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Eigenvalue distributions from a star product approach
Eigenvalue distributions star product approach Mathematical Physics
2012/6/21
We use the well-known isomorphism between operator algebras and function spaces equipped with a star product to study the asymptotic properties of certain matrix sequences in which the matrix dimensio...
Spinors and Voros star-product for Group Field Theory: First Contact
Spinors Voros star-product Group Field Theory General Relativity and Quantum Cosmology
2011/10/10
Abstract: In the context of non-commutative geometries, we develop a group Fourier transform for the Lie group SU(2). Our method is based on the Schwinger representation of the Lie algebra su(2) in te...
We apply the star product quantization to the Lie algebra. The quantization in terms of the star product is well known and the commutation relation in this case is called the $\theta$-deformation wher...