A simple derivation of the Galitskii–Yakimets distribution function over momentum is presented. For dense plasmas it contains the law ∼p−8 as a quantum correction to the classical Maxwellian distribution function at large momenta. The integral equation for the width of the spectral...

The Lorentz gas reacting with the carrier gas is studied. The Chapman–Enskog method of solution of the Boltmann equation is reformulated in order to account correctly for the chemical process. The expression for the diffusion coefficient of a gas (not necessarily very light) diluted in and...

In a recent paper by Gaspard et al. [Physica A 323 (2003) 294] it was shown in detail that the Lorentz diffusive gas is compatible with irreversible thermodynamics at the local-equilibrium level of description. In this short note we point out that this compatibility with irreversible...

We study the fluctuation theorem formulated in terms of the currents present in a Hamiltonian system with coupled mass and energy transport. To drive the system out of equilibrium, we assume it to be connected to two ideal thermodynamical baths. The fluctuation symmetry is, thus, expressed in...

The BCH formula of Rezek and Kosloff (2006) [10] is a convenient tool to handle a family of density matrices, which occurs in the study of quantum heat engines. We prove the formula using a known argument from Lie theory.

A methodological discussion is proposed, aiming at illustrating an analogy between game theory in particular (and mathematical economics in general) and quantum mechanics. This analogy relies on the equivalence of the two fundamental operators employed in the two fields, namely, the expected...

A methodological discussion is proposed, aiming at illustrating an analogy between game theory in particular (and mathematical economics in general) and quantum mechanics. This analogy relies on the equivalence of the two fundamental operators employed in the two fields, namely, the expected...

In this work we reexamine quantum electrodynamics of atomic electrons in the Coulomb gauge in the dipole approximation and calculate the shift of atomic energy levels in the context of Dalibard, Dupont-Roc and Cohen-Tannoudji formalism by considering the variation rates of physical observable....

We consider mixed states and coherent states with the same (Poissonian) statistics. By analyzing various properties connected with off-diagonal elements of the density matrix for both states, we find which of them are able (or not) to distinguish these states.

We study the adiabatic limit in the density matrix approach for a quantum system coupled to a weakly dissipative medium. The energy spectrum of the quantum model is supposed to be non-degenerate. In the absence of dissipation, the geometric phases for periodic Hamiltonians obtained previously by...