Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session L18: Quantum Manybody Systems: Theory and Computation I
11:15 AM–2:03 PM,
Wednesday, March 6, 2019
BCEC Room: 156B
Sponsoring Unit: DCOMP
Chair: Khadijeh Najafi, Georgetown University
Abstract: L18.00014 : Quantum Fluid Dynamics (QFD ) or Bohmian Representation of Schrödinger Equation with Navier – Stokes Type Dissipation Attila Askar Koc University, Sariyer, Istanbul 34450, Turkey
1:51 PM–2:03 PM
The QFD approach leads to two conservation laws, for ”mass” and ”momentum”, similar to those in fluid-dynamics for a compressible fluid as a set of nonlinear partial differential equations. The QFD formalism is utilized advantageously for solving the time dependent Schrödinger equation for scattering problems.
This paper extends the QFD formalism to include dissipation in the form of Navier – Stokes term in classical fluid dynamics. The introduction of dissipation in the Navier – Stokes sense transform the differential equations from hyperbolic to parabolic type, with nonlinear and dispersive terms. These offer a natural framework for fundamentally new phenomena, in particular possibility of dissipation in quantum mechanics, solitons, vortices and chaos.
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