The development of quantum theory on a torus has a long history, and can be traced back to
the 1920s, with the attempts by Nordström, Kaluza and Klein to define a fourth spatial …

The propagation velocity of scintillation light in liquid argon vg at λ∼ 128 nm wavelength,
has been measured for the first time in a dedicated experimental setup at CERN. The …

In this paper, we study within the structure of Symplectic Quantum Mechanics a
bidimensional nonrelativistic strong interaction system which represent the bound state of …

Symplectic quantum mechanics (SMQ) makes possible to derive the Wigner function without
the use of the Liouville–von Neumann equation. In this formulation of the quantum theory the …

We study relativistic quantum field theories in phase space, based on representations of the
Poincaré group, using the Moyal product. We develop a perturbative theory for quantizing …

The tilde conjugation rule in thermofield dynamics, equivalent to the modular conjugation in
ac∗-algebra, is used to develop unitary representations of the Poincaré group, where the …

A quark–antiquark effective model is studied in a toroidal topology at finite temperature. The
model is described by a Schrödinger equation with linear potential which is embedded in a …

The Schrödinger equation in phase space is used to calculate the Wigner function for
oscillator systems. The first is two oscillators including dissipative effects. In this case, the …

Unitary representations of the Galilei group are studied in phase space, in order to describe
classical and quantum systems. Conditions to write in general form the generator of time …

We study symplectic unitary representations for the Galilei group and derive the Schrödinger
equation in phase space. Our formalism is based on the noncommutative structure of the …