On the Quantizations of the Damped Systems

Details On the Quantizations of the Damped Systems On the Quantizations of the Damped Systems

1993-03-24

arxiv.org/abs/hep-th/9303137v1

Mod. Phys. Lett. A8 (1993) 2037-2044

Physics

High Energy Physics

High Energy Physics - Theory

12pages, Plain Tex file, RU-93-20-B

Scientific paper

Based on a simple observation that a classical second order differential equation may be decomposed into a set of two first order equations, we introduce a Hamiltonian framework to quantize the damped systems. In particular, we analyze the system of a linear damped harmonic oscillator and demonstrate that the time evolution of the Schr\"odinger equation is unambiguously determined.

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