Quantum group and the LieAdmissible Qalgebra
Abstract
In the present paper the author proves that the deformation qLie algebra is a particular case of LieAdmissible Qalgebra. With the help of Fock representation of the new operators A and A{sup +} he can find the eigenvalues of the corresponding noncanonical harmonic oscillator. Also the eigenvalues of the qdeformed 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 noncanonical 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.
 Authors:

 Univ. of Patras (Greece) Inst. for Basic Research, Palm Harbor, FL (United States)
 Publication Date:
 OSTI Identifier:
 7206190
 Resource Type:
 Journal Article
 Journal Name:
 Hadronic Journal; (United States)
 Additional Journal Information:
 Journal Volume: 14:3; Journal ID: ISSN 01625519
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM MECHANICS; GROUP THEORY; BOSONS; COMMUTATION RELATIONS; EIGENVALUES; ELEMENTARY PARTICLES; FOCK REPRESENTATION; HADRONS; HARMONIC OSCILLATORS; LIE GROUPS; MASS; MATHEMATICAL OPERATORS; ELECTRONIC EQUIPMENT; EQUIPMENT; MATHEMATICS; MECHANICS; OSCILLATORS; SYMMETRY GROUPS; 661100*  Classical & Quantum Mechanics (1992); 662100  General Theory of Particles & Fields (1992)
Citation Formats
Jannussis, A. Quantum group and the LieAdmissible Qalgebra. United States: N. p., 1991.
Web.
Jannussis, A. Quantum group and the LieAdmissible Qalgebra. United States.
Jannussis, A. Sat .
"Quantum group and the LieAdmissible Qalgebra". United States.
@article{osti_7206190,
title = {Quantum group and the LieAdmissible Qalgebra},
author = {Jannussis, A},
abstractNote = {In the present paper the author proves that the deformation qLie algebra is a particular case of LieAdmissible Qalgebra. With the help of Fock representation of the new operators A and A{sup +} he can find the eigenvalues of the corresponding noncanonical harmonic oscillator. Also the eigenvalues of the qdeformed 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 noncanonical 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.},
doi = {},
journal = {Hadronic Journal; (United States)},
issn = {01625519},
number = ,
volume = 14:3,
place = {United States},
year = {1991},
month = {6}
}
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