Dynamics of algebras in quantum unstable systems

DOI10.1142/S0217751X18501099zbMath1394.81163arXiv1806.04997MaRDI QIDQ3177446

Sebastian Fortin, Marcelo Losada, Federico Holik, Manuel Gadella

Publication date: 25 July 2018

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04997

zbMATH Keywords

algebrasunstable systemsrigged Hilbert spacedynamical logics

Mathematics Subject Classification ID

Quantum scattering theory (81U99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (2)

Evolution of quantum observables: from non-commutativity to commutativity ⋮ Dynamics of finite dimensional non-hermitian systems with indefinite metric

Cites Work

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• The measurement process in the generalized contexts formalism for quantum histories
• Leaky modes of waveguides as a classical optics analogy of quantum resonances
• Generalized contexts and consistent histories in quantum mechanics
• On the lattice structure of probability spaces in quantum mechanics
• The new quantum logic
• Partial traces in decoherence and in interpretation: what do reduced states refer to?
• Quantum histories without contrary inferences
• Classical limit and quantum logic
• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• An introduction to Hilbert space and quantum logic
• Dirac kets, Gamov vectors and Gel'fand triplets. The rigged Hilbert space and quantum mechanics. Lectures in mathematical physics at the University of Texas at Austin
• On the mathematical basis of the Dirac formulation of quantum mechanics
• Gamow vectors and time asymmetry
• Contrary quantum histories and contrary inferences
• Convex quantum logic
• Quantum decoherence: a logical perspective
• A discussion on the properties of Gamow states
• Formal features of a general theoretical framework for decoherence in open and closed systems
• Rigged Hilbert spaces in quantum mechanics
• The logic of quantum mechanics
• NEW BASES FOR A GENERAL DEFINITION FOR THE MOVING PREFERRED BASIS
• Non-Hermitian Quantum Mechanics
• The Friedrichs model and its use in resonance phenomena
• THE EFFECT OF RANDOM COUPLING COEFFICIENTS ON DECOHERENCE
• A non-Hermitian Hamilton operator and the physics of open quantum systems
• Non-unitary transformation of conservative to dissipative evolutions
• Gamow functionals on operator algebras
• Non-unitary Evolution of Quantum Logics
• Time Asymmetric Quantum Mechanics and Shock Waves: Exploring the Irreversibility in Nonlinear Optics
• Time asymmetric quantum theory – I. Modifying an axiom of quantum physics
• Non-Hermitian Hamiltonians in decoherence and equilibrium theory
• A quantum logical and geometrical approach to the study of improper mixtures
• Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism

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