On the spectrum of the Schrödinger operator on 𝕋d: a normal form approach

DOI10.1080/03605302.2019.1670677zbMath1439.81036arXiv1903.09449OpenAlexW2977348960MaRDI QIDQ4960224

Dario Bambusi, Beatrice Langella, Riccardo Montalto

Publication date: 9 April 2020

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.09449

zbMATH Keywords

Schrödinger operatornormal formpseudo differential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Fractional partial differential equations (35R11)

Related Items (5)

A \(C^\infty\) Nekhoroshev theorem ⋮ Long-time stability of the quantum hydrodynamic system on irrational tori ⋮ Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori ⋮ Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori ⋮ On the stable eigenvalues of perturbed anharmonic oscillators in dimension two

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