56 citations · 120 across the 7 of their papers we have counts for
4 papers · 1 filter
Can the canonical quantization be accomplished within the intrinsic geometry?
D. M. Xun, Q. H. Liu
For particles constrained on a curved surface, how to perform quantization within Dirac's canonical quantization scheme is a long-standing problem. On one hand, Dirac stressed that…
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…
Geometric Momentum: the Proper Momentum for a Free Particle on a Two-dimensional Sphere
Q. H. Liu, L. H. Tang, D. M. Xun
In Dirac's canonical quantization theory on systems with second-class constraints, the commutators between the position, momentum and Hamiltonian form a set of algebraic relations…
Raising and lowering operators for angular momentum quantum numbers l in spherical harmonics
Q. H. Liu, D. M. Xun, L. Shan
Two vector operators aimed at shifting angular momentum quantum number l in spherical harmonics |lm>, primarily proposed by Prof. X. L. Ka in 2001, are further studied. For a given…