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Novel group theoretical methods for electron structure theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Novel group theoretical methods for electron structure theory/ by Victor G. Yarzhemsky.
作者:	Yarzhemsky, Victor G.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	x, 202 p. :ill. (some col.), digital ;24 cm.
內容註:	Point Groups and Wavefunctions in Molecules -- Magnetic Groups and Their Applications -- Induced Representations Method in the Theory of Electron Structure -- Cooper Pairs as Two-electron States in Crystals.
Contained By:	Springer Nature eBook
標題:	Electrons - Structure -
電子資源:	https://doi.org/10.1007/978-3-031-72802-0
ISBN:	9783031728020

Novel group theoretical methods for electron structure theory
Yarzhemsky, Victor G.

Novel group theoretical methods for electron structure theory[electronic resource] /by Victor G. Yarzhemsky. - Cham :Springer Nature Switzerland :2025. - x, 202 p. :ill. (some col.), digital ;24 cm.

Point Groups and Wavefunctions in Molecules -- Magnetic Groups and Their Applications -- Induced Representations Method in the Theory of Electron Structure -- Cooper Pairs as Two-electron States in Crystals.

This book presents the induced representation method, a powerful technique in quantum mechanics with applications in condensed matter physics. After introducing the key concepts in group theory and representation theory necessary to understate the technique, the author goes on to explore applications in electron structure theory, namely: basis sets in clusters, normal vibrations, selection rules, two-electron wavefunctions, and space-group representations. This technique allows the simplification of standard techniques for the analysis of molecular orbitals and normal vibrations of molecules. A space group approach to the wavefunction of a Cooper pair based on the Anderson ansatz and Mackey-Bradley theorem is developed, and several applications are considered, namely group-theoretical nodes, non-symmorphic groups, and unification of the group theoretical and topological approaches to the structure of Cooper pairs in unconventional superconductors.

ISBN: 9783031728020

Standard No.: 10.1007/978-3-031-72802-0doiSubjects--Topical Terms:

3782789
Electrons
--Structure

LC Class. No.: QC793.3.S8

Dewey Class. No.: 539.72112

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520 $a This book presents the induced representation method, a powerful technique in quantum mechanics with applications in condensed matter physics. After introducing the key concepts in group theory and representation theory necessary to understate the technique, the author goes on to explore applications in electron structure theory, namely: basis sets in clusters, normal vibrations, selection rules, two-electron wavefunctions, and space-group representations. This technique allows the simplification of standard techniques for the analysis of molecular orbitals and normal vibrations of molecules. A space group approach to the wavefunction of a Cooper pair based on the Anderson ansatz and Mackey-Bradley theorem is developed, and several applications are considered, namely group-theoretical nodes, non-symmorphic groups, and unification of the group theoretical and topological approaches to the structure of Cooper pairs in unconventional superconductors.
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650 0 $a Group theory. $3 523248
650 1 4 $a Condensed Matter Physics. $3 1067080
650 2 4 $a Topological Material. $3 3591906
650 2 4 $a Strongly Correlated Systems. $3 3592817
650 2 4 $a Superconductors. $3 672287
650 2 4 $a Group Theory and Generalizations. $3 893889
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