Coherent state and the damped harmonic oscillator
Gautam Kumar Ghosh, Rainer W. Hasse · Physical Review A · 1981
Although the method of dual coordinates has been employed in the literature to quantize the damped harmonic oscillator, one cannot reproduce the proper classical limit by this method. This is shown by constructing operators which have the correct damped behavior and obtaining coherent states as their eigenstates. These states turn out to be nonnormalizable; this is shown to be due to the unphysical nature of the Hamiltonian employed in the method of dual coordinates.