國立虎尾科技大學 |

Schrödinger Theory of Electrons: Complementary Perspectives

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Schrödinger Theory of Electrons: Complementary Perspectives/ by Viraht Sahni.
Author:	Sahni, Viraht.
Description:	XVIII, 407 p. 54 illus., 41 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Quantum physics. -
Online resource:	https://doi.org/10.1007/978-3-030-97409-1
ISBN:	9783030974091

Schrödinger Theory of Electrons: Complementary Perspectives
Sahni, Viraht.

Schrödinger Theory of Electrons: Complementary Perspectives[electronic resource] /by Viraht Sahni. - 1st ed. 2022. - XVIII, 407 p. 54 illus., 41 illus. in color.online resource. - Springer Tracts in Modern Physics,2851615-0430 ;. - Springer Tracts in Modern Physics,260.

Introduction -- Schrödinger Theory of Electrons: A Complementary Perspective -- Generalization of the Schrödinger Theory of Electrons -- Schrödinger-Pauli Theory of Electrons: A Complementary Perspective.

This book presents a complementary perspective to Schrödinger theory of electrons in an electromagnetic field, one that does not appear in any text on quantum mechanics. The perspective, derived from Schrödinger 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 Schrödinger theory emerge which show the equation to be intrinsically self-consistent. Another complimentary perspective to Schrödinger 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 Schrödinger 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.

ISBN: 9783030974091

Standard No.: 10.1007/978-3-030-97409-1doiSubjects--Topical Terms:

1179090
Quantum physics.

LC Class. No.: QC173.96-174.52

Dewey Class. No.: 530.12

Schrödinger Theory of Electrons: Complementary Perspectives
LDR:03501nam a22004095i 4500 001 1088356
003 DE-He213
005 20220707232239.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783030974091 $9 978-3-030-97409-1
024 7 $a 10.1007/978-3-030-97409-1 $2 doi
035 $a 978-3-030-97409-1
050 4 $a QC173.96-174.52
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
072 7 $a PHQ $2 thema
082 0 4 $a 530.12 $2 23
100 1 $a Sahni, Viraht. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1112991
245 1 0 $a Schrödinger Theory of Electrons: Complementary Perspectives $h [electronic resource] / $c by Viraht Sahni.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a XVIII, 407 p. 54 illus., 41 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer Tracts in Modern Physics, $x 1615-0430 ; $v 285
505 0 $a Introduction -- Schrödinger Theory of Electrons: A Complementary Perspective -- Generalization of the Schrödinger Theory of Electrons -- Schrödinger-Pauli Theory of Electrons: A Complementary Perspective.
520 $a This book presents a complementary perspective to Schrödinger theory of electrons in an electromagnetic field, one that does not appear in any text on quantum mechanics. The perspective, derived from Schrödinger 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 Schrödinger theory emerge which show the equation to be intrinsically self-consistent. Another complimentary perspective to Schrödinger 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 Schrödinger 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.
650 0 $a Quantum physics. $3 1179090
650 0 $a Condensed matter. $3 579760
650 0 $a Elementary particles (Physics). $3 1254811
650 0 $a Quantum field theory. $3 579915
650 1 4 $a Quantum Physics. $3 671960
650 2 4 $a Condensed Matter Physics. $3 768417
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 672693
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030974084
776 0 8 $i Printed edition: $z 9783030974107
776 0 8 $i Printed edition: $z 9783030974114
830 0 $a Springer Tracts in Modern Physics, $x 0081-3869 ; $v 260 $3 1254078
856 4 0 $u https://doi.org/10.1007/978-3-030-97409-1
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)