Q-deformed Fermions Typeset Using Revt E X 1
نویسنده
چکیده
This is a study of q-Fermions arising from a q-deformed algebra of harmonic oscillators. Two distinct algebras will be investigated. Employing the first algebra, the Fock states are constructed for the generalized Fermions obeying Pauli exclusion principle. The distribution function and other thermodynamic properties such as the internal energy and entropy are derived. Another generalization of fermions from a different q-deformed algebra is investigated which deals with q-fermions not obeying the exclusion principle. Fock states are constructed for this system. The basic numbers appropriate for this system are determined as a direct consequence of the algebra. We also establish the Jackson Derivative, which is required for the q-calculus needed to describe these generalized Fermions. Electronic address: [email protected] PACS 02.20.Uw, 03.65.-w, 05.30.-d, 05.90.+m Typeset using REVTEX 1
منابع مشابه
The Deformed Uncertainty Relation and the Corresponding Beam Quality Factor * Typeset Using Revt E X
By using the theory of deformed quantum mechanics, we study the deformed light beam theoretically. The deformed beam quality factor M2 q is given explicitly under the case of deformed light in coherent state. When the deformation parameter q being a root of unity, the beam quality factor M2 q ≤ 1. PACS number(s): 42.60Jf, 42.65Jx, 03.65.-w Typeset using REVTEX ∗The project supported by the Nati...
متن کاملTransformations of q-boson and q-fermion algebras
We investigate the algebras satisfied by q-deformed boson and fermion oscillators, in particular the transformations of the algebra from one form to another. Based on a specific algebra proposed in recent literature, we show that the algebra of deformed fermions can be transformed to that of undeformed standard fermions. Furthermore we also show that the algebra of q-deformed fermions can be tr...
متن کاملIdentical Transitions in the Strongly Deformed 99 Sr and 100 Sr Typeset Using Revt E X 1
The decay of the very neutron-rich nucleus 100 Rb has been studied by γ-spectroscopy of on-line mass-separated samples. Schemes for β-decay to 100 Sr and βn-decay to 99 Sr are presented. New sets of transitions in 99 Sr and 100 Sr with identical energies are observed. All identical bands so far observed in neutron-rich Sr isotopes obey a simple energy rule valid for even-even, odd-even and odd-...
متن کاملWhy Odd-space and Odd-time Dimensions in Even-dimensional Spaces? * Typeset Using Revt E X * Nbi-he-00-26
We are answering the question why 4-dimensional space has the metric 1+ 3 by making a general argument from a certain type of equations of motion linear in momentum for any spin (except spin zero) in any even dimension d. All known free equations for non-zero spin for massless fields belong to this type of equations. Requiring Hermiticity1 of the equations of motion operator as well as irreduci...
متن کاملForm Factor a 0 (q Typeset Using Revt E X 1
We use three-point function QCD sum rules to calculate the form factor A0(q 2) appearing in the matrix element of the flavour-changing axial current between the D(B) state and a vector meson state. We describe the role of this form factor in nonleptonic D(B) → PV decays and analyze the light SU(3)F symmetry breaking effects. We also discuss a proposal to relate the branching ratio of B → Kγ to ...
متن کامل