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Unitary equivalence of Stark Hamiltonians. (English) Zbl 0338.47009


MSC:

47A40 Scattering theory of linear operators
35J10 Schrödinger operator, Schrödinger equation

References:

[1] Avron, J., Herbst, I.: Spectral and scattering theory of Schrödinger operators related to the Stark effect. Commun. math. Phys. (To appear) · Zbl 0351.47007
[2] Agmon, S.: Spectral properties of Schrödinger operators. In: Actes du Congres International des Mathematicians. (Nice 1970) Part II, pp. 679-684. Paris: Gauthier-Villars 1971 · Zbl 0228.47031
[3] Agmon, S.: Spectral properties of Schrödinger operators and scattering theory. Ann. Sc. norm. super. Pisa, Cl. sci., IV. Ser.2, 151-218 (1975) · Zbl 0315.47007
[4] Kato, T.: Wave operators and similarity for some nonselfadjoint operators. Math. Ann.162, 258-279 (1966) · Zbl 0139.31203 · doi:10.1007/BF01360915
[5] Kato, T.: Smooth operators and commutators. Studia math.31, 535-546 (1968) · Zbl 0215.48802
[6] Kato, T., Kuroda, S. T.: Theory of simple scattering and eigenfunction expansions. In: Functional Analysis and Related Fields. (Chicago 1968) pp. 99-131. Berlin-Heidelberg-New York: Springer 1970 · Zbl 0224.47004
[7] Kuroda, S.: On the Hölder continuity of an integral involving Bessel functions. Quart. J. Math. Oxford, II. Ser.21, 71-81 (1970) · Zbl 0191.34902 · doi:10.1093/qmath/21.1.71
[8] Lavine: Commutators and scattering theory II. A class of one body problems. Indiana Univ. Math. J.21, 643-656 (1972). Correction:22, 401 (1972) · Zbl 0216.38501 · doi:10.1512/iumj.1972.21.21050
[9] Reed, M., Simon, B.: Methods of Modern Mathematical Physics. Vol. 3. New York-London: Academic Press (To appear) · Zbl 0401.47001
[10] Abramowitz, M., Stegun, I.: Airy Functions and Numerical Methods. In: Handbook of Mathematical Functions. pp. 446-455. New York: Dover 1965
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