Some remarks on quantum physics, stochastic processes, and nonlinear filtering theory

Bhashyam Balaji

doi:10.1117/12.2228385

17 May 2016 Some remarks on quantum physics, stochastic processes, and nonlinear filtering theory

Bhashyam Balaji

Proceedings Volume 9842, Signal Processing, Sensor/Information Fusion, and Target Recognition XXV; 98420J (2016) https://doi.org/10.1117/12.2228385
Event: SPIE Defense + Security, 2016, Baltimore, MD, United States

Abstract

The mathematical similarities between quantum mechanics and stochastic processes has been studied in the literature. Some of the major results are reviewed, such as the relationship between the Fokker-Planck equation and the Schrödinger equation. Also reviewed are more recent results that show the mathematical similarities between quantum many particle systems and concepts in other areas of applied science, such as stochastic Petri nets. Some connections to filtering theory are discussed.

Citation Download Citation

Bhashyam Balaji "Some remarks on quantum physics, stochastic processes, and nonlinear filtering theory", Proc. SPIE 9842, Signal Processing, Sensor/Information Fusion, and Target Recognition XXV, 98420J (17 May 2016); https://doi.org/10.1117/12.2228385

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