Abstract
A consistent quantization procedure for a dissipative system is introduced. To this end Hamilton's least action principle compatible with initial value problems is exploited to obtain the Hamiltonian for the dissipative systems. The derivation of the Schrodinger equation for the dissipative system is presented. The canonical quantization method introduced is simple as well as general for linear damping. The canonical quantization procedure is employed to quantize the damped harmonic oscillator.
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