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Irreversibility and Causality: Semigroups and Rigged Hilbert Spaces de Arno Bohm

Irreversibility and Causality: Semigroups and Rigged Hilbert Spaces: Lecture Notes in Physics, cartea 504

Editat de Arno Bohm, Heinz-Dietrich Doebner, Piotr Kielanowski
en Limba Engleză Paperback – 13 noi 2013
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
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Specificații

ISBN-13: 9783662141960
ISBN-10: 3662141965
Pagini: 412
Ilustrații: XIX, 388 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.58 kg
Ediția:Softcover reprint of the original 1st ed. 1998
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Physics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Caracteristici

The book deals with a rather controversial concept of quantum irreversibility and should be of great interest to physicists as well as to those interested in the foundations of the exact sciences.