Quantum group and the Lie-Admissible Q-algebra

Journal Article · Sat Jun 01 00:00:00 EDT 1991 · Hadronic Journal; (United States)

OSTI ID:7206190

Jannussis, A ^[1]

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1. Univ. of Patras (Greece) Inst. for Basic Research, Palm Harbor, FL (United States)

In the present paper the author proves that the deformation q-Lie algebra is a particular case of Lie-Admissible Q-algebra. With the help of Fock representation of the new operators A and A{sup +} he can find the eigenvalues of the corresponding non-canonical harmonic oscillator. Also the eigenvalues of the q-deformed harmonic oscillator are found and then can be used for the calculation of the masses of several particles. From the boson realization of the operations A and A{sup +} he can define generalized non-canonical commutation relations between the operator J{sub {plus minus}}, J{sub z} and construct the quantum group SU(2){sub Q,q}. The special case Q = q{sup {minus}1} corresponds exactly to SU(2)q quantum group.

• OSTI ID: 7206190
• Journal Information: Hadronic Journal; (United States), Journal Name: Hadronic Journal; (United States) Vol. 14:3; ISSN HAJOD; ISSN 0162-5519
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
662100 -- General Theory of Particles & Fields-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMMUTATION RELATIONS
EIGENVALUES
ELECTRONIC EQUIPMENT
ELEMENTARY PARTICLES
EQUIPMENT
FOCK REPRESENTATION
GROUP THEORY
HADRONS
HARMONIC OSCILLATORS
LIE GROUPS
MASS
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
OSCILLATORS
QUANTUM MECHANICS
SYMMETRY GROUPS