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

• Authors: S. Walcerz , T. Lulek
• Languages of publication: 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

EN

02.20.+b; 71.45.-d; 75.10.Lp; 75.20.-g

Discipline

• 71.45.-d: Collective effects
• 75.20.-g: Diamagnetism, paramagnetism, and superparamagnetism
• 75.10.Lp: Band and itinerant models

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1991
• Volume: 80
• Issue: 6
• Pages: 781-792

Dates

published

1991-12

received

1991-07-15

(unknown)

1991-09-06

Contributors

author

S. Walcerz

• A. Mickiewicz University, Institute of Physics, Matejki 48/49, 60-769 Poznań, Poland

author

T. Lulek

• A. Mickiewicz University, Institute of Physics, Matejki 48/49, 60-769 Poznań, Poland

Identifiers

DOI

10.12693/APhysPolA.80.781