東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Schrödinger theory of electrons = c...

Sahni, Viraht.

FindBook

Google Book

Amazon

博客來

Schrödinger theory of electrons = complementary perspectives /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Schrödinger theory of electrons/ by Viraht Sahni.
其他題名:	complementary perspectives /
作者:	Sahni, Viraht.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xviii, 407 p. :ill. (chiefly color), digital ;24 cm.
內容註:	Introduction -- Schrodinger Theory of Electrons: A Complementary Perspective -- Generalization of the Schrodinger Theory of Electrons -- Schrodinger-Pauli Theory of Electrons: A Complementary Perspective.
Contained By:	Springer Nature eBook
標題:	Quantum theory. -
電子資源:	https://doi.org/10.1007/978-3-030-97409-1
ISBN:	9783030974091

Schrödinger theory of electrons = complementary perspectives /
Sahni, Viraht.

Schrödinger theory of electronscomplementary perspectives /[electronic resource] :by Viraht Sahni. - Cham :Springer International Publishing :2022. - xviii, 407 p. :ill. (chiefly color), digital ;24 cm. - Springer tracts in modern physics,v. 2851615-0430 ;. - Springer tracts in modern physics ;v. 285..

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

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 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--Personal Names:

534231
Schrodinger, Erwin,
1887-1961.Subjects--Topical Terms:

516552
Quantum theory.

LC Class. No.: QC174.13 / .S34 2022

Dewey Class. No.: 530.12

Schrödinger theory of electrons = complementary perspectives /
LDR:03123nmm a2200337 a 4500 001 2302775
003 DE-He213
005 20220707232239.0
006 m d
007 cr nn 008maaau
008 230409s2022 sz s 0 eng d
020 $a 9783030974091 $q (electronic bk.)
020 $a 9783030974084 $q (paper)
024 7 $a 10.1007/978-3-030-97409-1 $2 doi
035 $a 978-3-030-97409-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.13 $b .S34 2022
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
090 $a QC174.13 $b .S131 2022
100 1 $a Sahni, Viraht. $3 2210503
245 1 0 $a Schrödinger theory of electrons $h [electronic resource] : $b complementary perspectives / $c by Viraht Sahni.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xviii, 407 p. : $b ill. (chiefly color), digital ; $c 24 cm.
490 1 $a Springer tracts in modern physics, $x 1615-0430 ; $v v. 285
505 0 $a Introduction -- Schrodinger Theory of Electrons: A Complementary Perspective -- Generalization of the Schrodinger Theory of Electrons -- Schrodinger-Pauli Theory of Electrons: A Complementary Perspective.
520 $a 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 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.
600 1 0 $a Schrodinger, Erwin, $d 1887-1961. $3 534231
650 0 $a Quantum theory. $3 516552
650 0 $a Electrons. $3 516581
650 1 4 $a Quantum Physics. $3 893952
650 2 4 $a Condensed Matter Physics. $3 1067080
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 894026
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer tracts in modern physics ; $v v. 285. $3 3603445
856 4 0 $u https://doi.org/10.1007/978-3-030-97409-1
950 $a Physics and Astronomy (SpringerNature-11651)