50 citations · 101 across the 20 of their papers we have counts for
4 papers · 1 filter
Curvature-induced noncommutativity of two different components of momentum for a particle on a hypersurface
Q. H. Liu, X. Yang, Z. Li
As a nonrelativistic particle constrained to remain on an () dimensional hypersurface embedded in an dimensional Euclidean space, two different components $p_{i}…
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…
Geometric Potential Resulting from Dirac Quantization
D. K. Lian, L. D. Hu, Q. H. Liu
A fundamental problem regarding the Dirac quantization of a free particle on an curved hypersurface embedded in () flat space is the impossibility to give the same…
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…