17 citations · 34 across the 17 of their papers we have counts for
19 papers
Diagonal Pair Coulomb Density Matrix on a Sphere: a numerical study
Riccardo Fantoni
We tabulate, on the diagonal, the th power of the primitive approximation for the pair Coulomb density matrix on a sphere, with up to , and we discuss its behavior at parti…
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…
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…
Polaron versus Anderson Localization
Riccardo Fantoni
We compare two kinds of affine localizations in physics: the localization in a short range polaron and the one in a Wick rotated Anderson stochastic model. The conditions on the in…
Temperature of the Vacuum
Riccardo Fantoni
In a recent trilogy we proposed a Statistical Theory of General Relativity spacetime. Here we apply our new theory to determine the (energy) ``density'' and (virial) ``temperature'…
Thank The Quantum Realm For Nothing Ever Entering Into Black Holes
John R. Klauder, Riccardo Fantoni
While the quantum realm seems hidden, it can also reach examples of infinite energy, especially when a part of space is roughly removed until it disappears, possibly forever. Since…
Sum Rules in Quantum Liquids
Riccardo Fantoni
We review the linear response theory in the horizontal quantum liquids framework spanning from Coulomb liquids to Atomic gases. There are several well known references about this s…
ICCheck: A Portable, Language-Agnostic Tool for Synchronizing Code Clones
Motoki Abe, Shinpei Hayashi
Inconsistent modifications to code clones can lead to software defects. Many approaches exist to support consistent modifications based on clone detection and/or change pattern ext…
Relaxation in scalar gravitational field theory
Riccardo Fantoni
We revisit the problem of relaxation in scalar gravitational field theory proposing a novel numerical solution to the problem.
Statistical Gravity through Affine Quantization
Riccardo Fantoni
I propose a possible way to introduce the effect of temperature (defined through the virial theorem) into Einstein's theory of general relativity. This requires the computation of…
The structure of a fluid in the canonical and in the grand canonical ensembles
Riccardo Fantoni
The ensemble inequivalence in a (unscreened) Coulomb liquid has been known since the years 1960s. The structure described by the canonical ensemble and the grand canonical ensemble…
A Classical Luttinger liquid
Riccardo Fantoni
We propose a binary nonadditive Asakura-Oosawa-like mixture as an example for the classical limit of a Luttinger liquid. We determine the equation of state and structure of this mi…
Continuum limit of the Green function in scaled affine quantum Euclidean covariant relativistic field theory
Riccardo Fantoni
We prove through path integral Monte Carlo computer experiments that the affine quantization of the scaled Euclidean covariant relativistic scalar field theory is a valid q…
Static screening in a degenerate electron plasma
Riccardo Fantoni
We present a self contained derivation of the Friedel oscillations in a degenerate ideal electron plasma using a not commonly known theorem on the asymptotic behavior of the Fourie…
Monte Carlo evaluation of the continuum limit of the two-point function of two Euclidean Higgs real scalar fields subject to affine quantization
Riccardo Fantoni, John R. Klauder
We study canonical and affine versions of the quantized covariant Euclidean Higgs scalar field-theory for two real fields on four dimensional lattices through the Monte Carlo metho…
Scaled Affine Quantization of is Nontrivial
Riccardo Fantoni
We prove through Monte Carlo analysis that the covariant euclidean scalar field theory, , where denotes the power of the interaction term and where is th…