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Über die Selbstadjungiertheit von Schrödinger-Operatoren. (German) Zbl 0363.47015

MSC:
47B25 Linear symmetric and selfadjoint operators (unbounded)
47F05 General theory of partial differential operators (should also be assigned at least one other classification number in Section 47-XX)
35J10 Schrödinger operator, Schrödinger equation
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References:
[1] Simader, C.G.: Bemerkungen über Schrödinger-Operatoren mit stark singulären Potentialen. Math. Z.138, 53-70 (1974) · Zbl 0317.35028 · doi:10.1007/BF01221884
[2] Agmon, S.: Lectures on elliptic boundary value problems. New York-London: Van Nostrand 1965 · Zbl 0142.37401
[3] Yosida, K.: Functional Analysis. Grundlehren der mathematischen Wissenschaften Bd. 123. Berlin-Heidelberg-New York: Springer 1965
[4] Kalf, H.: Self-Adjointness for Strongly Singular Potentials with a ?|x|2 Fall-Off at Infinity. Math. Z.133, 249-255 (1973) · Zbl 0266.35018 · doi:10.1007/BF01238041
[5] Simon, B.: Essential Self-Adjointness of Schrödinger Operators with Positive Potentials. Math. Ann.201, 211-220 (1973) · Zbl 0234.47027 · doi:10.1007/BF01427943
[6] Kalf, H., Walter, J.: Strongly Singular Potentials and Essential Self-Adjointness of Singular Elliptic Operators inC 0 ? (R n ?\(\cdot\)0}). J. Functional Analysis10, 114-130 (1972) · Zbl 0229.35041 · doi:10.1016/0022-1236(72)90059-6
[7] Sohr, H.: Zur Störungstheorie linearer Operatoren im Hilbertraum. Habilitationsschrift, Universität Tübingen 1975
[8] Kato, T.: Perturbation theory for linear operators. Grundlehren der mathematischen Wissenschaften Bd. 132. Berlin-Heidelberg-New York: Springer 1966
[9] Helms, L.L.: Introduction to Potential Theory. New York-London: Wiley-Interscience 1969 · Zbl 0188.17203
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