Three-dimensional Lorentz group and harmonic analysis of the scattering amplitude

M. Toller

doi:10.1007/bf02749860

journal article May 01, 1965

Three-dimensional Lorentz group and harmonic analysis of the scattering amplitude

M. Toller

Il Nuovo Cimento Vol. 37 No. 2 pp. 631-657 · Springer Science and Business Media LLC

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References

24

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On the general theory of collisions for particles with spin

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E. L. Omnès:On the Three-Body Scattering Amplitude, I, II andIII, U.C.E.L. reports andPhys. Rev.,134, B 1358 (1964).

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M. Andbews andJ. Gunson:Complex Angular Momentum in Many-Partiele States, I and II, preprint (University of Birmingham, 1963). This paper gives also the connection between the matrix elements of the local representations of the rotation group and of the representations of the three-dimensional Lorentz group.

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S. Mandelstam:Ann. Phys.,19, 254 (1962). 10.1016/0003-4916(62)90218-x

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The possibility of writing down an integral equation for the relativistic threeparticle amplitudes has been investigated byA. Tucciarone:Thesis (Roma, 1964).

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For a discussion of the concept of equivalence for nonunitary infinitedimensional representations, see :M. A. Naimark :Linear Eepresentations of the Lorentz Group, translations AMS (1957), p. 379;G. Mackey:Bull. Am. Math. Soc,69, 628 (1963). 10.1090/s0002-9904-1963-10973-8

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G. Doetsch:Theorie und Anwendung der Laplace-Transformation, III Teil (New York, 1943).

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A.Eedelti, W. Magnus, F. Obebhettingeb andF. Gr. Tkicomi:Higher Transcendental Functions, vol.1, formula 2.1.3.13.

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Loc. cit., formula 2.1.4.17.

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183

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Published: May 01, 1965
Vol/Issue: 37(2)
Pages: 631-657
License: View

Authors

M

M. Toller

Cite This Article

M. Toller (1965). Three-dimensional Lorentz group and harmonic analysis of the scattering amplitude. Il Nuovo Cimento, 37(2), 631-657. https://doi.org/10.1007/bf02749860

Three-dimensional Lorentz group and harmonic analysis of the scattering amplitude

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