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Alternative approach to the quantization of the damped harmonic oscillator

Alternative approach to the quantization of the damped harmonic oscillator

In this paper, an alternative approach for constructing Lagrangians for driven and undriven linearly damped systems is proposed, by introducing a redefined time coordinate and an associated coordinate transformation to ensure that the resulting Lagrangian satisfies the Helmholtz conditions. The approach is applied to canonically quantize the damped harmonic oscillator …