Energy growth in Schrödinger's equation with Markovian forcing

DOI10.1007/s00220-003-0892-7zbMath1033.81023OpenAlexW2029509656MaRDI QIDQ1416912

Mehmet Burak Erdogan, Wilhelm Schlag, Rowan Killip

Publication date: 16 December 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/101965/

zbMATH Keywords

stationary Markov processone-dimensional torustime dependent potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (3)

Diffusion in the mean for a periodic Schrödinger equation perturbed by a fluctuating potential ⋮ Growth of Sobolev norms and controllability of the Schrödinger equation ⋮ Nonlinear Schrödinger equation with a white-noise potential: phase-space approach to spread and singularity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Some results on the quantum dynamics of a particle in a Markovian potential
• Applications of a commutation formula
• Transport properties of Markovian Anderson model
• On growth of Sobolev norms in linear Schrödinger equations with smooth time dependent potential
• Markovian Anderson model: Bounds for the rate of propagation
• Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential
• Markovian Anderson model

This page was built for publication: Energy growth in Schrödinger's equation with Markovian forcing