7 papers
Constrained Symplectic Quantization: Disclosing the Deterministic Framework Behind Quantum Field Theory
Francesco Scardino, Martina Giachello, Giacomo Gradenigo
Symplectic quantization is a functional approach to quantum field theory that allows sampling of quantum fluctuations directly in Minkowski space time by means of a Hamiltonian dyn…
Constrained Symplectic Quantization II: The Free Scalar Field
Francesco Scardino, Martina Giachello, Giacomo Gradenigo
Constrained symplectic quantization is a functional formulation of quantum field theory in which quantum fluctuations are sampled through a deterministic Hamiltonian flow in an aux…
Constrained Symplectic Quantization I: the Quantum Harmonic Oscillator
Martina Giachello, Francesco Scardino, Giacomo Gradenigo
Symplectic quantization is a functional approach to quantum field theory that allows sampling of quantum fluctuations directly in Minkowski space-time by means of a generalized mic…
Constrained Symplectic Quantization: Disclosing the Deterministic Framework Behind Quantum Mechanics
Martina Giachello, Francesco Scardino, Giacomo Gradenigo
Symplectic quantization is a functional approach to quantum field theory that allows sampling of quantum fluctuations directly in Minkowski space time by means of a generalized Ham…
Localization and "classical entanglement'' in the Discrete Non-Linear Schrödinger Equation
Martina Giachello, Stefano Iubini, Roberto Livi +1
We perform a detailed numerical study of the very peculiar thermodynamic properties of the localized high-energy phase of the Discrete Non-Linear Schrödinger Equation (DNLSE). A n…
Symplectic Quantization: numerical results for the Feynman propagator on a 1+1 lattice and the theoretical relation with Quantum Field Theory
Martina Giachello, Francesco Scardino, Giacomo Gradenigo
We present here the first lattice simulation of symplectic quantization, a new functional approach to quantum field theory which allows to define an algorithm to numerically sample…