Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-12-11
Phys. Rev. B 75, 125105 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
RevTeX4, 15 pages
Scientific paper
10.1103/PhysRevB.75.125105
We present a constructive derivation of a time-dependent deformation functional theory -- a collective variable approach to the nonequalibrium quantum many-body problem. It is shown that the motion of infinitesimal fluid elements (i.e. a set of Lagrangian trajectories) in an interacting quantum system is governed by a closed hydrodynamics equation with the stress force being a universal functional of the Green's deformation tensor $g_{ij}$. Since the Lagrangian trajectories uniquely determine the current density, this approach can be also viewed as a representation of the time-dependent current density functional theory. To derive the above theory we separate a "convective" and a "relative" motions of particles by reformulating the many-body problem in a comoving Lagrangian frame. Then we prove that a properly defined many-body wave function (and thus any observable) in the comoving frame is a universal functional of the deformation tensor. Both the hydrodynamic and the Kohn-Sham formulations of the theory are presented. In the Kohn-Sham formulation we derive a few exact representations of the exchange-correlation potentials, and discuss their implication for the construction of new nonadiabatic approximations. We also discuss a relation of the present approach to a recent continuum mechanics of the incompressible quantum Hall liquids.
No associations
LandOfFree
Time-dependent deformation functional theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Time-dependent deformation functional theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time-dependent deformation functional theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-182834