Von Neumann and Heisenberg on the HUP

>>From Osher Doctorow mdoctorow@xxxxxxxxxxx

COPYRIGHT NOTICE
Von Neumann and Heisenberg on the HUP
Copyright By Owner Osher Doctorow Ph.D.
First Published 2005

Why did John von Neumann of Hungary (who later emigrated to the USA due
to Hitler's terrorism) develop a Hilbert Space self-adjoint operator
representation of quantum mechanics which turned out to imply the HUP
if one ignores probability distributions or assumes that they are
uniform (although the interpretation isn't the usual one in that case)?

Although we may never know, there is a clue. John von Neumann was
foremost a problem-solver, and the problem of how to get a space that
implies the HUP is arguably the one that he solved.

The AMS (American Mathematical Society) has several detailed papers
which define the apparatus used by von Neumann and his successors,
including "Operators on Hilbert space" by John Erdos of King's College
London (under that title or the AMS or
www.math.kcl.ac.uk/~jerdos/OpTh/FP.htm) and the lengthy (66 pages) but
valuable "Operator Theory" subtitled "Lecture Notes" or alternately
titled "Operator Theory Course Page" by Dr. E. Shargorodsky, under the
title or www.maths.sussex.ac.uk/Staff/ES/OT03/index.html.

The branch of mathematics is functional analysis, with sub-branches
operator theory and Hilbert spaces.

Osher Doctorow

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