Irreversibility and causality : semigroups and rigged Hilbert space : a selection of articles presented at the 21st International Colloquium on Group Theoretical Methods in Physics (ICGTMP) at Goslar, Germany, July 16-21, 1996 / Arno Bohm, Heinz-Dietrich Doebner, Piotr Kielanowski (eds.).

By: (21st : International Colloquium on Group Theoretical Methods in Physics (21st : 1996 : Goslar, Germany)
Contributor(s): Böhm, Arno, 1936- | Doebner, H. D. (Heinz Dietrich), 1931- | Kielanowski, P. (Piotr), 1944-
Material type: TextTextSeries: Lecture notes in physics: 504-504.Publisher: Berlin ; New York : Springer, ©1998Description: 1 online resource (xix, 384 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540697251; 354069725XSubject(s): Irreversible processes -- Congresses | Semigroups -- Congresses | Hilbert space -- Congresses | Causality (Physics) -- Congresses | Mathematical physics -- Congresses | Causality (Physics) | Hilbert space | Irreversible processes | Mathematical physics | Semigroups | Halbgruppe | Hilbert-Raum | Irreversibler Prozess | Kausalität | Théorie quantique -- Congrès | Physique mathématique -- Congrès | Hilbert, Espaces de | Semigroupes | Goslar <1996>Genre/Form: Electronic books. | Conference papers and proceedings. | Kongress. Additional physical formats: Print version:International Colloquium on Group Theoretical Methods in Physics (21st : 1996 : Goslar, Germany).: Irreversibility and causality.DDC classification: 530.15/22 LOC classification: QC174.17.I76 | I54 1996Other classification: UD 8220 Online resources: Click here to access online
Contents:
Quantum mechanics beyond Hilbert space / J.-P. Antoine -- Gamow states in a rigged Hilbert space / C.G. Bollini [and others] -- Some general properties of the Liouville operator / I. Antoniou, M. Gadella, and Z. Suchanecki -- On dynamical semigroups and open systems / A. Kossakowski -- Covariant quantum dynamical semigroups : unbounded generators / A.S. Holevo -- Quantum stochastic semigroups and their generators / V.P. Belavkin -- From stochastic semigroups to chaotic dynamics / I. Antoniou, K. Gustafson, and Z. Suchanecki -- Complete positivity and neutral kaon decay / F. Benatti --Conventional and S-matrix approaches to hadronic resonances / G. López Castro -- Z boson resonance parameters / T. Riemann -- Quantum theory in the rigged Hilbert space : irreversibility from the causality / A. Bohm and N.L. Harshman -- Causality, particle localization and positivity of the energy / G.C. Hegerfeldt -- Quantum scattering of resonances : poles of acontinued S-matrix and poles of an extended resolvent / I. Antoniou and Yu. Melnikov -- Accidental degeneracy and Berry phase of resonant states / A. Mondragón and E. Hernández -- The global nature of the arrow of time and the Bohm-Reichenbach diagram / M.A. Castagnino -- CP-violation problem beyond the standard Lee-Oehme-Yang theory / L.A. Khalfin -- K⁰-K̄⁰ system in the rigged Hilbert space quantum mechanics / P. Kielanowski -- The Lax-Phillips semigroup of the unstable quantum system / E. Eisenberg, L.P. Horwitz, and Y. Strauss -- A geometrical approach to calculating determinants of Wiener-Hopf operators / J.P. MacCormick and B.S. Pavlov -- Time scale, objectivity and irreversibility in quantum mechanics / L. Lanz and O. Melsheimer -- Indirect measurements and the mirror theorem : a Liouville formulation of quantum mechanics / E. Brändas and B. Hessmo -- Semigroups and antieigenvalues / K. Gustafson.
Action note: digitized 2010 committed to preserveSummary: 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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Includes bibliographical references and index.

Quantum mechanics beyond Hilbert space / J.-P. Antoine -- Gamow states in a rigged Hilbert space / C.G. Bollini [and others] -- Some general properties of the Liouville operator / I. Antoniou, M. Gadella, and Z. Suchanecki -- On dynamical semigroups and open systems / A. Kossakowski -- Covariant quantum dynamical semigroups : unbounded generators / A.S. Holevo -- Quantum stochastic semigroups and their generators / V.P. Belavkin -- From stochastic semigroups to chaotic dynamics / I. Antoniou, K. Gustafson, and Z. Suchanecki -- Complete positivity and neutral kaon decay / F. Benatti --Conventional and S-matrix approaches to hadronic resonances / G. López Castro -- Z boson resonance parameters / T. Riemann -- Quantum theory in the rigged Hilbert space : irreversibility from the causality / A. Bohm and N.L. Harshman -- Causality, particle localization and positivity of the energy / G.C. Hegerfeldt -- Quantum scattering of resonances : poles of acontinued S-matrix and poles of an extended resolvent / I. Antoniou and Yu. Melnikov -- Accidental degeneracy and Berry phase of resonant states / A. Mondragón and E. Hernández -- The global nature of the arrow of time and the Bohm-Reichenbach diagram / M.A. Castagnino -- CP-violation problem beyond the standard Lee-Oehme-Yang theory / L.A. Khalfin -- K⁰-K̄⁰ system in the rigged Hilbert space quantum mechanics / P. Kielanowski -- The Lax-Phillips semigroup of the unstable quantum system / E. Eisenberg, L.P. Horwitz, and Y. Strauss -- A geometrical approach to calculating determinants of Wiener-Hopf operators / J.P. MacCormick and B.S. Pavlov -- Time scale, objectivity and irreversibility in quantum mechanics / L. Lanz and O. Melsheimer -- Indirect measurements and the mirror theorem : a Liouville formulation of quantum mechanics / E. Brändas and B. Hessmo -- Semigroups and antieigenvalues / K. Gustafson.

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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