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  • 1
    Electronic Resource
    Electronic Resource
    Exact reduced density matrices for a model problem (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 3105-3108 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The reduced density matrices of arbitrary order for the boson problem of N particles, each attracted harmonically to a central point and interacting with each other harmonically, are analytically calculated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526688
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  • 2
    Electronic Resource
    Electronic Resource
    EPRB and the Wigner Distribution for Spin-1/2 Particles (1986)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 480 (1986), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1986.tb12415.x
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  • 3
    Electronic Resource
    Electronic Resource
    Joint Quantum Probabilities and the Uncertainty Principle (1986)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 480 (1986), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1986.tb12432.x
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Numerical experiments on Lynden-Bell's statistics (1971)
    Springer
    Astrophysics and space science 13 (1971), S. 397-410 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We performed computer experiments on 13 different initial configurations of one-dimensional self-gravitating systems. The three most and the three least violently relaxed systems were compared with the predictions of Lynden-Bell's statistical mechanics. The agreement between the experimental results and the theoretical predictions became worse as the relaxation became more violent. While all six systems were theoretically nondegenerate, the violent systems invariably flung out a halo that took most of the energy, leaving behind a low-energy degenerate core.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00649169
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  • 5
    Electronic Resource
    Electronic Resource
    Conditional expectation values in quantum mechanics (1987)
    Springer
    Foundations of physics 17 (1987), S. 561-574 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The general question of defining the expectation value of an operator for a fixed value of another noncommuting observable is considered and explicit expressions are derived. Due to the noncommutivity of operators a unique definition is not possible, and we consider different possible expressions. Special cases which have previously been considered in the literature are shown to be derivable from the methods presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01882787
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  • 6
    Electronic Resource
    Electronic Resource
    Rules of probability in quantum mechanics (1988)
    Springer
    Foundations of physics 18 (1988), S. 983-998 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We show that the quantum mechanical rules for manipulating probabilities follow naturally from standard probability theory. We do this by generalizing a result of Khinchin regarding characteristic functions. From standard probability theory we obtain the methods usually associated with quantum theory; that is, the operator method, eigenvalues, the Born rule, and the fact that only the eigenvalues of the operator have nonzero probability. We discuss the general question as to why quantum mechanics seemingly necessitates different methods than standard probability theory and argue that the quantum mechanical method is much richer in its ability to generate a wide variety of probability distributions which are inaccessibe by way of standard probability theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01909934
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  • 7
    Electronic Resource
    Electronic Resource
    Generalization of the Gram-Charlier/Edgeworth Series and Application to Time-Frequency Analysis (1998)
    Springer
    Multidimensional systems and signal processing 9 (1998), S. 363-372 
    Details
    ISSN: 1573-0824
    Keywords: Gram-Charlier Series ; Edgeworth Series ; probability theory ; time-frequency analysis ; characteristic function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract We derive a general equation relating probability densities and as special cases we the obtain Gram-Charlier and Edgeworth series. This allows us to generalize these methods and clarify a number of issues pertaining to both probability theory and time-frequency analysis. In particular we show how the Gram-Charlier and Edgeworth series are related to the kernel method of time-frequency analysis. The approach allows us to construct densities that satisfy given constraints such as joint moments or conditional moments. Also, we show that the kernel has to be signal dependent and that to obtain a proper distribution it should be the ratio of two characteristic functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008454223082
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  • 8
    Electronic Resource
    Electronic Resource
    Covariance for quasi-probability distributions (1976)
    Springer
    Foundations of physics 6 (1976), S. 739-741 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A criterion is given for characterizing quantum mechanical joint distributions that have the same covariance of position and momentum.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00708952
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  • 9
    Electronic Resource
    Electronic Resource
    Momentum spread: Amplitude and current contributions (1990)
    Springer
    Foundations of physics 20 (1990), S. 1455-1473 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We show that the spread of momentum can be broken up into two terms, one that depends only on the change in amplitude and the other which depends only on the deviations of current from the average momentum. We present a method for measuring the relative contributions of each and interpret each contribution in terms of local quantities. A generalization for arbitrary operators is given. For the case of the Hamiltonian, the local value of energy is shown to yield the quantum potential as defined by Bohm.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01883518
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  • 10
    Electronic Resource
    Electronic Resource
    Henry Margenau: Physicist-philosopher (1992)
    Springer
    Foundations of physics 22 (1992), S. 653-656 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01889670
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