The Schrödinger and Riccati equations

zbMath0947.34071MaRDI QIDQ1968574

Yanyan Li

Publication date: 21 March 2000

Published in: Lecture Notes in Chemistry (Search for Journal in Brave)

zbMATH Keywords

many-particle systemtransition probabilitiesinteraction representationgeneralized Dirac-Breit equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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Numerical solution of Riccati equations by the Adomian and asymptotic decomposition methods over extended domains ⋮ Asymptotic Decomposition Method for Fractional Order Riccati Differential Equation ⋮ Optimal Feedback for Stochastic Linear Quadratic Control and Backward Stochastic Riccati Equations in Infinite Dimensions ⋮ New further integrability cases for the Riccati equation ⋮ Error estimates for approximate solutions of the Riccati equation with real or complex potentials ⋮ On the new solutions to the fuzzy difference equation \(x_{n + 1} = A + \frac{B}{x_n}\) ⋮ Legendre wavelet operational matrix method for solution of Riccati differential equation

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