Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Xun, D. M."'
Autor:
Xun, D. M., Liu, Q. H.
Publikováno v:
Annals of Physics 341 (2014) 132
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 the Cartesian coordinate system has fundamental importance in passing
Externí odkaz:
http://arxiv.org/abs/1303.0909
Publikováno v:
Ann. Phys. 338(2013)123
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 by all commutators between positions, momenta and Hamiltonian so they a
Externí odkaz:
http://arxiv.org/abs/1212.6373
Publikováno v:
International Journal of Geometric Methods in Modern Physics,Vol. 10, No. 6 (2013) 1320007
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 annihilation operators whose eigenstates are coherent states on the sphere t
Externí odkaz:
http://arxiv.org/abs/1212.4897
Autor:
Xun, D. M., Liu, Q. H.
Publikováno v:
International Journal of Geometric Methods in Modern Physics, v10 n3 (March, 2013)
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 surface can be first formulated in the bulk and the limit of vanishing
Externí odkaz:
http://arxiv.org/abs/1209.2212
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 that are fundamental in construction of both the quantum momentum and
Externí odkaz:
http://arxiv.org/abs/1109.5223
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. The coherent states based on this algebra can then be constructed by sta
Externí odkaz:
http://arxiv.org/abs/1001.5163
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 magnetic quantum number m, specific states |lm> in spherical harmonic
Externí odkaz:
http://arxiv.org/abs/0912.5146
Publikováno v:
International Journal of Theoretical Physics. Sep2010, Vol. 49 Issue 9, p2164-2171. 8p.
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