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

When the motion of a particle is constrained, an excess term exists using hermitian form of Cartesian momentum pi (i=1,2,3) in usual kinetic energy (1/2μ) Σ pi2, and the correct kinetic energy turns out to be (1/2μ) Σ (1/fi)pifipi, where the fi are dummy factors in classical mechanics and nontrivial in quantum mechanics. In this paper the explicit form of the dummy functions fi is given for a charged rigid planar rotator in the uniform magnetic field.