Webprints

Some of the documents here are in Adobe pdf format. They can be read with the free Adobe Acrobat Reader. Abstracts, when available, can be viewed by clicking on [abs]. A tar'd and gz'd archive of the LaTeX source, when available, can be downloaded by clicking on [src]. A more formal listing of scientific publications, with links to pdf copies, can be found here.

Papers

• Construction of Invariant Scalar Amplitudes without Kinematical Singularities... [abs] [pdf] [src]
  My infamously unpublished, 1963 Ph.D. dissertation, with Henry Stapp as advisor.

• On Stapp's Theorem [abs] [pdf] [src]
  With P. Minkowski and R. Seiler, presented at the Boulder Lorentz Group Symposium, 1964.

• A Relativistic One-Particle Wave-Equation for Arbitrary Spin and Non-zero Mass [pdf]
  While finishing graduate studies in Berkeley, I was one of several people who independently came up with the 2(2j+1)-component spin formalism. I believe that Hans Joos [Fortschr. d. Phys. 11, 65 (1962)] was the first. This is a scan of the original manuscript pages.

• The Dirac Algebra for Any Spin [abs] [pdf] [src]
  Presented at the Boulder Lorentz Group Symposium, 1964. This paper develops the Dirac algebra corresponding to the 2(2j+1)-component wave equation to a logical conclusion.

• Existence of Parity Experiments in Multiparticle Reactions [abs] [pdf] [src]
  An unpublished observation (1966) about a claim that appeared in Physical Review Letters.

• Macroscopic Causality and Permanence of Smoothness for Two-Particle Scattering [abs] [pdf] [src]
  Presented at the Fourth Boulder Conference on Particles and High Energy Physics, 1967.

• Matrix Elements of the Translation Operator: Variations on the Jost-Hepp Theorem [abs] [pdf] [src]
  A 1970 preprint which covers large translations outside the velocity cone for C^∞ vectors and spacelike translations for analytic vectors. Never submitted for publication, although I think it has some useful stuff. R. Seiler and I had planned a sequel with our independent results for decrease inside the velocity cone, but we never got around to it.

• Euclidean Fermi Fields with a Hermitean Feynman-Kac-Nelson Formula, II [abs] [pdf] [src]
  An unpublished 1974 preprint proposing a solution to the Euclidean fermion doubling problem that overcame a problem with local interactions in an earlier attempt of mine. It was rejected by Communications in Mathematical Physics because the referee felt it unlikely that the theory could be renormalizable, due to an extra power of momentum in the Euclidean Dirac two-point function. Although I thought it quite possible that the same structure that eliminated the doubling might help the renormalization, I was too down at the time to pursue it, and never got around to it again.

• Effective Criticality and Stability of the Double Well Coincident Pair Configuration [abs] [pdf] [src]
  
• Computational Solution for the Double Well Nondilute Pair Configuration [abs] [pdf] [src]
  This pair of papers was submitted to Nuclear Physics in 1989, and basically accepted with the proviso that they be combined into one. I actually did that, but stuff intervened, and I never resubmitted. As far as I know, the idea in these papers is not bad. It's interesting in retrospect that the computational part was really impractical without a mainframe system (MTS) at the time it was originally done (February, 1983 -- July, 1984).

• The Elastic Energy-Momentum Tensor in Special Relativity [abs] [pdf] [src]
  Work I did mostly in Summer, 1972, with the aim of making an elastically bound model of the classical point electron. I didn't know at the time that Bryce DeWitt had already developed the theory of elasticity in general relativity. In spite of his prior art, my approach seemed pretty clean, so I published it as a pedagogical paper [Annals of Physics 196, no. 2, (1989) 345-360]. Unfortunately, I was also unaware of work done in the interim that should have been cited, which was sharply pointed out by one of the experts, Gérard A. Maugin, in his review of the paper for Mathematical Reviews (MR1027664).

• The Classical Relativistic Elastic String [abs] [pdf] [src]
  This 1974 article was neither circulated as a preprint nor submitted for publication. I was never much attracted by dual string theory, which was prominent then and has been ever since, in spite of the elegance of the model and the appealing audacity of its approach to the problem of quantization by increasing the number of spacetime dimensions. But I was curious about the possibility of quantizing nondual string models in conventional spacetime dimensions. The article develops a possible foundation for that. While it doesn't attempt actual quantization, I think it does a pedagogically clean job of laying out a classical, canonical theory of relativistic elastic strings.

• Schoonschip '91 [abs] [pdf]
  With M. Veltman.

Notes

• Summary of Local Baker-Wightman Invariance for Euclidean Functional Field Equations [intro] [pdf] [src]
  G. A. Baker and A. S. Wightman introduced an idea for enlarging the class of solutions of Euclidean functional field equations for Φ⁴ field theories, to possibly avoid their triviality in four dimensions. As they pointed out, it violated the cluster property. These notes summarize my extension of their idea, which aims to restore the cluster property.

• Precession of the Perihelion of Mercury [abs] [pdf] [src]
  Notes for a pair of lectures on the calculation of the precession of Mercury in special relativity, contrasted with Feynman's general relativity approach.

• One-Photon States and Lorentz Invariance [pdf] [src]
  Fairly systematic notes from Physics 621 giving a conceptual description of Lorentz/Poincaré covariance for photons, from the point of view of the radiation gauge.

• Review notes on waves [pdf]
  From Physics 242, Introduction to Modern Physics.

• Introduction to Lorentz Spinors [pdf]
  Very preliminary, only some notes on the homogeneous Lorentz group and SL(2,C) are included here.

• SL(2,C) Exponentiation Counterexample [pdf] [src]
  A set of examples of elements of SL(2,C) that are not exponentials of elements of its Lie algebra.

• Notes on the Umezawa-Kållén-Lehmann Representation and the Feynman Propagator [pdf] [src]
  Systematics of sharply defined propagators for any spin and nonzero mass.

• Weak Asymptotic Causality and the Haag-Ruelle S Matrix: Summary of Results [pdf]
  Scanned pages of a handwritten manuscript describing results from unpublished work we did in the late 1960's.

• Observability of the S matrix [txt]
  Proof of the well-known fact that scattering transition probablities determine the S matrix, up to overall phases in superselection sectors.

Schoonschip manual

• Schoonschip a program for symbol handling [pdf]
  By M. Veltman, edited by DNW. LaTeX'd and indexed manual for the '91 version of Veltman's Schoonschip.

Articles related to Forth

• Compatible Structures in ANS Forth [pdf]
• Dynamic-String Words [html]
• A Model for Dynamic Strings [html]
• ^Forth Words [html] (a dialect of Forth for automatic translation to C)

• Lorentz Group Formulas [pdf]
• Lorentz force: continuous charge [pdf]
• Formulas for classical electrodynamics [pdf]
• Distributional versus integrable derivatives, and delta functions [pdf]
• Direct Integrals and Improper Dirac States [pdf]
• Notes on C^∞ and analytic vectors, and unitary representations of the Poincaré group [pdf]
• Raw notes on closed operators [pdf]

Latex packages

• Physics Math [sty]
• Physics Notes [sty]

Scripts

• Article Style Sheet [css]
• Table of Contents [js]
• Physics Math [js]
• Article Example [html]