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Induced Representation Method in the Theory of Electron Structure and Superconductivity
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
It is shown that the application of theorems of induced representations method, namely, Frobenius reciprocity theorem, transitivity of induction theorem, and Mackey theorem on symmetrized squares, makes simplifying standard techniques in the theory of electron structure and constructing Cooper pair wavefunctions on the basis of one-electron solid-state wavefunctions possible.
It is proved that the nodal structure of topological superconductors in the case of multidimensional irreducible representations is defined by additional quantum numbers.
The technique is extended on projective representations in the case of nonsymmorphic space groups and examples of applications for topological superconductors UPt3 and Sr2RuO4 are considered.
American Psychological Association (APA)
Yarzhemsky, V. G.. 2019. Induced Representation Method in the Theory of Electron Structure and Superconductivity. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1118948
Modern Language Association (MLA)
Yarzhemsky, V. G.. Induced Representation Method in the Theory of Electron Structure and Superconductivity. Advances in Mathematical Physics No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1118948
American Medical Association (AMA)
Yarzhemsky, V. G.. Induced Representation Method in the Theory of Electron Structure and Superconductivity. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1118948
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118948