Rigorous approach to elastic meson-nucleon scattering in non-relativistic quantum field theory. (I) : integral equation and Schrödinger ket
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 34 (1981) no. 3, pp. 253-276.
@article{AIHPA_1981__34_3_253_0,
     author = {Alvarez-Estrada, R. F.},
     title = {Rigorous approach to elastic meson-nucleon scattering in non-relativistic quantum field theory. {(I)} : integral equation and {Schr\"odinger} ket},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {253--276},
     publisher = {Gauthier-Villars},
     volume = {34},
     number = {3},
     year = {1981},
     mrnumber = {612218},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1981__34_3_253_0/}
}
TY  - JOUR
AU  - Alvarez-Estrada, R. F.
TI  - Rigorous approach to elastic meson-nucleon scattering in non-relativistic quantum field theory. (I) : integral equation and Schrödinger ket
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1981
SP  - 253
EP  - 276
VL  - 34
IS  - 3
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1981__34_3_253_0/
LA  - en
ID  - AIHPA_1981__34_3_253_0
ER  - 
%0 Journal Article
%A Alvarez-Estrada, R. F.
%T Rigorous approach to elastic meson-nucleon scattering in non-relativistic quantum field theory. (I) : integral equation and Schrödinger ket
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1981
%P 253-276
%V 34
%N 3
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1981__34_3_253_0/
%G en
%F AIHPA_1981__34_3_253_0
Alvarez-Estrada, R. F. Rigorous approach to elastic meson-nucleon scattering in non-relativistic quantum field theory. (I) : integral equation and Schrödinger ket. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 34 (1981) no. 3, pp. 253-276. http://archive.numdam.org/item/AIHPA_1981__34_3_253_0/

[1] R.G. Newton, Scattering Theory of Waves and Particles, Mc Graw-Hill, New York, 1966. | MR

[2] V. De Alfaro and T. Regge, Potential Scattering, North Holland, Amsterdam, 1965. | MR | Zbl

[3] B. Simon, Quantum Mechanics for Hamiltonians Defined as Quadratic Forms, Princeton University Press, Princeton, N. J., 1971. M. Reed and B. Simon, Methods of Modern Mathematical Physics, vol. III : Scattering Theory, Academic Press, 1979. | MR | Zbl

[4] L.D. Faddeev, Trudy Steklov Math. Inst., t. 69, 1963. | MR | Zbl

[5] K. Hepp, Helvetia Physico Acta, t. 42, 1969, p. 425. | MR

J. Ginibre and M. Moulin, Ann. Inst. Henri Poincaré, t. 21, 1974, p. 97. | Numdam | Zbl

J.M. Combes, « Scattering Theory in Quantum Mechanics and Asymptotic Completeness » in Mathematical Problems in Theoretical Physics, Lecture Notes in Physics, n° 80, Springer-Verlag, Berlin, 1978. | MR | Zbl

[6] S.S. Schweber, An Introduction to Relativistic Quantum Field Theory, section 12d, Harper and Row, New York, 1961. E.M. Henley and W. Thirring, Elementary Quantum Field Theory, Part III, Mc Graw-Hill, New York, 1962. | MR

[7] M. Stingl and A.T. Stelbovics, J. Phys. G., t. 4, 1978, p. 1371, 1389. Review talks by K. HOLINDE (p. 21-47) and A.W. Thomas, in Few body Systems and Nuclear Forces II, Lecture Notes in Physics, t. 87, Springer-Verlag, Berlin, 1978.

[8] W. Jones and N.H. March, Theoretical Solid State Physics, t. 2 : Non-Equilibrium and Disorder, chapter 9, John Wiley, London, 1973.

[9] W.H. Louisell, Quantum Statistical Properties of Radiation, John Wiley, New York, 1973. | MR

[10] J.P. Eckmann, Comm. Math. Phys., t. 18. 1970, p. 247. S. Albeverio, J. Math. Phys., t. 14, 1973, p. 1800 and Helv. Phys. Acta, t. 45, 1972, p. 303. | MR | Zbl

[11] S. Albeverio, An Introduction to Some Mathematical Aspects of Scattering Theory in Models of Quantum Fields, in Scattering Theory in Mathematical Physics, Reidel, The Netherlands, 1974. Y. Kato, Bound States and Asymptotic Fields in Model Field Theories, in International Symposium on Mathematical Problems in Theoretical Physics, Lecture Notes in Physics, n° 39, Springer-Verlag, Berlin, 1975.

[12] K. Hepp, Theorie de la Renormalisation, Lecture Notes in Physics, t. 2, Springer-Verlag, Berlin, 1969. | MR

[13] J. Frohlich, Fortsch. der Phys. t. 22, 1974, p. 159 and Ann. Inst. Henri Poincaré, t. 19, 1973, p. 1.

[14] R.F. Alvarez-Estrada, Ann. Inst. Henri Poincaré, t. 31, 1979, p. 141. | Numdam | MR

[15] O.A. Yakubovsky, J. Nucl. Phys. (USSR), t. 5, 1967, p. 1312.

[16] R. Schrader, Comm. Math. Phys., t. 10, 1968, p. 155. | MR | Zbl

[17] A. Bethe and F. De Hoffmann, Mesons and Fields. Vol. II : Mesons, section 40. Row, Evanston and Co. Illinois, 1955. | Zbl

[18] L.M. Scarfone, J.A. Burns, J. Math. Phys., t. 18, 1977, p. 2031.

[19] S. Swain, J. Phys., A, t. 8, 1975, p. 1277.

[20] E. Nelson, J. Math. Phys., t. 5, 1964, p. 1190.

[21] H.S. Wall, Analytic Theory of Continued Fractions, Van Nostrand, New York, 1948. | MR | Zbl

[22] G.C. Wick, Rev. Mod. Phys., t. 27, 1955, p. 339. | MR | Zbl

[23] C. Lovelace, Phys. Rev., t. 135B, 1964, p. 1225. | MR