A Secondary Operator Ordering Problem for a Charged Rigid PlanarRotator in Uniform Magnetic Field

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_i², and the correct kinetic energy turns outto be (1/2μ)∑(1/f_i)p_if_ip_i, where the f_i are dummyfactors in classical mechanics and nontrivial in quantum mechanics. In thispaper the explicit form of the dummy functions f_i is given for acharged rigid planar rotator in the uniform magnetic field.