Schrödinger Operators and Canonical Systems

Christian Remling ()
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Christian Remling: Mathematics Department, University of Oklahoma

Chapter 26 in Operator Theory, 2015, pp 623-630 from Springer

Abstract: Abstract This paper discusses the inverse spectral theory of Schrödinger equations from the point of view of canonical systems and de Branges’s theory of Hilbert spaces of entire functions. The basic idea is to view Schrödinger equations as special canonical systems. For canonical systems, a complete inverse spectral theory is available: there is a one-to-one correspondence between the coefficient functions, on the one hand, and suitable spectral data, on the other hand. The task then is to identify those subclasses that correspond to Schrödinger equations.

Keywords: Hilbert Space; Entire Function; Dirichlet Boundary Condition; Canonical System; Inverse Spectral Problem (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0667-1_10

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DOI: 10.1007/978-3-0348-0667-1_10

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