Abstract
In this work we describe some results on the spectral theory of the Schrödinger operator H = −Δ + V acting on L 2(R n), where V is a bounded real-valued function of class C l on R n \ {0} with n ≥ 2 that satisfies
We obtain at high energies the limiting absorption principle in the framework of Besov spaces, existence and uniqueness of the generalized eigenfunctions, and an eigenfunction expansion for H.
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© 1992 Springer-Verlag Berlin Heidelberg
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Cruz-Sampedro, J. (1992). Spectral Theory of Schrödinger Operators with Very Long Range Potentials. In: Balslev, E. (eds) Schrödinger Operators The Quantum Mechanical Many-Body Problem. Lecture Notes in Physics, vol 403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55490-4_3
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DOI: https://doi.org/10.1007/3-540-55490-4_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-13888-5
Online ISBN: 978-3-540-47107-3
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