Berezin Toeplitz Quantization And Berezin Symbols For Arbitrary Compact K Hler Manifolds
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Berezin Toeplitz Quantization And Berezin Symbols For Arbitrary Compact K Hler Manifolds
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Author : Martin Schlichenmaier
language : en
Publisher:
Release Date : 1999
Berezin Toeplitz Quantization And Berezin Symbols For Arbitrary Compact K Hler Manifolds written by Martin Schlichenmaier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Berezin Toeplitz Quantization Of Compact K Hler Manifolds
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Author : Martin Schlichenmaier
language : en
Publisher:
Release Date : 1996
Berezin Toeplitz Quantization Of Compact K Hler Manifolds written by Martin Schlichenmaier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Berezin Toeplitz Quantization And Berezin Transform
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Author : Martin Schlichenmaier
language : en
Publisher:
Release Date : 2000
Berezin Toeplitz Quantization And Berezin Transform written by Martin Schlichenmaier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Berezin Quantization From Ergodic Actions Of Compact Quantum Groups And Quantum Gromov Hausdorff Distance
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Author : Jeremy Neil Sain
language : en
Publisher:
Release Date : 2009
Berezin Quantization From Ergodic Actions Of Compact Quantum Groups And Quantum Gromov Hausdorff Distance written by Jeremy Neil Sain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Berezin Toeplitz Quantization By Wiener Regularized Path Integrals
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Author : Bernhard G. Bodmann
language : en
Publisher:
Release Date : 2001
Berezin Toeplitz Quantization By Wiener Regularized Path Integrals written by Bernhard G. Bodmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
ABSTRACT: This dissertation investigates a class of operators resulting from a quantization scheme attributed to Berezin. These so-called Berezin-Toeplitz operators are defined on a Hilbert space of square-integrable holomorphic sections in a line bundle over the classical phase space. A first concern is the construction of self-adjoint Berezin-Toeplitz operators associated with semibounded quadratic forms. These forms are obtained from the inner product of the Hilbert space by multiplying the underlying measure with sufficiently regular real-valued functions. The semigroups generated by the associated self-adjoint Berezin-Toeplitz operators may under certain conditions be represented in the form of Wiener-regularized path integrals, according to a concept by Daubechies and Klauder. More explicitly, the integration is taken over Brownian-motion paths in phase space in the ultra-diffusive limit. Finally, the probabilistic representation and an invariance property of Brownian motion are combined to yield a relation between resolvents of different Berezin-Toeplitz operators. All results are the consequence of a relation between Berezin-Toeplitz operators and Schrödinger operators defined via certain quadratic forms. The probabilistic representation is derived in conjunction with a version of the Feynman-Kac formula.