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Can QM be described by Markov chain theory?

  1. Dec 22, 2015 #1
    Can we describe the intensity of spectral lines using Markov theory? No matter what is the initial state vector of the system, the final state will be reduced to a stationary vector whose elements represent the intensity of the spectral lines.
     
  2. jcsd
  3. Dec 23, 2015 #2

    bhobba

    Staff: Mentor

  4. Dec 23, 2015 #3

    atyy

    User Avatar
    Science Advisor

    http://arxiv.org/abs/cond-mat/0502068
    From quantum mechanics to classical statistical physics: generalized Rokhsar-Kivelson Hamiltonians and the "Stochastic Matrix Form" decomposition

    "Matrices that are SMF decomposable are shown to be in one-to-one correspondence with stochastic classical systems described by a Master equation of the matrix type, hence their name. It then follows that the equilibrium partition function of the stochastic classical system partly controls the zero-temperature quantum phase diagram, while the relaxation rates of the stochastic classical system coincide with the excitation spectrum of the quantum problem."
     
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