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Related Experiment Video

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Linear continuum mechanics for quantum many-body systems.

Jianmin Tao¹, Xianlong Gao, G Vignale

¹Theoretical Division and CNLS, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

Physical Review Letters

|October 2, 2009

Summary

This summary is machine-generated.

We present a new continuum mechanics theory for quantum many-body systems. This framework uses a displacement field to describe quantum systems, accurately predicting excitation spectra for various particle systems.

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Area of Science:

Quantum mechanics
Condensed matter physics
Continuum mechanics

Background:

Developing theoretical frameworks for quantum many-body systems is crucial for understanding complex phenomena.
Linear response theory is a powerful tool for probing system dynamics.

Purpose of the Study:

To develop a continuum mechanics approach for quantum many-body systems.
To derive and analyze the equation of motion for the displacement field.
To validate the theory with model applications.

Main Methods:

Formulating continuum mechanics for quantum systems.
Deriving a closed equation of motion for the displacement field.
Assuming wave function deformation in a comoving frame.
Applying the theory to one- and two-electron systems.

Main Results:

A closed equation of motion for the displacement field was derived.
The derived equation is exact for single-particle systems and high-frequency regimes.
The theory yields an excitation spectrum with correct integrated strength.
Model applications demonstrate the theory's utility.

Conclusions:

The developed continuum mechanics provides a novel perspective on quantum many-body dynamics.
The displacement field is an effective variable for describing quantum system responses.
The theory offers accurate predictions for excitation spectra in specific limits.