56 citations · 120 across the 7 of their papers we have counts for
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quant-ph2012★ 7 cited
On relation between geometric momentum and annihilation operators on a two-dimensional sphere
Q. H. Liu, Y. Shen, D. M. Xun +1
With a recently introduced geometric momentum that depends on the extrinsic curvature and offers a proper description of momentum on two-dimensional sphere, we show that the annihi…
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…