Title: The One Body WignerMoyal Density for a Locally Linear Potential of Arbitrary Dimension Classic Reprint
Publisher: Forgotten Books
Publication Date: 2019
Language: English
ISBN 10: 0365176389
ISBN 13: 9780365176381
Binding: HRD
Condition: New
Weight: 392 grams

About this title

Synopsis

Explore a rigorous look at quantum densities and how they behave in complex systems.

This edition presents a clear path from basic Wigner-Moyal density concepts to practical results for many-particle systems in arbitrary dimensions. Readers will see how the density approach connects to classic ideas like the Thomas-Fermi model and the Hartree-Fock framework, with attention to shell structure and boundary behavior.

The material centers on transforming a many-body problem into a tractable form using the Wigner-Moyal density. It shows how to derive one-particle densities for interacting oscillators and relates those results to non-interacting cases in D dimensions. The discussion blends formal apparatus with concrete results, including asymptotic expansions and connections to well-known approximations.

How the Wigner-Moyal density is used to obtain closed-form or tractable results for complex quantum systems.
Connections between Thomas-Fermi theory, exchange terms, and oscillatory shell behavior.
Step-by-step development from general D-dimensional potentials to specific cases like the harmonic oscillator.
Transformation techniques and how they preserve physical properties such as antisymmetry.

Ideal for readers of advanced quantum mechanics, statistical physics, and theoretical chemistry who want a rigorous yet accessible treatment of density methods in multiple dimensions.

"About this title" may belong to another edition of this title.

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