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Models with SL(2, C) symmetry and their S-matrices

G A Kerimov

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We study quantum systems whose scattering modes are governed by unitary representation of the \frak{sl}(2,C) algebra. The S-matrices of the systems under consideration are defined from intertwining relations for the Weyl equivalent representations of the group SL(2, C) or its Lie algebra.


PACS

03.65.Nk Scattering theory

03.65.Ge Solutions of wave equations: bound states

02.10.Yn Matrix theory

02.20.Sv Lie algebras of Lie groups

MSC

22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx)

81Uxx Scattering theory (See also 34A55, 34L25, 34L40, 35P25, 47A40)

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

81U20 S-matrix theory, etc.

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 9 (4 March 2005)

Received 2 August 2004, in final form 13 December 2004

Published 16 February 2005



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