Abstract
Consider a nonrelativistic particle of unit mass constrained to move without friction on a smooth curved surface.
Work supported in part by a grant from the U.S. National Science Foundation. Computer services were provided by the Pittsburgh Supercomputing Center, Pittsburgh, Pennsylvania, the National Center for Supercomputing Applications, Champaign, Illinois, the Air Force Weapons Laboratory, Kirtland Air Force Base, New Mexico, and the Center for High Performance Computing, University of Texas at Austin. During part of this research the author was a guest of the Joint Institute for Nuclear Research, Dubna, U.S.S.R., and gratefully acknowledges assistance from D. V. Shirkov, G. V. Efimov, G. A. Vilkovisky, V. G. Kadishevsky, and N. N. Bogolubov.
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References
DeWitt, B. S., 1984, The Spacetime Approach to Quantum Field Theory, in: “Relativity, Groups and Topology II,” B. DeWitt and R. Stora, eds., Elsevier Science Publishers, North Holland.
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© 1990 Springer Science+Business Media New York
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DeWitt, B.S. (1990). Nonlinear Sigma Models in 4 Dimensions: A Lattice Definition. In: Audretsch, J., de Sabbata, V. (eds) Quantum Mechanics in Curved Space-Time. NATO ASI Series, vol 230. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3814-1_14
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DOI: https://doi.org/10.1007/978-1-4615-3814-1_14
Publisher Name: Springer, Boston, MA
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