A construction of the fundamental solution of the Schrödinger equation with a perturbed quadratic Hamiltonian

DOI10.1088/0951-7715/29/2/566zbMath1337.35003OpenAlexW2518533534MaRDI QIDQ2794863

Romain Duboscq

Publication date: 11 March 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6a56e9b8d92ca422e454dfbedd1de5f257f65508

zbMATH Keywords

Strichartz estimatesAvron-Herbst formulabicharacteristics methodperturbative noise

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fundamental solutions to PDEs (35A08) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) PDEs with randomness, stochastic partial differential equations (35R60) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Fluctuations and temperature effects in bose-einstein condensation ⋮ Existence and uniqueness of classical paths under quadratic potentials

This page was built for publication: A construction of the fundamental solution of the Schrödinger equation with a perturbed quadratic Hamiltonian