56 citations · 120 across the 7 of their papers we have counts for
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math-ph2012★ 30 cited
Quantum motion on a torus as a submanifold problem in a generalized Dirac's theory of second-class constraints
D. M. Xun, Q. H. Liu, X. M. Zhu
A generalization of the Dirac's canonical quantization theory for a system with second-class constraints is proposed as the fundamental commutation relations that are constituted b…
math-ph2012
Geometric momentum in the Monge parametrization of two dimensional sphere
D. M. Xun, Q. H. Liu
A two dimensional surface can be considered as three dimensional shell whose thickness is negligible in comparison with the dimension of the whole system. The quantum mechanics on…
math-ph2010
A simple realization of gl(2,c) Lie algebra with vector operators on sphere
Q. H. Liu, X. P. Rong, D. M. Xun
By utilization of three elementary vector operators as position, angular momentum and their cross product, a simple realization of gl(2,c) Lie algebra on sphere are constructed. Th…