A. K. Rajagopal

TL;DR: In this paper, the ground state energy of a system of interacting electrons is expressed as a functional function of the current density of the system, and a spin-dependent term which leads, in the nonrelativistic limit, to a local potential which is also spin dependent.

TL;DR: In this article, the authors introduced a model of relaxation in complex systems in which the relaxation rate conventionally considered as time independent in simpler systems may become time dependent, and the mechanism for the macroscopic relaxation can often be traced on the microscopic level, however, to a fundamental relaxation mode with simple relaxation rate W, = 7;' of the primitive species (PS) that is isolated except for its interaction with the heat bath.

TL;DR: A relativistic generalisation of the Hohenberg-Kohn-Sham theory of the inhomogeneous non-relativistic electron gas was presented in this article, where the results of the homogeneous electron gas are used as input, and a selfconsistent one-particle Dirac-like equation was derived.

TL;DR: In this article, a relaxing complex system such as entangled polymer melt is considered, where a heat bath is represented by time dependent constraints whose effect begins only after the primary relaxation process due to the PS−HB interaction is already underway.

TL;DR: In this article, an uncertainty relation that tightens the lower bound of Berta et al. by incorporating an additional term that depends on the quantum discord and the classical correlations of the joint state of the observed system and the quantum memory is obtained.