# 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...

- Angular Quantization and the Density Matrix Renormalization Group. Gaite, J. // Modern Physics Letters A;6/7/2001, Vol. 16 Issue 17, p1109
Path integral techniques for the density matrix of a one-dimensional statistical system near a boundary previously employed in black-hole physics are applied to provide a new interpretation of the density matrix renormalization group: Its efficacy is due to the concentration of quantum states...

- 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...

- Small matrix disentanglement of the path integral: Overcoming the exponential tensor scaling with memory length. Makri, Nancy // Journal of Chemical Physics;1/28/2020, Vol. 152 Issue 4, p1
The discretized path integral expression for the reduced density matrix (RDM) of a system interacting with a dissipative harmonic bath is fully entangled because of influence functional terms that couple the variables at different time points. The iterative decomposition of the path integral,...