scholarly journals On the Deformed Oscillator and the Deformed Derivative Associated with the Tsallis q-exponential

2020 ◽  
Vol 59 (8) ◽  
pp. 2647-2669
Author(s):  
Ramaswamy Jagannathan ◽  
Sameen Ahmed Khan
Keyword(s):  
Deformed Oscillator

scholarly journals Symmetries and integrals of motion of a superintegrable deformed oscillator

2021 ◽  
pp. 168428
Author(s):  
Joanna Gonera ◽  
Artur Jasiński ◽  
Piotr Kosiński
Keyword(s):  
Integrals Of Motion ◽  
Deformed Oscillator

Algebraic approach to the projected deformed oscillator model

1981 ◽  
Vol 355 (1) ◽  
pp. 25-44 ◽  
Author(s):  
R.M. Asherova ◽  
Yu.F. Smirnov ◽  
V.N. Tolstoy ◽  
A.P. Shustov
Keyword(s):  
Algebraic Approach ◽  
Oscillator Model ◽  
Deformed Oscillator

Deformed oscillator for the Morse potential

1993 ◽  
Vol 203 (2-3) ◽  
pp. 150-156 ◽  
Author(s):  
Dennis Bonatsos ◽  
C. Daskaloyannis
Keyword(s):  
Morse Potential ◽  
Deformed Oscillator

Photon added coherent states of the parity deformed oscillator

2019 ◽  
Vol 34 (14) ◽  
pp. 1950104 ◽  
Author(s):  
A. Dehghani ◽  
B. Mojaveri ◽  
S. Amiri Faseghandis
Keyword(s):  
Coherent States ◽  
Uncertainty Relation ◽  
Annihilation Operator ◽  
Single Mode ◽  
Heisenberg Algebra ◽  
Uncertainty Relations ◽  
Deformed Oscillator ◽  
Cat States ◽  
Poissonian Statistics ◽  
Creation Operators

Using the parity deformed Heisenberg algebra (RDHA), we first establish associated coherent states (RDCSs) for a pseudo-harmonic oscillator (PHO) system that are defined as eigenstates of a deformed annihilation operator. Such states can be expressed as superposition of an even and odd Wigner cat states.[Formula: see text] The RDCSs minimize a corresponding uncertainty relation, and resolve an identity condition through a positive definite measure which is explicitly derived. We introduce a class of single-mode excited coherent states (PARDCS) of the PHO through “m” times application of deformed creation operators to RDCS. For the states thus constructed, we analyze their statistical properties such as squeezing and sub-Poissonian statistics as well as their uncertainty relations.

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