• Principles of maximally classical and maximally realistic quantum mechanics

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      https://www.ias.ac.in/article/fulltext/pram/059/02/0337-0343

    • Keywords

       

      Maximally realistic quantum theory; phase space Bell inequalities; maximally classical trajectories in realistic quantum theory

    • Abstract

       

      Recently Auberson, Mahoux, Roy and Singh have proved a long standing conjecture of Roy and Singh: In 2N-dimensional phase space, a maximally realistic quantum mechanics can have quantum probabilities of no more than N+1 complete commuting cets (CCS) of observables coexisting as marginals of one positive phase space density. Here I formulate a stationary principle which gives a nonperturbative definition of a maximally classical as well as maximally realistic phase space density. I show that the maximally classical trajectories are in fact exactly classical in the simple examples of coherent states and bound states of an oscillator and Gaussian free particle states. In contrast, it is known that the de Broglie-Bohm realistic theory gives highly nonclassical trajectories.

    • Author Affiliations

       

      S M Roy1

      1. Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai - 400 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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