The (in)finite dimensional symplectic group of homogeneous canonical
transformations is represented on the bosonic Fock space by the action of the
group on the ultracoherent vectors, which are generalizations of the coherent
states.Comment: 24 page

Araki H.

Berezin F. A.

Friedrichs K. O.

Guichardet A.

Hille E.

Ito K. R.

JOACHIM KUPSCH

Kupsch J.

Nielsen T. T.

Ottesen J. T.

SUBHASHISH BANERJEE

English

arXiv

Crossref

ULTRACOHERENCE AND CANONICAL TRANSFORMATIONS

The free analogue of the transportation cost inequality so far obtained for measures is extended to the noncommutative setting. Our free transportation cost inequality is for tracial distributions of noncommutative self-adjoint (also unitary) multi-variables in the framework of tracial C*-probability spaces, and it tells that the Wasserstein distance is dominated by the square root of the relative free entropy with respect to a potential of additive type (corresponding to the free case) with some convexity condition. The proof is based on random matrix approximation procedure.journal articl

HIAI, FUMIO

UEDA, YOSHIMICHI

Nagoya Repository

Infinite Dimensional Analysis Quantum Probability and Related Topics

FREE TRANSPORTATION COST INEQUALITIES FOR NONCOMMUTATIVE MULTI-VARIABLES

The symplectic group of homogeneous canonical transformations is represented in the bosonic Fock space by the action of the group on the ultracoherent vectors, which are generalizations of the coherent states. The intertwining relations between this representation and the algebra of Weyl operators are derived. They confirm the identification of this representation with Bogoliubov transformations

Kupsch, Joachim

Banerjee, Subhashish

KLUEDO Publication Server of University of Kaiserslautern-Landau (RPTU)

Ultracoherence and Canonical Transformations

Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)The (in)finite dimensional symplectic group of homogeneous canonical transformations is represented on the bosonic Fock space by the action of the group on the ultracoherent vectors, which are generalizations of the coherent states

Raman Research Institute Digital Repository

Ultracoherence and canonical transformations

http://adsabs.harvard.edu/abs/2004math.ph..10049K

Ultracoherence and Canonical Transformations

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Nagoya Repository

KLUEDO Publication Server of University of Kaiserslautern-Landau (RPTU)

Raman Research Institute Digital Repository