Schrödinger theory of electrons : complementary perspectives / Viraht Sahni.
Sahni, Viraht, 1944- author.
2022
QC174.13
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Title Schrödinger theory of electrons : complementary perspectives / Viraht Sahni.
Author Sahni, Viraht, 1944- author.
ISBN 9783030974091 (electronic bk.)
303097409X (electronic bk.)
9783030974084
3030974081
DOI https://doi.org/10.1007/978-3-030-97409-1
Published Cham : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource (xviii, 407 pages) : illustrations (chiefly color).
Item Number 10.1007/978-3-030-97409-1 doi
Call Number QC174.13
Dewey Decimal Classification 530.12
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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Series Springer tracts in modern physics ; 285.
Available in Other Form Schrödinger theory of electrons.
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All Resources
Introduction
Schrodinger Theory of Electrons: A Complementary Perspective
Generalization of the Schrodinger Theory of Electrons
Schrodinger-Pauli Theory of Electrons: A Complementary Perspective.

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