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تسجيل مستخدم جديدRegularization, dynamics and spectra of central forces with damping in 2-dimensions
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Two damped, central force systems are investigated and equivalent, undamped systems are obtained. The dynamics of a particle moving in $frac{1}{r}$ potential and subjected to a damping force is shown to be regularized a la Levi-Civita. This mapping is then elevated to the corresponding quantum mechanical systems and using it, the energy spectrum of the former is calculated. Mapping of a particle moving in a harmonic potential subjected to damping to an undamped system is then derived using Bohlin-Sudman transformation, for both classical and quantum regime.
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