiltonian approach to the Schrödinger-like representation. In particular it studies the the…
quant-ph2025
Entropy functionals and equilibrium states in mixed quantum-classical dynamics
Cesare Tronci, David Martínez-Crespo, François Gay-Balmaz
The computational challenges posed by many-particle quantum systems are often overcome by mixed quantum-classical (MQC) models in which certain degrees of freedom are treated as cl…
physics.chem-ph2024
Heisenberg dynamics of mixed quantum-classical systems
David Martínez-Crespo, Cesare Tronci
We consider the dynamics of interacting quantum and classical systems in the Heisenberg representation. Unlike the usual construction in standard quantum mechanics, mixed quantum-c…