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  • 1
    Electronic Resource
    Electronic Resource
    Effect Algebras and Para-Boolean Manifolds (2000)
    Springer
    International journal of theoretical physics 39 (2000), S. 551-564 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that every effect algebra can be represented as a pasting of a systemwhere each element is the range of an unsharp observable. To describe the rangeof an unsharp observable algebraically, the notion of a “para-Booleanquasi-effect algebra” is introduced. Some intrinsic compatibility conditions ensuringcommensurability of effects are studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1003621300998
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A fuzzy dynamic semantics for quantum histories (1997)
    Springer
    Soft computing 1 (1997), S. 137-142 
    Details
    ISSN: 1433-7479
    Keywords: Key words Fuzzy quantum logics ; quantum histories
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s005000050014
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Partial and unsharp quantum logics (1994)
    Springer
    Foundations of physics 24 (1994), S. 1161-1177 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The total and the sharp character of orthodox quantum logic has been put in question in different contexts. This paper presents the basic ideas for a unified approach to partial and unsharp forms of quantum logic. We prove a completeness theorem for some partial logics based on orthoalgebras and orthomodular posets. We introduce the notion of unsharp orthoalgebra and of generalized MV algebra. The class of all effects of any Hilbert space gives rise to particular examples of these structures. Finally, we investigate the relationship between unsharp orthoalgebras, generalized MV algebras, and orthomodular lattices.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02057862
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  • 4
    Electronic Resource
    Electronic Resource
    Pre-BZ and Degenerate BZ Posets: Applications to Fuzzy Sets and Unsharp Quantum Theories (2000)
    Springer
    Foundations of physics 30 (2000), S. 1765-1799 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Two different generalizations of Brouwer–Zadeh posets (BZ posets) are introduced. The former (called pre-BZ poset) arises from topological spaces, whose standard power set orthocomplemented complete atomic lattice can be enriched by another complementation associating with any subset the set theoretical complement of its topological closure. This complementation satisfies only some properties of the algebraic version of an intuitionistic negation, and can be considered as, a generalized form of a Brouwer negation. The latter (called degenerate BZ poset) arises from the so-called special effects on a Hilbert space. It is shown that the standard Brouwer negation for effect operators produces a degenerate BZ poset with respect to the order induced from the partial sum operation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026462620062
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    Paper (German National Licenses)
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