KAM for the quantum harmonic oscillator

DOI10.1007/s00220-011-1327-5zbMath1250.81033arXiv1003.2793OpenAlexW2051499908MaRDI QIDQ644758

Benoît Grébert, Laurent Thomann

Publication date: 7 November 2011

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

Full work available at URL: https://arxiv.org/abs/1003.2793

zbMATH Keywords

Hamiltonian PDEKAM theoremquantum harmonic oscillator

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) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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