INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS Dissipative Quantum Mechanics: The Generalization of the Canonical Quantization and von Neumann Equation

Perturbative Approach to Calculating the Correlation Function of bi-isotropic Metamaterials

A bi-isotropic magneto-electric metamaterials is modeled by two independent reservoirs. The reservoirs contain a continuum of three dimensional harmonic oscillators, which describe polarizability and magnetizability of the medium. The paper aimed to investigate the effect of electromagnetic field on bi-isotropic. Starting with a total Lagrangian and using Euler-Lagrange equation, researcher cou...

Reiter’s Properties for the Actions of Locally Compact Quantum Goups on von Neumann Algebras

Towards an Analytical Mechanics of Dissipative Materials

A Lagrangian-Hamiltonian variational formulation is proposed for the thermoelasticity of heat conductors and its generalization to anelasticity described by means of internal-state variablesby using a gauge-theoretical technique (introduction of an additional variable of state the gradient of thermacy that renders the system apparently Hamiltonian). Projecting the equations resulting from the E...

Energy quantisation and time parameterisation

We show that if space is compact, then trajectories cannot be defined in the framework of the quantum Hamilton–Jacobi (HJ) equation. The starting point is the simple observation that when the energy is quantised it is not possible to make variations with respect to the energy, and the time parameterisation t − t0 = ∂ES0, implied by Jacobi’s theorem, which leads to the group velocity, is ill def...

Dissipative quantum dynamics in low-energy collisions of complex nuclei

Model calculations that include the effects of irreversible, environmental couplings on top of a coupled-channels dynamical description of the collision of two complex nuclei are presented. The Liouville-von Neumann equation for the time evolution of the density matrix of a dissipative system is solved numerically providing a consistent transition from coherent to decoherent (and dissipative) d...