Irreversibility and Causality: Semigroups and Rigged Hilbert Spaces

Author:   Arno Bohm ,  Heinz-Dietrich Doebner ,  Piotr Kielanowski
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of the original 1st ed. 1998
Volume:   504
ISBN:  

9783662141960


Pages:   388
Publication Date:   13 November 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Irreversibility and Causality: Semigroups and Rigged Hilbert Spaces


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Overview

This volume has its origin in the Semigroup Symposium which was organized in connection with the 21st International Colloquium on Group Theoretical Methods in Physics (ICGTMP) at Goslar, Germany, July 16-21, 1996. Just as groups are important tools for the description of reversible physical processes, semigroups are indispensable in the description of irreversible physical processes in which a direction of time is distinguished. There is ample evidence of time asymmetry in the microphysical world. The desire to go beyond the stationary systems has generated much recent effort and discussion regarding the application of semigroups to time-asymmetric processes. The book should be of interest to scientists and graduate students

Full Product Details

Author:   Arno Bohm ,  Heinz-Dietrich Doebner ,  Piotr Kielanowski
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1998
Volume:   504
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   0.629kg
ISBN:  

9783662141960


ISBN 10:   3662141965
Pages:   388
Publication Date:   13 November 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Quantum mechanics beyond hilbert space.- Gamow states in a rigged hilbert space.- Some general properties of the liouville operator.- On dynamical semigroups and open systems.- Covariant quantum dynamical semigroups: Unbounded generators.- Quantum stochastic semigroups and their generators.- From stochastic semigroups to chaotic dynamics.- Complete positivity and neutral kaon decay.- Conventional and S-matrix approaches to hadronic resonances.- Z boson resonance parameters.- Quantum theory in the rigged hilbert space — Irreversibility from causality.- Causality, particle localization and positivity of the energy.- Quantum scattering of resonances: Poles of a continued S-matrix and poles of an extended resolvent.- Accidental degeneracy and berry phase of resonant states.- The global nature of the arrow of time and the bohm-reichenbach diagram.- CP-violation problem beyond the standard lee-oehme-yang theory.- K 0 ? system in the rigged hilbert space quantum mechanics.- The lax-phillips semigroup of the unstable quantum system.- A geometrical approach to calculating determinants of Wiener-Hopf operators.- Time scale, objectivity and irreversibility in quantum mechanics.- Indirect measurements and the mirror theorem: A liouville formulation of quantum mechanics.- Semigroups and antieigenvalues.

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