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Applications of symbol manipulation in theoretical physics

Published: 23 March 1971 Publication History

Abstract

This paper surveys the applications of symbolic computation techniques to problems in theoretical physics. Particular emphasis is placed on applications in quantum electrodynamics where the most activity has occurred.

References

[1]
R. P. Feynman, Space-Time Approach to Quantum Electrodynamics, Phys. Rev. 76, 769 (1949).
[2]
J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).
[3]
J. Kahane, An Algorithm for Reducing Contracted Products of &ggr;-matrices, Journ. Math. Phys. 9, 1732 (1968).
[4]
A. C. Hearn, P. K. Kuo, and D. R. Yennie, Radiative Corrections to an Electron-Positron Scattering Experiment, Phys. Rev. 187, 1950 (1969).
[5]
A. J. Dufner, Proceedings of the Colloquium on Computational Methods in Theoretical Physics, Marseilles, 1970.
[6]
M. Veltman, SCHOONSCHIP, A CDC 6600 Programme for Symbolic Evaluation of Feynman Diagrams, CERN Preprint (1965), unpublished.
[7]
Jon Mathews, California Institute of Technology, private communication.
[8]
R. M. Wilcox, A Computer Method for Calculating Dirac Traces with Applications to Quantum Electrodynamics, PhD. thesis, University of Colorado, 1961.
[9]
H. J. Kaiser, Trace Calculation on Electronic Computer, Nucl. Phys. 43, 620 (1963).
[10]
M. J. Levine, Dirac Matrix and Tensor Algebras on a Digital Computer, Journ. Comp. Phys. 1, 454 (1966).
[11]
J. A. Campbell, A Short Program for Dirac Matrix Algebra, Journ. Comp. Phys. 2, 412 (1968).
[12]
S. M. Swanson, Computer Algorithms for Dirac Algebra, Journ. Comp. Phys. 4, 171 (1969).
[13]
A. C. Hearn, REDUCE 2: A System and Language for Algebraic Manipulation, Proceedings of the Second Symposium on Symbolic and Algebraic Manipulation, International Hotel, Los Angeles, California, March 23-25, 1971.
[14]
J. A. Campbell and A. C. Hearn, Symbolic Analysis of Feynman Diagrams by Computer, Journ. Comp. Phys. 5, 280 (1970).
[15]
J. Calmet and M. Perrottet, An Attempt to Evaluate Renormalized Radiative Corrections by Computer, Journ. Comp. Phys., April 1971.
[16]
J. Moses, Algebraic Simplification, A Guide to the Perplexed, Proceedings of the Second Symposium on Symbolic and Algebraic Manipulation, International Hotel, Los Angeles, California, March 23-25, 1971.

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cover image ACM Conferences
SYMSAC '71: Proceedings of the second ACM symposium on Symbolic and algebraic manipulation
March 1971
464 pages
ISBN:9781450377867
DOI:10.1145/800204
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 23 March 1971

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