New representations of the Poincaré group describing two interacting bosons
Annales de l'I.H.P. Physique théorique, Tome 71 (1999) no. 2, p. 217-239
@article{AIHPA_1999__71_2_217_0,
author = {Frochaux, E.},
title = {New representations of the Poincar\'e group describing two interacting bosons},
journal = {Annales de l'I.H.P. Physique th\'eorique},
publisher = {Gauthier-Villars},
volume = {71},
number = {2},
year = {1999},
pages = {217-239},
zbl = {0964.81023},
mrnumber = {1705127},
language = {en},
url = {http://www.numdam.org/item/AIHPA_1999__71_2_217_0}
}

Frochaux, E. New representations of the Poincaré group describing two interacting bosons. Annales de l'I.H.P. Physique théorique, Tome 71 (1999) no. 2, pp. 217-239. https://www.numdam.org/item/AIHPA_1999__71_2_217_0/

[1] P.A.M. Dirac, Forms of relativistic dynamics, Rev. Mod. Phys. 21 (1949) 392- 399. | MR 33248 | Zbl 0035.26803

[2] D.G. Currie, Interaction contra classical relativistic Hamiltonian particle mechanics, J. Math. Phys. 4 (1963); See also E.C.G. Sudarshan and N. Mukunda, Classical Dynamics: A Modern Perspective, Wiley, New York, 1974. | MR 158737 | Zbl 0125.19505

[3] E. Frochaux, Non-trivial representations of the special relativity group, Forum Math. 9 (1997) 75-102. | MR 1426455 | Zbl 0863.22005

[4] E. Frochaux, Two relativistic boson models in the Schrödinger picture in three space-time dimensions, J. Math. Phys. 37 (1996) 2979-3000. | MR 1390248 | Zbl 0861.22015

[5] E. Frochaux, A relativistic quantum equation for N ≽ 2 bosons in two space-time dimensions, Helv. Phys. Acta 68 (1995) 47-63. | MR 1335349 | Zbl 0840.35114

[6] E. Frochaux and A. Roessl, A relativistic generalization of Quantum Mechanics in two space-time dimensions, in preparation.

[7] E. Nelson, Analytic vectors, Ann. Math. 70 (1959) 572-615. | MR 107176 | Zbl 0091.10704

[8] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. II, Fourier Analysis and Self-Adjointness, Academic Press, New York, 1975. | Zbl 0308.47002

[9] J. Sucher, Relativistic invariance and the square-root Klein-Gordon equation, J Math. Phys. 4 (1963) 17-23. | MR 144638 | Zbl 0115.44403

[10] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. III, Scattering Theory, Academic Press, Boston, 1979. | MR 529429 | Zbl 0405.47007

[11] D.R. Yafaev, Mathematical Scattering Theory, General Theory, Translations of Mathematical Monographs, Amer. Math. Soc., Providence, RI, 1992. | MR 1180965 | Zbl 0761.47001

[12] N. Dunford and J.T. Schwartz, Linear Operators: Part II: Spectral Theory, Wiley Classical Library, Interscience, 1988. | MR 1009163 | Zbl 0635.47002

[13] E.P. Wigner, Unitary representations of the inhomogeneous Lorentz group, Ann. Math. 40 (1939) 149-204. | JFM 65.1129.01 | MR 1503456 | Zbl 0020.29601