A Novel Method to Quantize Systems of Damped Motion and It’s Application to Nelson’s Quantum Mechanics

Ichiro Ohba
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Ichiro Ohba: Waseda University, Department of Physics, Advanced Research Center for Science and Engineering and Kagami Memorial Laboratory for Materials Science and Technology

A chapter in Symmetries in Science X, 1998, pp 325-336 from Springer

Abstract: Abstract First a novel method to quantize systems of damped motion is proposed in the frameworks of canonical quantization and path integral quantization. It can be afforded by considering a Lagrangian multiplied by a time-dependent function, which may represent an effective interaction with ‘environment’. Next, it is shown that this method can also be represented by the framework of the Nelson’s quantum mechanics.

Keywords: Uncertainty Principle; Schrodinger Equation; Canonical Quantization; Canonical Momentum; Equal Time Commutation (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-1537-5_19

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DOI: 10.1007/978-1-4899-1537-5_19

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