Unified view of deformed single-mode oscillator algebras
نویسندگان
چکیده
منابع مشابه
Deformed oscillator algebras for two-dimensional quantum superintegrable systems.
Quantum superintegrable systems in two dimensions are obtained from their classical counterparts, the quantum integrals of motion being obtained from the corresponding classical integrals by a symmetrization procedure. For each quantum superintegrable system a deformed oscillator algebra, characterized by a structure function specific for each system, is constructed, the generators of the algeb...
متن کاملIrreducibility and Compositeness in q-Deformed Harmonic Oscillator Algebras
q-Deformed harmonic oscillator algebra for real and root of unity values of the deformation parameter is discussed by using an extension of the number concept proposed by Gauss, namely the Q-numbers. A study of the reducibility of the Fock space representation which explores the properties of the Gauss polynomials is presented. When the deformation parameter is a root of unity, an interesting r...
متن کاملA Current-Mode Single-Resistance-Controlled Oscillator Employing VDCC and All Grounded Passive Elements
Realization of a novel single-resistance-controlled oscillator, employing an active element and all grounded passive elements, is the purpose of this manuscript. With requirements for completing the design being only a single Voltage Differencing Current Conveyor and four grounded passive components, it is also a preferable choice for integrated circuit implementation. The designed circuit has ...
متن کاملDeformed Oscillator Algebras and Higher-spin Gauge Interactions of Matter Fields in 2+1 Dimensions
We formulate a non-linear system of equations which describe higher-spin gauge interactions of massive matter fields in 2+1 dimensional space-time and explain some properties of the deformed oscillator algebra which underlies this formulation. In particular we show that the parameter of mass M of matter fields is related to the deformation parameter in this algebra.
متن کاملq-deformed W-algebras and elliptic algebras
The elliptic algebra Aq,p(ŝl(N)c) at the critical level c = −N has an extended center containing trace-like operators t(z). Families of Poisson structures, defining q-deformations of the WN algebra, are constructed. The operators t(z) also close an exchange algebra when (−p1/2)NM = q−c−N for M ∈ Z. It becomes Abelian when in addition p = qNh where h is a non-zero integer. The Poisson structures...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 1994
ISSN: 0370-2693
DOI: 10.1016/0370-2693(94)90427-8