Irreversibility and Causality: Semigroups and Rigged Hilbert Spaces by Arno Bohm (PDF)

Description

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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