Spectral Properties of Adiabatically Perturbed Differential Operators with the Periodic Coefficients

  • V. S. Buslaev
Part of the Mathematical Physics Studies book series (MPST, volume 12)


We describe the asymptotic structure of the spectrum and the asymptotic behavior of the eigenfunctions of the operators
$$Hz = - {z_{xx}} + p(x)z + v(\varepsilon x)z, $$
p is periodic, 0 ‹ ε “ 1.


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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • V. S. Buslaev
    • 1
  1. 1.Institute of PhysicsLeningrad UniversityLeningradUSSR

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