Deb, B. M. ; Ghosh, S. K.
(1982)
*Schrodinger fluid dynamics of many-electron systems in a time-dependent density-functional framework*
Journal of Chemical Physics, 77
(1).
pp. 342-348.
ISSN 0021-9606

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Official URL: http://jcp.aip.org/resource/1/jcpsa6/v77/i1/p342_s...

Related URL: http://dx.doi.org/10.1063/1.443611

## Abstract

For an N electron system, a connection is explored between density-functional theory and quantum fluid dynamics, through a dynamical extension of the former. First, we prove the Hohenberg-Kohn theorem for a time-dependent harmonic perturbation under conditions which guarantee the existence of the corresponding steady (or quasiperiodic) states of the system. The corresponding one-particle time-dependent Schrodinger equation is then variationally derived starting from a fluid-dynamical Lagrangian density. The subsequent fluid-dynamical interpretation preserves the "particle" description of the system in the sense that the N-electron fluid has N components each of which is an independent-particle Schrodinger fluid characterized by a density function ρ _{j} and an irrotational velocity field u_{j}, j = 1,…,N. However, the mean velocity u of the fluid is not irrotational, in general. The force densities and the stress tensor occurring in the Navier-Stokes equation are physically interpreted. The present work is another step towards the interpretation of physicochemical phenomena in three dimensional space.

Item Type: | Article |
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Source: | Copyright of this article belongs to American Institute of Physics. |

ID Code: | 9111 |

Deposited On: | 29 Oct 2010 11:35 |

Last Modified: | 31 May 2011 06:44 |

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