50 citations · 101 across the 20 of their papers we have counts for
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quant-ph2017
Heisenberg equation for a nonrelativistic particle on a hypersurface: from the centripetal force to a curvature induced force
D. K. Lian, L. D. Hu, Q. H. Liu
In classical mechanics, a nonrelativistic particle constrained on an curved hypersurface embedded in flat space experiences the centripetal force only. In quantum mechani…
quant-ph2017★ 1 cited
Identification of Geometric Potential from Quantum Conditions for a Particle on a Curved Surface
D. K. Lian, L. D. Hu, Q. H. Liu
Combination of a construction of unambiguous quantum conditions out of the conventional one and a simultaneous quantization of the positions, momenta, angular momenta and Hamiltoni…
quant-ph2016★ 8 cited
Generalized Centripetal Force Law and Quantization of Motion Constrained on 2D Surfaces
Q. H. Liu
For a particle moves on a 2D surface f(x)=0 embedded in 3D Euclidean space, the geometric momentum and potential are simultaneously admissible within the Dirac canonical quantizati…