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 …

This book covers the theory and applications of the Wigner phase space distribution function
and its symmetry properties. The book explains why the phase space picture of quantum …

This monograph presents recent developments in quantum field theory at finite temperature.
By using Lie groups, ideas from thermal theory are considered with concepts of symmetry …

We solve a form of the Bloch equation for the density matrix in a manner that identifies a
''quantum''correction to the classical potential. This correction is given by the difference …

We add to the postulate, that the distribution function give the proper probabilities for the
position and momentum variables (actually only the former is needed) and that its …

The concept of thermoalgebra, a kind of representation for the Lie-symmetries developed in
connection with thermal quantum field theory, is extended to study unitary representations of …

A representation theory for Lie groups is developed taking the Hilbert space, say H w, of the
w∗-algebra standard representation as the representation space. In this context the states …

Following suggestions of Schönberg and Bohm, we study the tensorial phase space
representation of the Dirac and Feynman-Gell-Mann equations in terms of the complex Dirac …

In this work we study representations of the Poincaré group defined over symplectic
manifolds, deriving the Klein–Gordon and the Dirac equation in phase space. The formalism …

A number of researchers today make an appeal to quantum physics when trying to develop
a satisfactory account of the mind, an appeal still felt to be controversial by many. Often …