Time-Dependent Density Functional Theory from a Bohmian Perspective

TL;DR

This paper explores the connection between time-dependent density functional theory and quantum hydrodynamics, highlighting how Bohmian mechanics can serve as a useful interpretative and computational framework in ab-initio methods.

Contribution

It provides an overview of integrating Bohmian mechanics into time-dependent DFT and quantum hydrodynamics for improved understanding and computational approaches.

Findings

Bohmian mechanics offers a valuable interpretative perspective.

It enhances numerical methods in time-dependent DFT.

The approach bridges quantum hydrodynamics and density functional theory.

Abstract

This article has been published as a chapter in "Chemical Reactivity Theory: A Density Functional View", ed. P. K. Chattaraj (CRC Press, New York, 2009), ch. 8, p. 105. In it, an overview of the relationship between time-dependent DFT and quantum hydrodynamics is presented, showing the role that Bohmian mechanics can play within the ab-initio methodology as both a numerical and an interpretative tool.