Abstract
Dae to the pioneering contributions of Kato-Kuroda [10], [11] and to the more recent works of Agmon [l] and Enss [6], a spectral and scattering theory for Schrodinger operators with short range potentials is now well established. An interesting example of a potential which does not belong to this class is the Wigner-von- Neumann [17] potential. This potential is the sum of a short range potential and of an oscillating one which is of the form,
where c = -8, b = 2 and α = β = 1.
Supported by NSF Grant MCS 79-02538-AOl
Supported by NSF Grant MCS 78-02199-A01
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© 1981 Plenum Press, New York
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Devinatz, A., Rejto, P. (1981). Schrödinger Operators with Oscillating Potentials. In: Gustafson, K.E., Reinhardt, W.P. (eds) Quantum Mechanics in Mathematics, Chemistry, and Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3258-9_5
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