Distortion analyticity for two-body Schrödinger operators
Annales de l'I.H.P. Physique théorique, Volume 53 (1990) no. 2, p. 149-157
@article{AIHPA_1990__53_2_149_0,
author = {Nakamura, Shu},
title = {Distortion analyticity for two-body Schr\"odinger operators},
journal = {Annales de l'I.H.P. Physique th\'eorique},
publisher = {Gauthier-Villars},
volume = {53},
number = {2},
year = {1990},
pages = {149-157},
zbl = {0736.35026},
mrnumber = {1079776},
language = {en},
url = {http://www.numdam.org/item/AIHPA_1990__53_2_149_0}
}

Nakamura, S. Distortion analyticity for two-body Schrödinger operators. Annales de l'I.H.P. Physique théorique, Volume 53 (1990) no. 2, pp. 149-157. http://www.numdam.org/item/AIHPA_1990__53_2_149_0/

[1] F. Aguilar and J.M. Combes, On a Class of Analytic Perturbations of One-Body Schrödinger Operators, Commun. Math. Phys., 1971, Vol. 22, pp.269-279. | MR 345551 | Zbl 0219.47011

[2] D. Babbit and E. Balslev, Local Distortion Techniques and Unitarity of the S-Matrix for 2-Body Problem, J. Funct. Anal., 1975, Vol. 18, pp. 1-14. | MR 413860

[3] E. Balslev, Analyticity Properties of Eigenfunctions and Scattering Matrix, Commun. Math. Phys., 1988, Vol. 114, pp. 599-612. | MR 929132 | Zbl 0662.35079

[4] E. Balslev and J.M. Combes, Spectral Properties of Many-Body Schrödinger Operators with Dilation-Analytic Interactions, Commun. Math. Phys., 1971, Vol. 22, pp. 280- 299. | MR 345552 | Zbl 0219.47005

[5] E. Balslev and E. Skibsted, Resonance Theory for Two-Body Schrödinger Operators (to appear). | Numdam | MR 1033614 | Zbl 0714.35063

[6] J.M. Combes, P. Duclos, M. Klein and R. Seiler, The Shape Resonance, Commun. Math. Phys., 1987, Vol. 110, pp. 215-236. | MR 887996 | Zbl 0629.47044

[7] H.L. Cycon, Resonances Defined by Modified Dilations, Helv. Phys. Acta, 1989, Vol. 58, pp. 969-987. | MR 821113

[7] H.L. Cycon, R.G. Froese, W. Kirsch and B. Simon, Schrödinger Operators, with Applications to Quantum Mechanics and Global Geometry, Berlin, Springer-Verlag, 1987. | MR 883643 | Zbl 0619.47005

[9] B. Helffer and J. Sjöstrand, Resonances en limite semi-classique, Suppl. Bull. Soc. Math. France, 1986, Vol. 114. | Numdam | Zbl 0631.35075

[10] W. Hunziker, Distortion Analyticity and Molecular Resonance Curves, Ann. Inst. Henri Poincaré, 1986, Vol. 45, pp. 339-358. | Numdam | MR 880742 | Zbl 0619.46068

[11] K. Jorgens, Linear Integral Operators, London, Pitman, 1982. | MR 647629 | Zbl 0499.47029

[12] S. Nakamura, Shape Resonances for Distortion Analytic Schrödinger Operators, Commun. P.D.E., Vol. 14, 1989, pp. 1385-1419. | MR 1022991 | Zbl 0699.35204

[13] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vols. I-IV, New York, Academic Press, 1972-1979. | MR 493419

[14] I.M. Sigal, Complex Transformation Method and Resonances in One-Body Quantum Systems, Ann. Inst. Henri Poincaré, 1984, Vol. 41, pp. 103-114. | Numdam | MR 760129 | Zbl 0568.47008

[15] B. Simon, The Definition of Molecular Resonance Curves by the Method of Exterior Complex Scalong, Phys. Lett., 1979, Vol. 71A, pp.211-214.

[16] M. Taylor, Pseudodifferential Operators, New Jersey, Princeton Univ. Press, 1981. | Zbl 0453.47026

[17] P. Hislop and I.M. Sigal, Shape Resonances in Quantum Mechanics, Differential Equation and Mathematical Physics, I. KNOWLES and Y. SAITO Eds., Lect. Notes Math., 1987, Vol. 1285. | MR 921268 | Zbl 0653.46074