22 citations · 87 across the 13 of their papers we have counts for
7 papers · 1 filter
A new kind of representations on noncommutative phase space
Si-Cong Jing, Bing-Sheng Lin
We introduce new representations to formulate quantum mechanics on noncommutative phase space, in which both coordinate-coordinate and momentum-momentum are noncommutative. These r…
Deformed squeezed states in noncommutative phase space
Bing-Sheng Lin, Si-Cong Jing
A deformed boson algebra is naturally introduced from studying quantum mechanics on noncommutative phase space in which both positions and momenta are noncommuting each other. Base…
Deformation quantization for coupled harmonic oscillators on a general noncommutative space
Bing-Sheng Lin, Si-Cong Jing, Tai-Hua Heng
Deformation quantization is a powerful tool to quantize some classical systems especially in noncommutative space. In this work we first show that for a class of special Hamiltonia…
A New Kind of Deformed Hermite Polynomials and Its Applications
Si Cong Jing, Wei Min Yang
A new kind of deformed calculus was introduced recently in studying of parabosonic coordinate representation. Based on this deformed calculus, a new deformation of Hermite polynomi…
Parabose Squeezed Operator and Its Applications
Wei Min Yang, Si Cong Jing
By virtue of the parabose squeezed operator, propagator of a parabose parametric amplifier, explicit form of parabose squeezed number states and normalization factors of excitation…
Deformed Legendre Polynomial and Its Application
Wei Min Yang, Hu Li, Si Cong Jing
A new kind of deformed calculus was introduced recently in studying of parabosonic coordinate representation. Based on this deformed calculus, a new deformation of Legendre polynom…