Lie-admissible Q-algebra and the Pauli exclusion principle

Journal Article · Thu Aug 01 04:00:00 EDT 1991 · Hadronic Journal; (United States)

OSTI ID:7049552

Jannussis, A ^[1]; Brodimas, G; Bascoutas, S ^[2]

---

1. Max-Planck-Inst.-fuer Plasmaphyzik, Garching (Germany) Inst. for Basic Research, Palm Harbor, FL (United States)
2. Univ. of Patras (Greece)

In the present paper the authors connect the Lie-admissible Q-algebra (Q-analysis) with the existing models of the q-deformation theory. With the bosonization method they study the model of Ignatiev-Kuzmin which the corresponding annihilation and creation operators satisfy trilinear commutation relations. The idea of the non-bilinear realization of the creation and annihilation operator algebra is suggested to be important for the description of a small violation of the Pauli principle. The trilinear commutation relations are a particular case of the non-linear Q-algebra. With the same method they study also the Fairlie model of two parameter deformation and we obtain for the two unknown functions the same difference equations as by Curtright and Zachos.

• OSTI ID: 7049552
• Journal Information: Hadronic Journal; (United States), Journal Name: Hadronic Journal; (United States) Vol. 14:4; ISSN HAJOD; ISSN 0162-5519
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
COMMUTATION RELATIONS
CREATION OPERATORS
FIELD THEORIES
LIE GROUPS
MATHEMATICAL OPERATORS
MECHANICS
PAULI PRINCIPLE
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
SYMMETRY GROUPS