Trajectories in the space of the unitarily inequivalent representations of the canonical
commutation relations are shown to be classical trajectories. Under convenient conditions …

The algebraic structure of thermo field dynamics lies in the q-deformation of the algebra of
creation and annihilation operators. Doubling of the degrees of freedom, tilde-conjugation …

Quantization of a damped harmonic oscillator leads to so called Bateman's dual system. The
corresponding Bateman's Hamiltonian, being a self-adjoint operator, displays the discrete …

In pseudo-Euclidean metrics the Chern–Simons gauge theory in the infrared region is found
to be associated with dissipative dynamics. In the infrared limit the Lagrangian of (2+ 1) …

Assuming that the degrees of freedom of a black hole are finite in number and of fermionic
nature, we naturally obtain, within a second-quantized toy model of the evaporation, that the …

Recent results on the relation between self-similarity and squeezed coherent states are
presented. I consider fractals which are generated iteratively according to a prescribed …

A family of completely integrable nonlinear deformations of systems of N harmonic
oscillators are constructed from the non-standard quantum deformation of the sl (2,) algebra …

In this report I review some aspects of the algebraic structure of QFT related with the
doubling of the degrees of freedom of the system under study. I show how such a doubling is …

We consider the one-dimensional motion of a particle immersed in a potential field U (x)
under the influence of a frictional (dissipative) force linear in velocity (− γẋ) and a time …

We discuss the q-deformation of Weyl-Heisenberg algebra in connection with the von
Neumann theorem in quantum mechanics. We show that the q-deformation parameter …