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1991 | 80 | 6 | 781-792
Article title

Coupled States of the System of Two Free Electrons on a Single Star

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EN
Abstracts
EN
A classification scheme of quantum states for the system of two free electrons in a cubic box, confined to a single star of quasi-momentum is proposed within a Racah-Wigner type of approach. Coupling of angular momenta of the atomic case is here substituted by Mackey theorem for transitive representations, which provides a crystalline analogue of orbital angular momentum - the resultant orbit of the geometric symmetry group. The action of the Pauli group is combined with that of the octahedral group which yields the connection between spin (i.e. the singlet or triplet pairing of electrons) and statistic of the positional factor. Resultant singlets and doublets - irreducible representations of the octahedral group, exhibit an ordinary Landau diamagnetic behaviour, whereas triplets are paramagnetic. A relation between the Mackey star and the star of resultant momentum is discussed.
Keywords
Publisher

Year
Volume
80
Issue
6
Pages
781-792
Physical description
Dates
published
1991-12
received
1991-07-15
(unknown)
1991-09-06
Contributors
author
  • A. Mickiewicz University, Institute of Physics, Matejki 48/49, 60-769 Poznań, Poland
author
  • A. Mickiewicz University, Institute of Physics, Matejki 48/49, 60-769 Poznań, Poland
References
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv80z602kz
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