SU(1, 1) covariant s-parametrized maps
نویسندگان
چکیده
Abstract We propose a practical recipe to compute the s -parametrized maps for systems with SU(1, 1) symmetry using connection between Q- and P- symbols through action of an operator invariant under group. This establishes equivalence relations 1)-covariant maps. The particular case self-dual (Wigner) phase-space functions, defined on upper sheet two-sheet hyperboloid (or, equivalently, inside Poincaré disc) are analysed.
منابع مشابه
Rapid learning with parametrized self-organizing maps
The construction of computer vision and robot control algorithms from training data is a challenging application for artiicial neural networks. However, many practical applications require an approach that is workable with a small number of data examples. In this contribution, we describe results on the use of \Parametrized Self-organizing Maps" (\PSOMs") with this goal in mind. We report resul...
متن کاملPSOM+: Parametrized Self-Organizing Maps for noisy and incomplete data
We present an extension to the Parametrized Self-Organizing Map that allows the construction of continuous manifolds from noisy, incomplete and not necessarily gridorganized training data. All three problems are tackled by minimizing the overall smoothness of a PSOM manifold. For this, we introduce a matrix which defines a metric in the space of PSOM weights, depending only on the underlying gr...
متن کاملA Covariant Stinespring Type Theorem for Τ-maps
Let τ be a linear map from a unital C∗-algebra A to a von Neumann algebra B and let C be a unital C∗-algebra. A map T from a Hilbert A-module E to a von Neumann C-B module F is called a τ -map if 〈T (x), T (y)〉 = τ(〈x, y〉) for all x, y ∈ E. A Stinespring type theorem for τ -maps and its covariant version are obtained when τ is completely positive. We show that there is a bijective correspondenc...
متن کاملq-Deforming Maps for Lie Group Covariant Heisenberg Algebras
We briefly summarize our systematic construction procedure of qdeforming maps for Lie group covariant Weyl or Clifford algebras. Talk presented at the Fifth Wigner Symposium, 25-29 August 1997, Vienna, Germany. Submitted for the proceedings of the Conference.
متن کاملDeforming Maps for Lie Group Covariant Creation & Annihilation Operators
Any deformation of a Weyl or Clifford algebra A can be realized through a ‘deforming map’, i.e. a formal change of generators in A. This is true in particular if A is covariant under a Lie algebra g and its deformation is induced by some triangular deformation Uhg of the Hopf algebra Ug . We propose a systematic method to construct all the corresponding deforming maps, together with the corresp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2021
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/abd7b4