Lobachevskii Journal of Mathematics

, Volume 34, Issue 1, pp 45–60 | Cite as

Generalized spectrum approximation and numerical computation of eigenvalues for Schrödinger’s operators

Article

Abstract

We show that the spectrum of a Schrödinger’s operator is equal to the generalized spectrum of two bounded operators. Using an approximation method of integral operator, based on regularization by convolution and Fourier series, we approach perfectly the spectrum of the harmonic oscillator.

Keywords and phrases

Spectrum Generalized spectrum Pseudospectrum Shrödinger’s operator Integral operator Convolution Fourier series 

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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques Appliquées et de Modélisation, Faculté de Mathématiques et de l’Informatique et des Sciences de la MatiéreUniversité 8 Mai 1945 GuelmaGuelmaAlgérie
  2. 2.Institut Camille Jordan, UMR5208Université de LyonLyonFrance

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