Schrödinger equation with Gaussian potential

DOI10.1090/tpms/1066zbMath1488.60084OpenAlexW2969876462MaRDI QIDQ5230212

Yaozhong Hu

Publication date: 21 August 2019

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/1066

zbMATH Keywords

Schrödinger equationPoisson equationchaos expansionmultiplicative noisefractional Gaussian noisefractional Brownian fielddistribution spaces

Mathematics Subject Classification ID

Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

Some recent progress on stochastic heat equations

Cites Work

• Pathwise definition of second-order SDEs
• Stochastic heat equation with rough dependence in space
• Stochastic heat equation driven by fractional noise and local time
• Wick calculus for nonlinear Gaussian functionals
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• Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency
• Analysis on Gaussian Spaces
• Integral transformations and anticipative calculus for fractional Brownian motions
• General Fractional Multiparameter White Noise Theory and Stochastic Partial Differential Equations
• The Malliavin Calculus and Related Topics
• A FRACTIONAL POISSON EQUATION: EXISTENCE, REGULARITY AND APPROXIMATIONS OF THE SOLUTION
• From Brownian Motion to Schrödinger’s Equation
• Stochastic Calculus for Fractional Brownian Motion and Applications
• Inequalities for the moments of Wiener integrals with respect to a fractional Brownian motion
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