Journal of Hunan University
A Note on the Quantum Constraint Systems
Xiao Yan-ping
Abstract
For a constraint system, the quantum kinetic energy operator T=-~2/(2μ)~2 can not be rewritten in terms of T=-~2/(2μ)∑P~2_i, but takes the form T=1/(2μ)∑P_if_i(x,y,z)P_i, where f_i(x,y,z)(i=x,y,z) are non-trivial functions of Cartesian x,y,z.