14 papers
Brownian Bridge for Coherent State Path Integral Monte Carlo
Riccardo Fantoni
We propose a new Brownian bridge construction for our newly devised Coherent States Path Integral Monte Carlo algorithm. We apply it to the numerically exact calculation of the the…
Coherent State Path Integral Monte Carlo
Riccardo Fantoni
We propose a new quantum simulation method for a many body quantum liquid of identical particles at finite (non-zero) temperature. The new scheme expands the high temperature densi…
Many Body in General Relativity: A thermal equivalence principle
Riccardo Fantoni
We review the physics of many bodies in the context of general relativity. Starting from the stress energy tensor for one body, for a swarm of bodies, for a perfect fluid, we revie…
Path Integral Monte Carlo on a Sphere
Riccardo Fantoni
We solve numerically exactly a simple toy model to quantum general relativity or more properly to path integral on a curved space. We consider the thermal equilibrium of a quantum…
Quantum Hard Spheres with Affine Quantization
Riccardo Fantoni
We study a fluid of quantum hard-spheres treated with affine-quantization. Assuming that the fluid obeys to Bose-Einstein statistics we solve for its thermodynamic properties using…
Edwards Localization
Riccardo Fantoni
We study the localization problem in quantum stochastic mechanics. We start from the Edwards model for a particle in a bath of scattering centers and prove static localization of t…