1208.0258 (T. Koide et al.)
T. Koide, T. Kodama
The uncertainty relations in viscous dynamics and quantum dissipative processes were discussed within the scope of the stochastic variational method. We discussed how the momentum should be defined in these cases, and calculated relations corresponding to the Kennard inequality in quantum mechanics. We found that both of viscous dynamics and quantum dissipative processes have non-vanishing lower bound for the product of the mean-deviations of position and momentum. In particular, the Kostin equation was derived in SVM as quantized dissipative dynamics. It was found that its uncertainty relation differs from those obtained by another quantization theories of dissipative process by Kanai.
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http://arxiv.org/abs/1208.0258
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