In the governing thought, I find an equivalence between
the classical information in a quantum system and the integral of that system’s
energy and time, specifically , in natural units. I solve this relationship in four
ways: the first approach starts with the Schrodinger Equation and applies the
Minkowski transformation; the second uses the Canonical commutation relation;
the third through Gabor’s analysis of the time-frequency plane and Heisenberg’s
uncertainty principle; and lastly by quantizing Brownian motion within the
Bernoulli process and applying the Gaussian channel capacity. In support I give
two examples of quantum systems that follow the governing thought: namely the
Gaussian wave packet and the electron spin. I conclude with comments on the
discretization of space and the information content of a degree of freedom.
Cite this paper
J. Haller Jr., "Measuring a Quantum System’s Classical Information," Journal of Modern Physics
, Vol. 5 No. 1, 2014, pp. 8-16. doi: 10.4236/jmp.2014.51002
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