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Decomposition of the Unitary Irreducible Representations of the Group SL(2C) Restricted to the Subgroup SU(1, 1)
A. Sciarrino,M. Toller +1 more
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In this paper, the unitary irreducible representations of the group SL(2C) belonging to the principal series restricted to the subgroup SU(1, 1) are decomposed into a direct integral of unitary IR representations of SU( 1, 1).Abstract:
The unitary irreducible representations of the group SL(2C) belonging to the principal series restricted to the subgroup SU(1, 1) are decomposed into a direct integral of unitary irreducible representations of SU(1, 1) The matrix elements of the unitary operator which performs the decomposition are given explicitly and used to obtain a relation between the matrix elements of the unitary irreducible representations of the groups SL(2C) and SU(1, 1) Similar identities between the matrix elements of nonunitary representations of these groups are obtained by means of analytic continuation The relevance of these results to the theory of complex angular momentum and of high energy nearly forwardscattering is pointed outread more
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Unitary representations of super-gauge symmetries
TL;DR: A method for constructing some of the unitary irreducible representations of the Wess-Zumino super-gauge symmetry is given in this paper, which is used in the analysis of S -matrix elements.
Journal ArticleDOI
On intelligent spin states
C. Aragone,E. Chalbaud,S. Salamó +2 more
TL;DR: In this paper, a more compact representation of the intelligent spin states defined by Aragone, Guerri, Salamo, and Tani is given, and the evolution of these states under a particular time dependent Hamiltonian is studied, showing the relevance of the noncompact subgroup K of the Lorentz group.
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Contractions of representations of de Sitter groups
J. Mickelsson,J. Niederle +1 more
TL;DR: In this article, the contraction of the principal continuous series of the de Sitter groups to positive mass representations of both the Euclidean and Poincare groups is carried out in detail.
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An expansion of the scattering amplitude at vanishing four-momentum transfer using the representations of the Lorentz group
TL;DR: In this article, the high energy asymptotic behavior of the amplitude at vanishing four-momentum transfer is expanded by means of the matrix elements of the irreducible representations of the Lorentz group including space reflection and the PCT transformation.
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On two-particle correlations in high energy production experiments
TL;DR: In this paper, the role of phase space arguments and the importance of detecting correlations in high energy production experiments as an hint for understanding the underlying dynamics is emphasized, and two peculiar correlations in two-particle inclusive distributions are examined: the one coming from multi-peripheral dynamics with Lorentz pole exchanges, the other due to direct channel resonances.
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On Unitary Representations of the Inhomogeneous Lorentz Group
TL;DR: The superposition principle of the wave function is defined in this article, which is the fundamental principle of quantum mechanics that the system of states forms a linear manifold, in which a unitary scalar product is defined.