Supersymmetry and nonlinear filtering: operator perspective

Bhashyam Balaji

doi:10.1117/12.2050408

20 June 2014 Supersymmetry and nonlinear filtering: operator perspective

Bhashyam Balaji

Proceedings Volume 9091, Signal Processing, Sensor/Information Fusion, and Target Recognition XXIII; 90910J (2014) https://doi.org/10.1117/12.2050408
Event: SPIE Defense + Security, 2014, Baltimore, MD, United States

Abstract

Supersymmetry (SUSY), or Bose-Fermi symmetry, is an attempt to provide a unified description of all of the fundamental interactions. Although originally introduced in the quantum field theory context, it was noted by Witten that the understanding of certain features of SUSY was simpler in the quantum mechanical setting. Some aspects of the vast subject of supersymmetric quantum mechanics, and the supersymmetric Fokker-Planck equation, of relavance to continuous-time nonlinear filtering theory are briefly reviewed. The applicability of certain remarkable results in supersymmetric quantum mechanics to nonlinear filtering is noted and illustrated with a few examples.

Citation Download Citation

Bhashyam Balaji "Supersymmetry and nonlinear filtering: operator perspective", Proc. SPIE 9091, Signal Processing, Sensor/Information Fusion, and Target Recognition XXIII, 90910J (20 June 2014); https://doi.org/10.1117/12.2050408

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