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Multidimensional Periodic Schrödinger Operator Perturbation Theories for High Energy Regions and Their Applications /

This book describes the direct and inverse problems of the multidimensional Schrödinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalu...

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Bibliografiske detaljer
Hovedforfatter: Veliev, Oktay (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer International Publishing : Imprint: Springer, 2024.
Udgivelse:3rd ed. 2024.
Serier:Springer Tracts in Modern Physics, 291
Fag:
Quantum physics.
Operator theory.
Differential equations.
Condensed matter.
Mathematical physics.
Quantum Physics.
Operator Theory.
Differential Equations.
Condensed Matter Physics.
Mathematical Physics.
Online adgang:https://doi.org/10.1007/978-3-031-49035-4
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Indholdsfortegnelse:
  • Preliminary Facts
  • From One-dimensional to Multidimensional
  • Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions
  • Constructive Determination of the Spectral Invariants
  • Periodic Potential from the Spectral Invariants
  • Conclusions and Some Generalization.

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