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Itzykson, C., Kadyshevsky, V. G., and Todorov, I. T., Three Dimensional Formulation of the Relativistic Two-Body Problem and Infinite Component Wave Equations, Institute for Advanced Study, Princeton, preprint (1969) and Phys. Rev. (to be published).
Itzykson, C., and Todorov, I. T., “An Algebraic Approach to the Relativistic Two-Body Problem” in Proceedings of the Coral Gables Conference on Fundamental Interactions on High Energy, T. Gudehus et al. editors, Gordon and Breach, New York (1969).
Todorov, I. T., “On the Three Dimensional Formulation of the Relativistic Two-Body Problem”, Lectures Presented at the Theoretical Physics Institute, University of Colorado, Boulder (1969).
Kadyshevsky, V. G., “Relativistic Equations for the S-Matrix in the p-Representation”, I "Unitarity and Causality Conditions”; II, Soviet Phys. JETP, 19, 443, 597 (1964).
Nakanishi, N., “A General Survey of the Theory of the Bethe-Salpeter Equation”, Prog. Theor. Phys. Suppl., No. 43, 1 (1969).
Wick, G. C., “Properties of the Bethe-Salpeter Wave Functions”, Phys. Rev., 96, 1124 (1954).
Cutkosky, R. E., “Solutions of a Bethe-Salpeter Equation”, Phys. Rev., 96, 1135 (1954).
Kadyshevsky, V. G., “Quasi-potential Equation for the Relativistic Scattering Amplitude”, Nucl. Phys., 136, 125 (1968).
Kadyshevsky, V. G., and Mateev, M. D., “On a Relativistic Quasi-potential Equation in the Case of Particles with Spin”, Nuovo Cimento, 55A, 233 (1968).
Faustov, R. N., and Helashvili, A. A., “Normalization Condition for Simultaneous Wave Function of the Bound State of Two Particles”, JINR, Dubna, preprint P2-4345 (1969).
Logunov, A. A., and Tavkhelidze, A. N., “Quasi-optical Approach in Quantum Field Theory”, Nuovo Cimento, 29, 380 (1963).
Logunov, A. A., Tavkhelidze, A. N., Todorov, I. T., and Khrustalev, O. A., “Quasi-potential Character of the Scattering Amplitude”, Nuovo Cimento, 30, 134 (1963).
Kyriakopoulos, E., “Dynamical Groups and the Bethe-Salpeter Equation”, Phys. Rev., 174, 1846 (1968).
Todorov, I. T., “Discrete Series of Hermitian Representations of the Lie Algebra of U(p,q)”, Int. Centre Theoret. Phys., Trieste, preprint IC/66/71 (1966).
Yao, Tsu, “Unitary Irreducible Representations of SU(2,2), I and II”, J. Math. Phys., 8, 1931 (1967) and 9, 1615 (1968).
Fronsdal, C., “Infinite Multiplets and the Hydrogen Atom”, Phys. Rev., 156, 1665 (1967).
Gel'fand, I. M., Graev, M. I., and Vilenkin, N. Ya., “Integral Geometry and Representation Theory” in Generalized Functions, Vol. 5, Academic Press, New York (1966). See also “Properties and Operations”, Appendix B to Vol. 1, Academic Press, New York (1964).
Nambu, Y., “Infinite-component Wave Equations with Hydrogen-like Mass Spectra”, Phys. Rev., 160, 1171 (1967).
Barut, A. O., and Kleinert, H., “Current Operators and Majorana Equation for the Hydrogen Atom from Dynamical Groups”, Phys. Rev., 157, 1180 (1967).
Bargmann, V., “Irreducible Unitary Representations of the Lorentz Group”, Annals of Math., 48, 568 (1947).
Mack, G., and Todorov, I. T., “Irreducibility of the Ladder Representations of U(2,2) When Restricted to Its Poincaré Subgroup”, J. Math. Phys., 10, 2078 (1969).
Itzykson, C., “Remarks on Boson Commutation Rules”, Commun. Math. Phys., 4, 92 (1967).
Bargmann, V., “Group Representations on Hilbert Spaces of Analytic Functions” in Lectures at the International Symposium on Analytic Methods in Mathematical Physics, Indiana University 1968, Gordon and Breach, New York (1970).
Weil, A., “Sur Certains Groupes d'Operateurs Unitaires”, Acta Math., 111, 143 (1964).
Mackey, G., “Some Remarks on Symplectic Automorphisms”, Proceedings Amer. Math. Soc., 16, 393 (1965).
Kurşunoglu, B., Modern Quantum Theory, W. H. Freeman and Co., San Francisco (1962), p. 257.
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Todorov, I.T. (1970). Derivation and solution of an infinite-component wave equation for the relativistic Coulomb problem. In: Goldin, G.A., et al. Group Representations in Mathematics and Physics. Lecture Notes in Physics, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-05310-7_29
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