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Topological Quantum Computing
Entanglement Theory Quantum Correlations
Quantum Simulation
Quantum State Preparation Representation
Jacobi polynomials and SU(2,2)
arXiv
Authors: E. Celeghini, M. A. del Olmo, M. A. Velasco
Year
2013
Paper ID
33480
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
Abstract
A ladder structure of operators is presented for the Jacobi polynomials, J_n^(a,b)(x), with parameters n, a and b integers, showing that they are related to the unitary irreducible representation of SU(2,2) with quadratic Casimir C_SU(2,2)=-3/2. As they determine also a base of square-integrable functions, the universal enveloping algebra of su(2,2) is homomorphic to the space of linear operators acting on the L^2 functions defined on (-1,+1) x Z x Z/2.
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- A ladder structure of operators is presented for the Jacobi polynomials, J_n^(a,b)(x), with parameters n, a and b integers, showing that they are related to the unitary...
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