Classical and quantum scattering for Stark hamiltonians with slowly decaying potentials
Annales de l'I.H.P. Physique théorique, Tome 54 (1991) no. 3, pp. 229-243.
@article{AIHPA_1991__54_3_229_0,
     author = {Jensen, Arne and Ozawa, Tohru},
     title = {Classical and quantum scattering for {Stark} hamiltonians with slowly decaying potentials},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {229--243},
     publisher = {Gauthier-Villars},
     volume = {54},
     number = {3},
     year = {1991},
     mrnumber = {1122654},
     zbl = {0768.47002},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1991__54_3_229_0/}
}
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Jensen, Arne; Ozawa, Tohru. Classical and quantum scattering for Stark hamiltonians with slowly decaying potentials. Annales de l'I.H.P. Physique théorique, Tome 54 (1991) no. 3, pp. 229-243. http://www.numdam.org/item/AIHPA_1991__54_3_229_0/

[1] J.E. Avron and I.W. Herbst, Spectral and Scattering Theory for the Schrôdinger Operators Related to the Stark Effect, Commun. Math. Phys., Vol. 52, 1977, pp. 239-254. | MR | Zbl

[2] I.W. Herbst, Unitary Equivalence of Stark Effect Hamiltonians, Math. Z., Vol. 155, 1977, pp. 55-70. | MR | Zbl

[3] A. Jensen, Asymptotic Completeness for a New Class of Stark Effect Hamiltonians, Commun. Math. Phys., Vol. 107, 1986, pp. 21-28. | MR | Zbl

[4] A. Jensen, Commutator Methods and Asymptotic Completeness for One-Dimensional Stark Effect Hamiltonians, pp. 151-166 in Schrödinger Operators, Aarhus, 1985, E. BALSLEV Ed., Springer Lect. Notes Math., No. 1218, 1986. | MR | Zbl

[5] A. Jensen, Scattering Theory for Hamiltonians with Stark Effect, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 46, 1987, pp. 383-395. | Numdam | MR | Zbl

[6] A. Jensen and K. Yajima, preprint, 1990.

[7] T. Kato, Perturbation Theory for Linear Operators, second edition, Springer-Verlag, Heidelberg, 1976. | MR | Zbl

[8] H. Kitada and K. Yajima, A Scattering Theory for Time-Dependent Long-Range Potentials, Duke Math. J., Vol. 42, 1982, pp. 341-376. | MR | Zbl

[9] M. Loss and B. Thaller, Scattering of Particles by Long-Range Magnetic Fields, Ann. Phys. (N. Y.), Vol. 176, 1987, pp. 159-180. | MR | Zbl

[10] T. Ozawa, Non-Existence of Wave Operators for Stark Effect Hamiltonians, preprint, 1989, Math. Z. (to appear).

[11] M. Reed and B. Simon, Methods of Modern Mathematical Physics. Vol. 3, Scattering Theory, Academic Press, New York, 1979. | MR | Zbl

[12] B. Simon, Phase Space Analysis of Simple Scattering Systems. Extensions of Some Work of Enss, Duke Math. J., Vol. 46, 1979, pp. 119-168. | MR | Zbl

[13] K Veselić and J. Weidmann, Potential Scattering in a Homogeneous Electrostatic Field, Math. Z., Vol. 156, 1977, pp. 93-104. | MR | Zbl

[14] D. White, The Stark effect and long range scattering in two Hilbert spaces, preprint, 1990. | MR | Zbl

[15] K. Yajima, Spectral and Scattering Theory for Schrôdinger Operators with Stark Effect, J. Fac. Sci. Univ. Tokyo, Sect IA, Vol. 26, 1979, pp. 377-390. | MR | Zbl