Charged particles with short range interactions
Albeverio, S. ; Gesztesy, F. ; Høegh-Krohn, R. ; Streit, L.
Annales de l'I.H.P. Physique théorique, Tome 39 (1983), p. 263-293 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1983-01-01
@article{AIHPA_1983__38_3_263_0,
     author = {Albeverio, Sergio and Gesztesy, F. and H\o egh-Krohn, Raphael and Streit, L.},
     title = {Charged particles with short range interactions},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {39},
     year = {1983},
     pages = {263-293},
     mrnumber = {708965},
     zbl = {0555.35111},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1983__38_3_263_0}
}

Albeverio, S.; Gesztesy, F.; Høegh-Krohn, R.; Streit, L. Charged particles with short range interactions. Annales de l'I.H.P. Physique théorique, Tome 39 (1983) pp. 263-293. http://gdmltest.u-ga.fr/item/AIHPA_1983__38_3_263_0/

[1] M.A. Abramowitz, I.A., Stegun, Handbook of mathematical functions. New York, Dover Publ., 1972.

[2] S. Albeverio, J.E. Fenstad, R. Høegh-Krohn, Trans. Am. Math. Soc., t. 252, 1979, p. 275. | MR 534122 | Zbl 0424.35014

[3] S. Albeverio, F. Gesztesy, R. Høegh-Krohn, Ann. Inst. H. Poincaré, Section A, t. 37, 1982, p. 1. | Numdam | Zbl 0528.35076

[4] S. Albeverio, D. Bollé, F. Gesztesy, R. Høegh-Krohn, L. Streit, Low-energy parameters in nonrelativistic scattering theory, Ann. Phys. (to appear). | Zbl 0542.35056

[5] S. Albeverio, R. Høegh-Krohn, J. Operator Theory, t. 6, 1981, p. 313. | MR 643694

[6] S. Albeverio, R. Høegh-Krohn, Perturbation of resonances in quantum mechanics. Univ. Bochum, preprint, 1981, to appear in J. Math. Anal. and Appl., 1983. | MR 748584

[7] S. Albeverio, R. Høegh-Krohn, L. Streit, J. Math. Phys., t. 18, 1977, p. 907. | Zbl 0368.60091

[8] S. Albeverio, R. Høegh-Krohn, T.T. Wu, Phys. Lett., t. 83 A, 1981, p. 105.

[9] F.A. Berezin, L.D. Faddeev, Sov. Math. Dokl., t. 2, 1961, p. 372. | MR 1092522 | Zbl 0117.06601

[10] H.A. Bethe, Phys. Rev., t. 76, 1949, p. 38. | Zbl 0033.32603

[11] H. Bethe, R. Peierls, Proc. Roy. Soc., t. 148 A, 1935, p. 146. | JFM 61.1583.01 | Zbl 0011.04302

[12] E. Brüning, F. Gesztesy, Continuity of wave and scattering operators with respect to interactions. J. Math. Phys. (to appear). | MR 708672 | Zbl 0523.47008

[13] S. Deser, M.L. Goldberger, K. Baumann, W. Thirring, Phys. Rev., t. 96, 1954, p. 774.

[14] J.D. Dollard, J. Math. Phys., t. 5, 1964, p. 729.

[15] T. Ericson, Pion-nucleus interactions. The investigation of nuclear structure by scattering processes at high energies, Erice, 1974.

[16] H.W. Fearing, Nucl. Phys., t. A 353, 1981, p. 17.

[17] G. Flamand, Cargese lectures in theoretical physics, p. 247, New York, Gordon and Breach, 1967. | MR 228238

[18] F. Gesztesy, J. Math. Phys., t. 23, 1982, p. 74. | MR 640373 | Zbl 0482.35071

[19] F. Gesztesy, L. Pittner, Two-body scattering for Schrödinger operators involving zero-range interactions. To appear in Rep. Math. Phys. | MR 740351 | Zbl 0557.47006

[20] A. Grossmann, Høegh-Krohn, M. Mebkhout, J. Math. Phys., t. 21, 1980, p. 2376. | MR 585589

[21] A. Grossmann, Høegh-Krohn, M. Mebkhout, Commun. Math. Phys., t. 77, 1980, p. 87. | MR 588688

[22] A. Grossmann, T.T. Wu, A class of potentials with extremely narrow resonances I. Case with discrete rotational symmetry, CNRS, CPT Marseille, preprint, 1981.

[23] J.C. Guillot, Ind. Univ. Math. J., t. 25, 1976, p. 1105. | MR 430549 | Zbl 0417.35032

[24] L. Hostler, J. Math. Phys., t. 8, 1967, p. 642. | MR 715409

[25] J.D. Jackson, J.M. Blatt, Rev. Mod. Phys., t. 22, 1950, p. 119.

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

[27] T. Kato, Perturbation theory for linear operators, New York, Springer, 1966. | MR 203473 | Zbl 0148.12601

[28] W. Kirsch, F. Martinelli, Commun. Math. Phys., t. 85, 1982, p. 329. | MR 678150 | Zbl 0506.60058

[29] J.R. Klauder, Acta Physica Austriaca, Suppl. t. 11, 1973, p. 341.

[30] M. Klaus, B. Simon, Ann. Phys., t. 130, 1980, p. 251. | MR 610664 | Zbl 0455.35112

[31] R.A. Minlos, L.D. Faddeev, Sov. Phys. Dokl., t. 6, 1962, p. 1072. | MR 147136

[32] R.G. Newton, Scattering theory of waves and particles, New York, McGraw-Hill, 1966. | MR 221823

[33] R.G. Newton, J. Math. Phys., t. 18, 1977, p. 1348.

[34] G. Rasche, W.S. Woolcock, Connection between low energy scattering parameters and energy shifts for hadronic atoms. Preprint.

[35] M. Reed, B. Simon, Methods of modern mathematical physics. II. Fourier analysis, self-adjointness, New York, London, Academic Press, 1975. | MR 493420 | Zbl 0308.47002

[36] M. Reed, B. Simon, Methods of modern mathematical physics. III. Scattering theory, New York, London, Academic Press, 1979. | MR 529429 | Zbl 0405.47007

[37] F. Rellich, Math. Z., t. 49, 1943-1944, p. 702. | MR 13183 | Zbl 0028.40803

[38] V.A. Rizov, I.T. Todorov, Sov. J. Part. Nucl., t. 6, 1976, p. 269.

[39] P.U. Sauer, Phys. Rev. Lett., t. 32, 1974, p. 626.

[40] B. Simon, Quantum mechanics for Hamiltonians defined as quadratic forms, Princeton, Univ. Press, 1971. | MR 455975 | Zbl 0232.47053

[41] B. Simon, J. Funct. Anal., t. 14, 1973, p. 295. | Zbl 0268.47021

[42] B. Simon, Trace ideals and their applications. Cambridge, Univ. Press, 1979. | MR 541149 | Zbl 0423.47001

[43] L. Streit, I.T. Todorov, Exact solution of a quasipotential equation for charged spinless particles. In preparation.

[44] J. Thaler, H.F.K. Zingl, J. Phys. G., t. 8, 1982, p. 771.

[45] L.H. Thomas, Phys. Rev., t. 47, 1935, p. 903. | JFM 61.1582.02 | Zbl 0011.42701

[46] H. Van Haeringen, J. Math. Phys., t. 18, 1977, p. 927.

[47] J. Zorbas, J. Math. Phys., t. 21, 1980, p. 840. | MR 565731 | Zbl 0466.47007