TITLE:
Measuring a Quantum System’s Classical Information
AUTHORS:
John L. Haller Jr.
KEYWORDS:
Energy; Time; Information; Entropy; Rate; Capacity; Brownian Motion; Quantum of Action; Quantum of Information; Discrete Space; Discrete Time; Spin
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.1,
January
15,
2014
ABSTRACT: 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.