Berezin Toeplitz Quantization By Wiener Regularized Path Integrals

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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.

Dissertation Abstracts International

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Author :
language : en
Publisher:
Release Date : 2001

Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Dissertations, Academic categories.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2004

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Harmonic And Complex Analysis And Its Applications

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Author : Alexander Vasil'ev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09

Harmonic And Complex Analysis And Its Applications written by Alexander Vasil'ev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with Mathematics categories.

This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.

Abstracts Of Papers Presented To The American Mathematical Society

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Author : American Mathematical Society
language : en
Publisher:
Release Date : 2006

Abstracts Of Papers Presented To The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics 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.

Dissipation Quantization And Feynman Path Integrals

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Author : Amarendra Sinha
language : en
Publisher:
Release Date : 1975

Dissipation Quantization And Feynman Path Integrals written by Amarendra Sinha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Quantum theory categories.

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.