Abstract
Let Lo be a minimal operator in L2(0,∞) generated by\(1=-\frac{{{d}^{2}}}{d{{t}^{2}}}+q\)where q is a real potential with a non-integrable singularity at t = 0. For various classes of potentials we present an explicit description of all self-adjoint extensions. The multi-dimensional case is also considered.
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© 1990 Birkhäuser Verlag Basel
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Kochubei, A.N. (1990). Self-Adjoint Extensions of Schroedinger Operators with Singular Potentials. In: Exner, P., Neidhardt, H. (eds) Order,Disorder and Chaos in Quantum Systems. Operator Theory: Advances and Applications, vol 46. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7306-2_23
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DOI: https://doi.org/10.1007/978-3-0348-7306-2_23
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7308-6
Online ISBN: 978-3-0348-7306-2
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