# On the quantum nonequilibrium theory with density matrices

## Related Articles

- Path integral for relativistic Aharonov-Bohm-Coulomb system on the pseudo-sphere. Nouicer, Kh.; Chetouani, L. // Journal of Mathematical Physics;Mar2001, Vol. 42 Issue 3, p1053
The Green's function for relativistic spinless Aharonov-Bohm-Coulomb (ABC) system on the pseudo-sphere Î›[sup (2)] is calculated using Kleinert's path integral representation for relativistic spinless particles. The energy spectrum and the corresponding wave functions are extracted for bound...

- Path integral quantization of the dyonium. Dürr, H.; Inomata, A. // Journal of Mathematical Physics;Sep85, Vol. 26 Issue 9, p2231
The dyonium is solved exactly by path integration. The Greenâ€™s function for the dyonium is separated into the monopole harmonics and the radial path integral, and the radial Greenâ€™s function is found in closed form. The exact energy spectrum is also obtained. Diracâ€™s charge...

- Path integral treatment for the one-dimensional Natanzon potentials. Chetouani, L.; Guechi, L.; Lecheheb, A.; Hammann, T. F. // Journal of Mathematical Physics;Apr93, Vol. 34 Issue 4, p1257
The Greenâ€™s function relative to the one-dimensional Natanzon potentials is exactly calculated by the path integral approach. The energy spectrum, the wave functions, and the scattering function S are deduced.

- Exact path integral solution of the Coulomb plus Aharonovâ€“Bohm potential. Chetouani, L.; Guechi, L.; Hammann, T. F. // Journal of Mathematical Physics;Mar1989, Vol. 30 Issue 3, p655
The Greenâ€™s function for the sum of the Coulomb and Aharonovâ€“Bohm potentials is calculated exactly in the path integral formalism. The energy spectrum is deduced.

- Path integral quantization of certain noncentral systems with dynamical symmetries. Carpio-Bernido, M. Victoria // Journal of Mathematical Physics;Jul91, Vol. 32 Issue 7, p1799
Path integral quantization is done for the five classes of potentials appearing in the systematic search for nonrelativistic systems with dynamical symmetries done by Makarov, Smorodinsky, Valiev, and Winternitz [Nuovo Cimento A 52, 1061 (1967)]. By an iterated application of Batemanâ€™s...

- Path integral solution by sum over perturbation series. Lin, De-Hone // Journal of Mathematical Physics;May2000, Vol. 41 Issue 5
A method for calculating the relativistic path integral solution via sum over perturbation series is given. As an application the exact path integral solution of the relativistic Aharonov-Bohm-Coulomb system is obtained by the method. Different from the earlier treatment based on the space-time...

- Adiabatic path integral molecular dynamics methods. II. Algorithms. Cao, J.; Martyna, G. J. // Journal of Chemical Physics;2/1/1996, Vol. 104 Issue 5, p2028
Efficient numerical algorithms are developed for use with two finite temperature semiclassical approximations to quantum dynamics both of which require trajectories generated on potentials of mean force derived from the path integral expression for the density matrix. The numerical algorithms...

- Analytical study of non-linear transport across a semiconductor-metal junction. Peres, N.M.R. // European Physical Journal B -- Condensed Matter;Nov2009, Vol. 72 Issue 2, p183
In this paper we study analytically a one-dimensional model for a semiconductor-metal junction. We study the formation of Tamm states and how they evolve when the semi-infinite semiconductor and metal are coupled together. The non-linear current, as a function of the bias voltage, is studied...

- Nonthermal carrier distributions in the subbands of 2-phonon resonance mid-infrared quantum cascade laser. Kolek, Andrzej; Hałdas, Grzegorz; Bugajski, Maciej // Applied Physics Letters;8/6/2012, Vol. 101 Issue 6, p061110
Nonequilibrium Green's functions model of mid-infrared quantum cascade laser that utilizes double-phonon resonance scheme is analyzed. Good agreement with experimental data is found. For quantities not accessible experimentally, it is shown that electronic distributions in lower active region...