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The Global Symmetry Group of Quantum Spectral Beams and Geometric Phase Factors
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-07
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We propose a cohomological modelling schema of quantum state spaces and their connectivity structures in relation to the formulation of global geometric phase phenomena.
In the course of this schema, we introduce the notion of Hermitian differential line sheaves or unitary rays and classify their gauge equivalence classes in terms of a global differential invariant given by the de Rham cohomology class of the curvature.
Furthermore, we formulate and interpret physically the curvature recognition integrality theorem for unitary rays.
Using this recognition theorem, we define the notion of a quantum spectral beam and show that it has an affine space structure with structure group given by the characters of the fundamental group.
American Psychological Association (APA)
Zafiris, Elias. 2015. The Global Symmetry Group of Quantum Spectral Beams and Geometric Phase Factors. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1052875
Modern Language Association (MLA)
Zafiris, Elias. The Global Symmetry Group of Quantum Spectral Beams and Geometric Phase Factors. Advances in Mathematical Physics No. 2015 (2015), pp.1-16.
https://search.emarefa.net/detail/BIM-1052875
American Medical Association (AMA)
Zafiris, Elias. The Global Symmetry Group of Quantum Spectral Beams and Geometric Phase Factors. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1052875
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052875