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Perturbations of the Schrödinger equation by potentials with small support. (English) Zbl 0235.35009


MSC:

35B20 Perturbations in context of PDEs
35J10 Schrödinger operator, Schrödinger equation
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References:

[1] Faris, W., The product formula for semigroups defined by Friedrichs extensions, Pacific J. Math., 22, No. 1, 47-70 (1967) · Zbl 0158.14802
[2] Friedman, C., Perturbations of the Schroedinger equation by potentials with small support, semigroup product formulas, and applications to quantum mechanics, (Ph.D. dissertation (May, 1971), Princeton University)
[3] Kato, T., Perturbation Theory for Linear Operators (1966), Springer-Verlag: Springer-Verlag New York · Zbl 0148.12601
[4] Landau, L. D.; Lifshitz, E. M., Quantum Mechanics (1965), Addison-Wesley: Addison-Wesley Reading, MA, Palo-Alto, London · Zbl 0178.57901
[5] Nirenberg, L., On elliptic partial differential equations, Ann. Scuola Norm. Sup. Pisa, 13, 1-48 (1959)
[6] Trotter, H. F., Approximation of semi-groups of operators, Pacific J. Math., 8, 887-919 (1958) · Zbl 0099.10302
[7] Yosida, K., Functional Analysis (1968), Springer-Verlag: Springer-Verlag New York · Zbl 0152.32102
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