175(14): A New Equation of Motion of Quantum Mechanics

Feed: Dr. Myron Evans
Posted on: Sunday, March 06, 2011 5:30 AM
Author: metric345
Subject: 175(14): A New Equation of Motion of Quantum Mechanics

This is Eq. (9) of the attached note, and produces the quantum equivalent of one of Hamilton’s equations of motion, Eq. (22). The Schroedinger postulate is derived for the first time from a tautology:

d<x> / dx = 1 , where <x> = x

given the definition of expectation value in quantum mechanics. Therefore [x, p] psi = i h bar psi is also a tautology which should not be elevated incorrectly into a principle in the Copenhagen manner. A tautology is a statement of the self-evident, in this case dx / dx = 1. Sir William Rowan Hamilton was one of my predecessors on the Civil List, and Astronomer Royal for Ireland, professor and fellow of Trinity College, Dublin, where I am sometime visiting academic.

a175thpapernotes14.pdf

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