Schrödinger theory of electrons : complementary perspectives / Viraht Sahni.

Format:

Book

Author/Creator:

Sahni, Viraht, 1944- author.

Series:

Springer tracts in modern physics ; 285.

Springer tracts in modern physics ; volume 285

Language:

English

Subjects (All):

Schrödinger, Erwin, 1887-1961.

Schrödinger, Erwin.

Quantum theory.

Electrons.

Quantum Theory.

Medical Subjects:

Quantum Theory.

Electrons.

Genre:

Electronic books.

Physical Description:

1 online resource : illustrations (chiefly color).

Place of Publication:

Cham : Springer, [2022]

Summary:

This book presents a complementary perspective to Schrodinger theory of electrons in an electromagnetic field, one that does not appear in any text on quantum mechanics. The perspective, derived from Schrodinger theory, is that of the individual electron in the sea of electrons via its temporal and stationary-state equations of motion the Quantal Newtonian Second and First Laws. The Laws are in terms of classical fields experienced by each electron, the sources of the fields being quantum-mechanical expectation values of Hermitian operators taken with respect to the wave function. Each electron experiences the external field, and internal fields representative of properties of the system, and a field descriptive of its response. The energies are obtained in terms of the fields. The Quantal Newtonian Laws lead to physical insights, and new properties of the electronic system are revealed. New mathematical understandings of Schrodinger theory emerge which show the equation to be intrinsically self-consistent. Another complimentary perspective to Schrodinger theory is its manifestation as a local effective potential theory described via Quantal Density Functional theory. This description too is in terms of classical fields and quantal sources. The theory provides a rigorous physical explanation of the mapping from the interacting system to the local potential theory equivalent. The complementary perspective to stationary ground state Schrodinger theory founded in the theorems of Hohenberg and Kohn, their extension to the presence of a magnetic field and to the temporal domain Modern Density Functional Theory -- is also described. The new perspectives are elucidated by application to analytically solvable interacting systems. These solutions and other relevant wave function properties are derived.

Contents:

Introduction

Schrodinger Theory of Electrons: A Complementary Perspective

Generalization of the Schrodinger Theory of Electrons

Schrodinger-Pauli Theory of Electrons: A Complementary Perspective.

Notes:

Includes bibliographical references and index.

Print version record.

Other Format:

Print version: Sahni, Viraht, 1944- Schrödinger theory of electrons.

ISBN:

9783030974091

303097409X

OCLC:

1335039773

Access Restriction:

Restricted for use by site license.