Publication: Nonlinear Schrödinger and gross - Pitaevskii equations in the Bohmian or Quantum Fluid Dynamics (QFD) representation
Program
KU-Authors
KU Authors
Co-Authors
Advisor
Publication Date
2018
Language
English
Type
Book Chapter
Journal Title
Journal ISSN
Volume Title
Abstract
The Quantum Fluid Dynamics (QFD) representation has its foundations in the works of Madelung (1929), De Broglie (1930 - 1950) and Bohm (1950 - 1970). It is an interpretation of quantum mechanics with the goal to find classically identifiable dynamical variables at the sub-particle level. The approach leads to two conservation laws, one for "mass" and one for "momentum", similar to those in hydrodynamics for a compressible fluid with a particular constitutive law. The QFD equations are a set of nonlinear partial differential equations. This paper extends the QFD formalism of quantum mechanics to the Nonlinear Schrödinger and the Gross-Pitaevskii equation.
Description
Source:
Advanced Structured Materials
Publisher:
Springer
Keywords:
Subject
General materials science