Multiple commutator estimates and resolvent smoothness in quantum scattering theory
Annales de l'I.H.P. Physique théorique, Volume 41 (1984) no. 2, p. 207-225
@article{AIHPA_1984__41_2_207_0,
     author = {Jensen, Arne and Mourre, \'Eric and Perry, Peter},
     title = {Multiple commutator estimates and resolvent smoothness in quantum scattering theory},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {41},
     number = {2},
     year = {1984},
     pages = {207-225},
     zbl = {0561.47007},
     mrnumber = {769156},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1984__41_2_207_0}
}
Jensen, Arne; Mourre, Éric; Perry, Peter. Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Annales de l'I.H.P. Physique théorique, Volume 41 (1984) no. 2, pp. 207-225. http://www.numdam.org/item/AIHPA_1984__41_2_207_0/

[1] S. Agmon, Some new results in spectral and scattering theory of differential operators on L2(Rn). Séminaire Goulaouic-Schwartz, 1978/1979. Exp. No. 2, École Polytech., Palaiseau, 1979. | Numdam | MR 557513 | Zbl 0406.35052

[2] J. Aguilar, J.M. Combes, Comm. Math. Phys., t. 22, 1971, p. 269-279. | MR 345551 | Zbl 0219.47011

[3] E. Balslev, J.M. Combes, Comm. Math. Phys., t. 22, 1971, p. 280-294. | MR 345552 | Zbl 0219.47005

[4] J.D. Dollard, J. Math. Phys., t. 5, 1964, p. 729-738. | MR 163620

[5] V. Enss, Ann. Phys. (N. Y.), t. 119, 1979, p. 117-132. Addendum, Preprint, Bielefeld, 1979. | MR 535624

[6] L. Hormander, Math. Z., t. 146, 1976, p. 69-91. | MR 393884 | Zbl 0319.35059

[7] T. Ikebe, J. Funct. Anal., t. 20, 1975, p. 158-177. | Zbl 0315.35067

[8] T. Ikebe, Publ. Res. Inst. Math. Sci., t. 11, 1976, p. 551-558. | MR 440213 | Zbl 0345.35032

[9] T. Ikebe, H. Isozaki, Publ. Res. Inst. Math. Sci., t. 15, 1979, p. 679-718. | MR 566076 | Zbl 0432.35061

[10] T. Ikebe, H. Isozaki, Integral Equations Operator Theory, t. 5, 1982, p. 18-49. | MR 646878

[11] H. Isozaki, Publ. Res. Inst. Math. Sci., t. 13, 1977, p. 589-626. | MR 479087 | Zbl 0435.47011

[12] H. Isozaki, H. Kitada, Private Communication.

[13] A. Jensen, T. Kato, Duke Math. J., t. 46, 1979, p. 583-611. | MR 544248 | Zbl 0448.35080

[14] A. Jensen, Comm. Math. Phys., t. 82, 1981, p. 435-456. | MR 641772 | Zbl 0483.47031

[15] A. Jensen, Lett. Math. Phys., t. 7, 1983, p. 137-143. | MR 708436 | Zbl 0517.47010

[16] T. Kato, Math. Ann., t. 162, 1966, p. 258-279. | MR 190801 | Zbl 0139.31203

[17] T. Kato, Studia Math., t. 31, 1968, p. 535-546. | MR 234314 | Zbl 0215.48802

[18] H. Kitada, Proc. Japan Acad. Ser. A Math. Sci., t. 52, 1976, p. 409-412. | MR 422911 | Zbl 0358.35024

[19] H. Kitada, J. Math. Soc. Japan, t. 29, 1977, p. 665-691. | MR 634802 | Zbl 0356.47006

[20] H. Kitada, J. Math. Soc. Japan, t. 30, 1978, p. 603-632. | MR 634803 | Zbl 0388.35055

[21] R. Lavine, Comm. Math. Phys., t. 20, 1971, p. 301-323. | MR 293945 | Zbl 0207.13706

[22] R. Lavine, J. Math. Phys., t. 14, 1973, p. 376-379. | Zbl 0269.47005

[23] E. Mourre, Comm. Math. Phys., t. 68, 1979, p. 91-94. | MR 539739 | Zbl 0429.47006

[24] E. Mourre, Comm. Math. Phys., t. 78, 1981, p. 391-408. | MR 603501 | Zbl 0489.47010

[25] E. Mourre, Algebraic approach to some propagation properties of the Schrödinger equation. In: Mathematical Problems of Theoretical Physics, ed. R. Schrader, R. Seiler, P. A. Uhlenbrock. Lecture Notes in Physics, No. 153, Springer Verlag, Berlin, etc., 1981.

[26] E. Mourre, Comm. Math. Phys., t. 91, 1983, p. 279-300. | MR 723552 | Zbl 0543.47041

[27] E. Mourre, Preprint, CPT-CNRS, Marseille, 1982.

[28] P.L. Muthuramalingam, K.B. Sinha, Preprint, Indian Statistical Institute, 1983.

[29] P. Perry, Comm. Math. Phys., t. 81, 1981, p. 243-259. | MR 632760 | Zbl 0471.47007

[30] P. Perry, I. Sigal, B. Simon, Ann. Math., t. 114, 1981, p. 519-567. | MR 634428 | Zbl 0477.35069

[31] C.R. Putnam, Commutation Properties of Hilbert Space Operators and Related Topics. Springer Verlag, Berlin, etc., 1967. | MR 217618 | Zbl 0149.35104

[32] M. Reed, B. Simon, Methods of Modern Mathematical Physics. III. Scattering Theory. Academic Press, New York, 1979. | MR 529429 | Zbl 0405.47007

[33] Y. Saito, Osaka J. Math., t. 14, 1979, p. 37-53. | MR 442505 | Zbl 0356.35020

[34] Y. Saito, Spectral representations for Schrödinger operators with long-range potentials. Lecture Notes in Mathematics, Vol. 727, Springer Verlag, Berlin, etc., 1979. | MR 540891 | Zbl 0414.47012