Multi-parameter deformations and multi-particle representations of the bosonic oscillator

2001 ◽  
Vol 20 (2) ◽  
pp. 389-391 ◽  
Author(s):  
M. Arik ◽  
A.S. Arikan
Keyword(s):  
Bosonic Oscillator

Bosonic Oscillator on the de Sitter and the Anti-de Sitter Spaces

2019 ◽  
Vol 60 (3) ◽  
Author(s):  
M. Hadj Moussa ◽  
M. Merad ◽  
A. Merad
Keyword(s):  
De Sitter ◽  
Bosonic Oscillator

The Representation of Bosonic Oscillator

1996 ◽  
Vol 26 (1) ◽  
pp. 121-124
Author(s):  
Ning Wu ◽  
Tu-nan Ruan
Keyword(s):  
Bosonic Oscillator

A NOTE ON QUANTUM OSCILLATORS COUPLED BY NONRESONANT INTERACTION: ENVIRONMENT MODIFYING DYNAMICS

2004 ◽  
Vol 18 (14) ◽  
pp. 2019-2026
Author(s):  
N. G. DE ALMEIDA ◽  
A. T. AVELAR ◽  
B. BASEIA
Keyword(s):  
Single Mode ◽  
Frequency Dependent ◽  
Fermionic System ◽  
Bosonic Oscillator

We study the dynamics of a single fermionic system interacting non-resonantly with a single mode of a bosonic oscillator coupled to a reservoir. It is shown that the damping rates for both systems are modified when the action of their environments are frequency-dependent. The interest of such demand is discussed.

ON A ONE-PARAMETER FAMILY OF EXOTIC SUPERSPACES IN TWO DIMENSIONS

1991 ◽  
Vol 06 (35) ◽  
pp. 3239-3250 ◽  
Author(s):  
MURAT GÜNAYDIN
Keyword(s):  
Two Dimensions ◽  
Parameter Family ◽  
Oscillator Algebra ◽  
Jordan Superalgebras ◽  
Special Values ◽  
Finite Dimensional ◽  
Operator Realization ◽  
The One ◽  
Conformal Superalgebras ◽  
Bosonic Oscillator

Using Jordan algebraic techniques we define and study a family of exotic superspaces in two dimensions with two bosonic and two fermionic coordinates. They are defined by the one-parameter family of Jordan superalgebras JD (2/2)α. For two special values of α the JD (2/2)α can be realized in terms of a single fermionic or a single bosonic oscillator, respectively. For other values of α it can be interpreted as defining an exotic oscillator algebra. The derivation, reduced structure and Möbius superalgebras of JD (2/2)α are identified with the rotation, Lorentz and finite-dimensional conformal superalgebras of the corresponding superspaces. The conformal superalgebras turn out to be the superalgebras D(2,1;α) with the even subgroup SO(2,2)×SU(2) . We give an explicit differential operator realization of the actions of D(2,1;α) on these superspaces.

TAMM-DANCOFF DEFORMATION OF BOSONIC OSCILLATOR ALGEBRAS

1993 ◽  
Vol 08 (39) ◽  
pp. 3727-3734 ◽  
Author(s):  
S. CHATURVEDI ◽  
V. SRINIVASAN ◽  
R. JAGANNATHAN
Keyword(s):  
High Energy ◽  
Oscillator Algebra ◽  
Energy Cutoff ◽  
Similar Deformation ◽  
Bosonic Oscillator ◽  
Oscillator Algebras

The Tamm-Dancoff (TD) deformation of the boson oscillator incorporates a high energy cutoff in its spectrum. It is found that one can obtain a similar deformation of any generalized bosonic oscillator algebra. The Hopf (or ‘quantum’) algebraic aspects of the TD-deformation are discussed. Examples are given.

scholarly journals MINIMAL BOSONIZATION OF SUPERSYMMETRY

1996 ◽  
Vol 11 (05) ◽  
pp. 397-408 ◽  
Author(s):  
MIKHAIL S. PLYUSHCHAY
Keyword(s):  
Quantum Mechanics ◽  
Symmetry Algebra ◽  
Dynamical Symmetry ◽  
Degree Of Freedom ◽  
Supersymmetric Quantum Mechanics ◽  
Supersymmetric Extension ◽  
Calogero Model ◽  
Parity Operator ◽  
Relationship Of ◽  
Bosonic Oscillator

The minimal bosonization of supersymmetry in terms of one bosonic degree of freedom is considered. A nontrivial relationship of the construction to the Witten supersymmetric quantum mechanics is illustrated with the help of the simplest N=2 SUSY system realized on the basis of the ordinary (undeformed) bosonic oscillator. It is shown that the generalization of such a construction to the case of Vasiliev deformed bosonic oscillator gives a supersymmetric extension of the two-body Calogero model in the phase of exact or spontaneously broken N=2 SUSY. The construction admits an extension to the case of the OSp(2|2) supersymmetry, and, as a consequence, osp(2|2) superalgebra is revealed as a dynamical symmetry algebra for the bosonized supersymmetric Calogero model. Realizing the Klein operator as a parity operator, we construct the bosonized Witten supersymmetric quantum mechanics. Here the general case of the corresponding bosonized N=2 SUSY is given by an odd function being a superpotential.

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