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1978, 1979, 1980,

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1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000,

2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010.

2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020.






Publications in 1997




  1. Aerts, D. and Aerts, S. (1997). Application of quantum statistics in psychological studies of decision processes. In B. C. van Fraassen (Ed.), Topics in the Foundation of Statistics, Kluwer Academic, Dordrecht.

  2. Aerts, D. and Aerts, S. (1997). The hidden measurement formalism: quantum mechanics as a consequence of fluctuations on the measurement. In M. Ferrero and A. van der Merwe (Eds.), New Developments on Fundamental Problems in Quantum Physics (pp. 1-6). Dordrecht: Kluwer Academic.

  3. Aerts, D., Aerts, S., Coecke, B., D'Hooghe, B., Durt, T. and Valckenborgh, F. (1997). A model with varying fluctuations in the measurement context. In M. Ferrero and A. van der Merwe (Eds.), New Developments on Fundamental Problems in Quantum Physics (pp. 7-9). Dordrecht: Kluwer Academic.

  4. Aerts, D., Coecke, B., D'Hooghe, B. and Valckenborgh, F. (1997). A mechanistic macroscopical physical entity with a three dimensional Hilbert space quantum description. Helvetica Physica Acta, 70, pp. 793-802. Archive reference and link: http://uk.arxiv.org/abs/quant-ph/0111074.

    Abstract: It is sometimes stated that Gleason's theorem prevents the construction of hidden-variable models for quantum entities described in a more than two-dimensional Hilbert space. In this paper however we explicitly construct a classical (macroscopical) system that can be represented in a three-dimensional real Hilbert space, the probability structure appearing as the result of a lack of knowledge about the measurement context. We briefly discuss Gleason's theorem from this point of view.

  5. Aerts, D., Coecke, B., Durt, T. and Valckenborgh, F. (1997). Quantum, classical and intermediate I: a model on the poincare sphere. Tatra Mountains Mathematical Publications, 10, p. 225.

    Abstract: Following an approach, that we have called the hidden-measurement approach, where the probability structure of quantum mechanics is explained as being due to the presence of fluctuations on the measurement situations, we introduce explicitly a variation of these fluctuations, with the aim of defining a procedure for the classical limit. We study a concrete physical entity and show that for maximal fluctuations the entity is described by a quantum model, isomorphic to the model of the spin of a spin 1/2 quantum entity. For zero fluctuations we find a classical structure, and for intermediate fluctuations we find a structure that is neither quantum nor classical, to which we shall refer as the 'intermediate' situation.

  6. Aerts, D., Coecke, B., Durt, T. and Valckenborgh, F. (1997). Quantum, classical and intermediate II: the vanishing vector space structure. Tatra Mountains Mathematical Publications, 10, p. 241.

    Abstract: We put forward an approach where physical entities are described by the set of their states, and the set of their relevant experiments. In this framework we will study a general entity that is neither quantum nor classical. We show that the collection of eigenstate sets forms a closure structure on the set of states. We also illustrate this framework on a concrete physical example, the epsilon-example. this leads us to a model for a continuous evolution from the linear closure in vector space to the standard topological closure.

  7. Aerts, D., Veretennicoff, I. (1997). Niet-ruimtelijkheid als werktuig. In J. Van Pelt, Grenzeloze Wetenschap: Dertig Gesprekken met Vlamingen over Onderzoek. Leuven-Apeldoorn: Garant.






1978, 1979, 1980,

1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990,

1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000,

2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010.

2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020.




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Last modified November 5, 2009, by Diederik Aerts