A Secondary Operator Ordering Problem for a Charged Rigid Planar Rotator in Uniform Magnetic Field
Yanping Xiao, Meimei Lai, Ji-Xuan Hou +2 more
When the motion of a particle is constrained, an excess term exists using hermitian form of Cartesian momentum p i ( i =1,2,3) in usual kinetic energy (1/2μ) ∑ p i 2 , and the correct kinetic energy turns out to be (1/2μ) ∑ (1/ f i ) p i f i p i , where the f i are dummy factors in classical mechanics and nontrivial in quantum mechanics. In this paper the explicit form of the dummy functions f i is given for a charged rigid planar rotator in the uniform magnetic field.
Communications in Theoretical Physics•Jul 1, 2005•8 citations