18 citations · 40 across the 3 of their papers we have counts for
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math-ph2009★ 15 cited
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…
math-ph2009★ 18 cited
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…
math-ph2009★ 7 cited
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…