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http://hdl.handle.net/2289/4529
Title: | In search of a covariant quantum measure |
Authors: | Surya, Sumati |
Issue Date: | Jul-2011 |
Publisher: | IOP Publishing Ltd |
Citation: | Journal of Physics: Conference Series, Vol 306, p012018 |
Abstract: | In the quantum measure approach, quantum theory is viewed as a generalisation of classical stochastic theory rather than of classical deterministic theory. An observable or "be-able" is thus a quantum measurable set in an appropriate event algebra. Thus, the observables in quantum cosmology are covariant quantum measurable sets. In a quantum system with a strongly positive quantum measure or decoherence functional one can construct a vector valued measure whose domain is the algebra of events or physical questions. Using results in the literature, this allows us to specify when a vector valued measure on finite time events can be extended to a measure over infinite time, or equivalently, covariant events. For the class of complex percolation dynamics we show that there is a generic obstruction to this process and that covariant observables can be constructed only for a very restricted class of dynamics. |
Description: | Open Access, Proceedings of 5th International Workshop DICE2010: Space-Time-Matter – Current Issues in Quantum Mechanics and Beyond 13–17th September 2010, Castello Pasquini, Castiglioncello, Tuscany, Italy |
URI: | http://hdl.handle.net/2289/4529 |
ISSN: | 1742-6588 1742-6596-(online) |
Alternative Location: | http://dx.doi.org/10.1088/1742-6596/306/1/012018 |
Copyright: | 2011 IOP Publishing Ltd |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2011_JourofPhy_Conference Series_306_012018.pdf | Open Access. | 454.9 kB | Adobe PDF | View/Open |
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