symmetric Schrödinger operators: reality of the perturbed eigenvalues.
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Caliceti, Emanuela, Cannata, Francesco, Graffi, Sandro (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
P. Duclos, P. Šťovíček, M. Vittot (1999)
Annales de l'I.H.P. Physique théorique
Mauricio D. Garay (2009)
Annales de l’institut Fourier
We prove a analytic versal deformation theorem in the Heisenberg algebra. We define the spectrum of an element in the Heisenberg algebra. The quantised version of the Morse lemma already shows that the perturbation series arising in a perturbed harmonic oscillator become analytic after a formal Borel transform.
Militello, Benedetto, Aniello, Paolo, Messina, Antonino (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
J. Sjöstrand (1983/1984)
Séminaire Équations aux dérivées partielles (Polytechnique)
Xue Ping Wang (1985)
Annales de l'I.H.P. Physique théorique
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