Foundations of the Lie-admissible Fock space of the hadronic mechanics

Conference · Sun Aug 01 04:00:00 EDT 1982 · Hadronic J.; (United States)

OSTI ID:6166707

Jannussis, A ^[1]; Brodimas, G; Sourlas, D; Streclas, A; Siafaricas, P; Papaloucas, L; Tsangas, N

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1. Univ. of Patras, Greece

In the present paper we study the case of coupling harmonic oscillators in hadronic mechanics. The non-canonical commutation relations of position and momentum operators are reduced, by Fock representation, to the known relations of Q-algebra. In the general case: (A,A/sup +/) = AA/sup +/ - A/sup +/QA, of a Lie-admissible algebra, where Q is an operator, we can define new Fock creation and annihilation operators, which describe some particles only under certain conditions, which must be fulfilled by the operator Q. When we have a simple hadronic harmonic oscillator, the Q is a scalar less than 1, and we have energic saturation in eigenvalues spectrum. In this case the generalized uncertainty principle of Heisenberg is valid have energic saturation in eigenvalues spectrum. In this case the generalized uncertainly principle of Heisenberg is valid according to Santilli's theory. Finally, the coherent states of annihilation operator A are given and the Weyl displacement operator is generalized in Q-algebra.

• OSTI ID: 6166707
• Report Number(s): CONF-820136-
• Conference Information: Journal Name: Hadronic J.; (United States) Journal Volume: 5:5
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANNIHILATION OPERATORS
COMMUTATION RELATIONS
CREATION OPERATORS
ELEMENTARY PARTICLES
HADRONS
HARMONIC OSCILLATOR MODELS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
PARTICLE MODELS
QUANTUM OPERATORS
SPACE
SYMMETRY GROUPS
UNCERTAINTY PRINCIPLE