•  118
    Joint probabilities of noncommuting operators and incompleteness of quantum mechanics
    with A. O. Barut and Z. Marić
    Foundations of Physics 18 (10): 999-1012. 1988.
    We use joint probabilities to analyze the EPR argument in the Bohm's example of spins.(1) The properties of distribution functions for two, three, or more noncommuting spin components are explicitly studied and their limitations are pointed out. Within the statistical ensemble interpretation of quantum theory (where only statements about repeated events can be made), the incompleteness of quantum theory does not follow, as the consistent use of joint probabilities shows. This does not exclude a …Read more
  •  25
    De Broglian probabilities in the double-slit experiment
    with Z. Marić and J. P. Vigier
    Foundations of Physics 22 (11): 1325-1344. 1992.
    A new probability interpretation of interference phenomena in the double-slit experiment is proposed. It differs from the standard interpretation (based on elementary events happening in complementary, mutually exclusive setups—arrivals of waves to the screen when one of the slits is closed) which encounters the “paradox” that the law of total probability is violated. This new interpretation is free of such difficulties and paradoxes since it is based on compatible elementary events (events happ…Read more
  •  18
    A search for the classical model of spin
    with Z. Marić
    Foundations of Physics 23 (5): 819-835. 1993.
    The study of the motion of the magnetic top—a classical spherical top which carries magnetic moment proportional to its angular momentum, is motivated and inspired by the quantum mechanical relation between spin angular momentum and spin magnetic moment. Inversely, the magnetic top, taken to be the classical model of quantum spin, implies the description of spin states by probability amplitudes of the top orientation angles, instead of by Pauli spinors. This opens new possibilities for the inter…Read more