Images used in this web site Copyright © University of Minnesota Geometry Center

Joseph F. Johnson

Assistant Professor

B.S., Haverford College, 1977.
Ph.D., M.I.T., 1983

Email: you may send e-mail
Office: 518 Jeffery Hall
Phone: (613) 533-2427
Fax: (613) 533-2964

Research Interests

My research interests are in the foundations of physical probability. I use statistical concepts such as the auto-correlation of a time series to define probability in terms of physically more basic concepts. This has applications to turbulence and emergent order.

This led to a publication on the problem in the axiomatics of Quantum Mechanics which Wigner called Quantum Duality, although it is now more usually called Quantum Measurement.

The simplest rigorous, non-circular proof that d(cos x) = - sin x at the Math Department .

The influential paper by H. S. Green in 1958 on quantum measurement, zipped postscript. "Observation in Quantum Mechanics," Nuovo Cimento vol. 9 (1958) no. 5, pp. 880-889. Pages 1-2 pages 3-4 pages 5-6 pages 7-8 pages 9-10

An interesting list of papers on this hot topic of Quantum Information, maintained by the Italian national research centre on Quantum Computers.

A notebook of to-do articles and topics of a Quantum Statistician at Michigan.

J. S. Bell's trenchant critique of the notion of Quantum Measurement, which, specifically, is what I have addressed and tried to answer. .

Selected Publications

Outline of undergraduate Ordinary Differential Equations.

Not completely unconnected is my research on the relations between Social Justice and Economic Theory. This is a resumé of the book, as yet unpublished .