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5. References
Avron, J. E., Herbst, I. W.: Spectral and scattering theory for Schrödinger operators related to the Stark effect. Commun. Math. Phys. 52 (1977), 239–254.
Ben-Artzi, M.: Remarks on Schrödinger operators with an electric field and deterministic potentials. J. Math. Anal. Appl. 109 (1985), 333–339.
Ben-Artzi, M., Devinatz, A.: Resolvent estimates for a sum of tensor products with applications to the spectral theory of differential operators. J. Analyse Math. 43 (1983/84), 215–250.
Ben-Artzi, M., Devinatz, A.: The limiting absorption principle for partial differential operators. Preprint, 1985.
Herbst, I. W.: Unitary equivalence of Stark effect Hamiltonians. Math. Z. 155 (1977), 55–70.
Jensen, A.: Propagation estimates for Schrödinger-type operators. Trans. Amer. Math. Soc. 291 (1985), 129–144.
Jensen, A.: Asymptotic completeness for a new class of Stark effect Hamiltonians. Commun. Math. Phys., to appear.
Jensen, A.: Commutator methods and asymptotic completeness for one-dimensional Stark-effect Hamiltonians. Proc. Conf. Schrödinger Operators, Aarhus Univ., 1985. (E. Balslev, ed.). Springer Lecture Notes in Mathematics, to appear.
Jensen, A., Mourre, E., Perry, P.: Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Ann. Inst. H. Poincaré, Sect.A, 41 (1984), 207–224.
Perry, P.: Scattering theory by the Enss method. Math. Reports 1, part 1, 1983.
Simon, B.: Phase space analysis of simple scattering systems: Extensions of some work of Enss. Duke Math. J. 46 (1979), 119–168.
Yajima, K.: Spectral and scattering theory for Schrödinger operators with Stark-effect. J. Fac. Sci. Univ. Tokyo, Sect. IA, 26 (1979), 377–390.
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© 1987 Springer-Verlag
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Jensen, A. (1987). Commutator methods and asymptotic completeness for a new class of stark effect Hamiltonians. In: Knowles, I.W., Saitō, Y. (eds) Differential Equations and Mathematical Physics. Lecture Notes in Mathematics, vol 1285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080600
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DOI: https://doi.org/10.1007/BFb0080600
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