Normal forms for semilinear quantum harmonic oscillators
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Publication:1048113
DOI10.1007/s00220-009-0800-xzbMath1185.81073arXiv0808.0995OpenAlexW3101685809MaRDI QIDQ1048113
Benoît Grébert, Rafik Imekraz, Eric Paturel
Publication date: 11 January 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0808.0995
Birkhoff normal formHamiltonian PDEslong time stabilityBirkhoff normal form in infinite dimensionsemilinear harmonic oscillator
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
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