Charged particles with short range interactions
S. Albeverio; F. Gesztesy; R. Høegh-Krohn; L. Streit
Annales de l'I.H.P. Physique théorique (1983)
- Volume: 38, Issue: 3, page 263-293
- ISSN: 0246-0211
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topAlbeverio, S., et al. "Charged particles with short range interactions." Annales de l'I.H.P. Physique théorique 38.3 (1983): 263-293. <http://eudml.org/doc/76199>.
@article{Albeverio1983,
author = {Albeverio, S., Gesztesy, F., Høegh-Krohn, R., Streit, L.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Schrödinger Hamiltonians; scaling; two-body Schrödinger operator; charged particles; force of very short range; S matrix; low energy behaviour; point interactions},
language = {eng},
number = {3},
pages = {263-293},
publisher = {Gauthier-Villars},
title = {Charged particles with short range interactions},
url = {http://eudml.org/doc/76199},
volume = {38},
year = {1983},
}
TY - JOUR
AU - Albeverio, S.
AU - Gesztesy, F.
AU - Høegh-Krohn, R.
AU - Streit, L.
TI - Charged particles with short range interactions
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 38
IS - 3
SP - 263
EP - 293
LA - eng
KW - Schrödinger Hamiltonians; scaling; two-body Schrödinger operator; charged particles; force of very short range; S matrix; low energy behaviour; point interactions
UR - http://eudml.org/doc/76199
ER -
References
top- [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. Zbl0424.35014MR534122
- [3] S. Albeverio, F. Gesztesy, R. Høegh-Krohn, Ann. Inst. H. Poincaré, Section A, t. 37, 1982, p. 1. Zbl0528.35076
- [4] S. Albeverio, D. Bollé, F. Gesztesy, R. Høegh-Krohn, L. Streit, Low-energy parameters in nonrelativistic scattering theory, Ann. Phys. (to appear). Zbl0542.35056
- [5] S. Albeverio, R. Høegh-Krohn, J. Operator Theory, t. 6, 1981, p. 313. MR643694
- [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. Zbl0564.35026MR748584
- [7] S. Albeverio, R. Høegh-Krohn, L. Streit, J. Math. Phys., t. 18, 1977, p. 907. Zbl0368.60091
- [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. Zbl0117.06601MR1092522
- [10] H.A. Bethe, Phys. Rev., t. 76, 1949, p. 38. Zbl0033.32603
- [11] H. Bethe, R. Peierls, Proc. Roy. Soc., t. 148 A, 1935, p. 146. Zbl0011.04302JFM61.1583.01
- [12] E. Brüning, F. Gesztesy, Continuity of wave and scattering operators with respect to interactions. J. Math. Phys. (to appear). Zbl0523.47008MR708672
- [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. MR228238
- [18] F. Gesztesy, J. Math. Phys., t. 23, 1982, p. 74. Zbl0482.35071MR640373
- [19] F. Gesztesy, L. Pittner, Two-body scattering for Schrödinger operators involving zero-range interactions. To appear in Rep. Math. Phys. Zbl0557.47006MR740351
- [20] A. Grossmann, Høegh-Krohn, M. Mebkhout, J. Math. Phys., t. 21, 1980, p. 2376. MR585589
- [21] A. Grossmann, Høegh-Krohn, M. Mebkhout, Commun. Math. Phys., t. 77, 1980, p. 87. MR588688
- [22] A. Grossmann, T.T. Wu, A class of potentials with extremely narrow resonances I.Case with discrete rotational symmetry, CNRS, CPTMarseille, preprint, 1981.
- [23] J.C. Guillot, Ind. Univ. Math. J., t. 25, 1976, p. 1105. Zbl0417.35032MR430549
- [24] L. Hostler, J. Math. Phys., t. 8, 1967, p. 642. MR715409
- [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. Zbl0448.35080MR544248
- [27] T. Kato, Perturbation theory for linear operators, New York, Springer, 1966. Zbl0148.12601MR203473
- [28] W. Kirsch, F. Martinelli, Commun. Math. Phys., t. 85, 1982, p. 329. Zbl0506.60058MR678150
- [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. Zbl0455.35112MR610664
- [31] R.A. Minlos, L.D. Faddeev, Sov. Phys. Dokl., t. 6, 1962, p. 1072. MR147136
- [32] R.G. Newton, Scattering theory of waves and particles, New York, McGraw–Hill, 1966. MR221823
- [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. Zbl0308.47002MR493420
- [36] M. Reed, B. Simon, Methods of modern mathematical physics. III.Scattering theory, New York, London, Academic Press, 1979. Zbl0405.47007MR529429
- [37] F. Rellich, Math. Z., t. 49, 1943-1944, p. 702. Zbl0028.40803MR13183
- [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. Zbl0232.47053MR455975
- [41] B. Simon, J. Funct. Anal., t. 14, 1973, p. 295. Zbl0268.47021
- [42] B. Simon, Trace ideals and their applications. Cambridge, Univ. Press, 1979. Zbl0423.47001MR541149
- [43] L. Streit, I.T. Todorov, Exact solution of a quasipotential equation for charged spinless particles. In preparation. Zbl0649.35075
- [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. Zbl0011.42701JFM61.1582.02
- [46] H. Van Haeringen, J. Math. Phys., t. 18, 1977, p. 927.
- [47] J. Zorbas, J. Math. Phys., t. 21, 1980, p. 840. Zbl0466.47007MR565731
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