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Direct Quantization of Open Dissipative Systems

Jose A. Magpantay
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Abstract

Open, dissipative systems subject to a random force are directly quantized. The starting point is the effective action derived using the method of Parisi-Sourlas. Since the effective action is second-order, the method of Ostrogradsky was used to quantize the system canonically. In the case of the harmonic oscillator, the relevant Green function can be computed exactly. In the general case, a perturbation expansion, involving time-dependent (memory) terms, can be defined.

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Jose A. Magpantay. 2001-01-08. Direct Quantization of Open Dissipative Systems. https://arxiv.org/abs/cond-mat/0101084

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