15 found
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Leon Cohen [9]Leonardo G. Cohen [4]Leonora D. Cohen [1]Leon W. Cohen [1]
  1. Can Quantum Mechanics Be Formulated as a Classical Probability Theory?Leon Cohen - 1966 - Philosophy of Science 33 (4):317-322.
    It is shown that quantum mechanics cannot be formulated as a stochastic theory involving a probability distribution function of position and momentum. This is done by showing that the most general distribution function which yields the proper quantum mechanical marginal distributions cannot consistently be used to predict the expectations of observables if phase space integration is used. Implications relating to the possibility of establishing a "hidden" variable theory of quantum mechanics are discussed.
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  2.  28
    Modulating Reconsolidation: A Link to Causal Systems-Level Dynamics of Human Memories.Marco Sandrini, Leonardo G. Cohen & Nitzan Censor - 2015 - Trends in Cognitive Sciences 19 (8):475-482.
  3.  9
    Non-Invasive Brain Stimulation in Neurorehabilitation: Local and Distant Effects for Motor Recovery.Sook-Lei Liew, Emilliano Santarnecchi, Ethan R. Buch & Leonardo G. Cohen - 2014 - Frontiers in Human Neuroscience 8.
  4.  44
    Descartes and Henry More on the Beast-Machine—A Translation of Their Correspondence Pertaining to Animal Automatism.Leonora D. Cohen - 1936 - Annals of Science 1 (1):48-61.
  5.  37
    Joint Wigner Distribution for Spin-1/2 Particles.Leon Cohen & Marlan O. Scully - 1986 - Foundations of Physics 16 (4):295-310.
    The Wigner distribution has proven to be a useful tool in many quantum problems requiring a joint distribution of position and momentum. In the present paper we develop a joint distribution for spin components within the spirit of the Wigner distribution. This distribution provides an insight into the quantum theory of measurement. We also discuss how one may write joint distributions for two arbitrary noncommuting operators.
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  6.  80
    Rules of Probability in Quantum Mechanics.Leon Cohen - 1988 - Foundations of Physics 18 (10):983-998.
    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 (...)
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  7.  16
    Involvement of Primary Motor Cortex in Motor Imagery and Mental Practice.Mark Hallett, Jordan Fieldman, Leonardo G. Cohen, Norihiro Sadato & Alvaro Pascual-Leone - 1994 - Behavioral and Brain Sciences 17 (2):210-210.
  8.  12
    Momentum Spread: Amplitude and Current Contributions. [REVIEW]Leon Cohen - 1990 - Foundations of Physics 20 (12):1455-1473.
    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 (...)
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  9.  30
    Henry Margenau: Physicist-Philosopher. [REVIEW]Leon Cohen & James L. Park - 1992 - Foundations of Physics 22 (5):653-656.
  10.  22
    The Structure of the Real Number System.Leon W. Cohen & Gertrude Ehrlich - 1969 - Journal of Symbolic Logic 34 (4):642-643.
  11.  3
    The Intersection of Offline Learning and Rehabilitation.Brian P. Johnson, Leonardo G. Cohen & Kelly P. Westlake - 2021 - Frontiers in Human Neuroscience 15.
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  12.  18
    Covariance for Quasi-Probability Distributions.Leon Cohen - 1976 - Foundations of Physics 6 (6):739-741.
    A criterion is given for characterizing quantum mechanical joint distributions that have the same covariance of position and momentum.
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  13.  9
    Multipart Wave Functions.Leon Cohen - 1992 - Foundations of Physics 22 (5):691-711.
    Some wave functions separate into two or more distinct regions in phase space. Each region is characterized by a trajectory and a spread about that trajectory. The trajectory is the quantum mechanical current. We show that these regions correspond to parts of the wave function and that these parts are generally nonorthogonal.
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  14.  19
    Conditional Expectation Values in Quantum Mechanics.Leon Cohen & Chongmoon Lee - 1987 - Foundations of Physics 17 (6):561-574.
    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.
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  15.  10
    Joint Probability Distributions in Quantum Mechanics.Leon Cohen - 1973 - In C. A. Hooker (ed.), Contemporary Research in the Foundations and Philosophy of Quantum Theory. Boston: D. Reidel. pp. 66--79.
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