Title
Schrödinger equation with quartic potential and nonlinear filtering problem
Abstract
The celebrated work of Yau and Yau solved the nonlinear filtering problem in theory in the following manner. They reduced the problem of solving the Duncan-Mortensen-Zakai equation in real-time to the off-time solution of a Kolmogorov type equation. For the Yau filtering system, this Kolmogorov equation can be transformed as the Schrodinger equation. In this paper, we shall describe the fundamental solution of this Schrodinger equation with quartic potential.
Year
DOI
Venue
2009
10.1109/CDC.2009.5400128
CDC
Keywords
Field
DocType
kolmogorov type equation,duncan mortensen zakai equation,schrodinger equation,nonlinear filtering problem,off time solution,quartic potential,yau filtering system,nonlinear filters,algebra,probability density function,real time systems,fundamental solution,mathematical model,polynomials,data mining,nonlinear filter,real time
Fokker–Planck equation,Mathematical optimization,Equation solving,Polynomial,Schrödinger equation,Filter (signal processing),Quartic function,Fundamental solution,Probability density function,Mathematics
Conference
ISSN
ISBN
Citations 
0191-2216 E-ISBN : 978-1-4244-3872-3
978-1-4244-3872-3
0
PageRank 
References 
Authors
0.34
4
3
Name
Order
Citations
PageRank
Der-Chen Chang102.70
Stephen S Yau21768193.24
Ke-Pao Lin300.34