Glories—and other degenerate points of the action

Cécile DeWitt-Morette; Bruce L. Nelson

doi:10.1103/PhysRevD.29.1663

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Glories—and other degenerate points of the action

Cécile DeWitt-Morette

Bruce L. Nelson^*

Department of Physics and Center for Relativity, The University of Texas at Austin, Austin, Texas 78712

Physics Department, University of Utah, Salt Lake City, Utah 84112

^*Present address: Bell Laboratories, WB 1A-216, Crawfords Corner Road, Holmdel, New Jersey 07733.

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Phys. Rev. D 29, 1663 – Published 15 April, 1984

DOI: https://doi.org/10.1103/PhysRevD.29.1663

Abstract

We present a path-integral computation of the cross section at, and near, glory angles. We treat glory as an example of a generalized WKB method for solving problems where the critical points of the action are degenerate. We then classify the degeneracies of the rainbow, glory, and conservation-law type.

References (10)

Y. Choquet-Bruhat and C. DeWitt-Morette, Analysis, Manifolds and Physics, revised edition (North-Holland, Amsterdam, 1982)
L. S. Schulman, Phys. Rev. Lett. 49, 599 (1982)
C. DeWitt-Morette, B. Nelson, and T.-R. Zhang, Phys. Rev. D 28, 2526 (1983)
C. DeWitt-Morette and T.-R. Zhang, Phys. Rev. D 28, 2503 (1983)
L. D. Landau and E. M. Lifshitz, Mechanics (Addison-Wesley, Reading, Massachusetts, 1960), p. 49
L. I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1968)
C. DeWitt-Morette and T.-R. Zhang, Phys. Rev. D 28, 2517 (1983)
K. W. Ford and J. A. Wheeler, Ann. Phys. (N.Y.) 7, 259 (1959)
P. Pechukas, Phys. Rev. 181, 166 (1969) W. V. Berry and K. E. Mount, Rep. Prog. Phys. 35, 315 (1972) L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1980) S. Levit and U. Smilansky, Ann. Phys. (N.Y.) 108, 165 (1977)
C. DeWitt-Morette, ZIF Universität Bielfield report (unpublished)

[c1] Y. Choquet-Bruhat and C. DeWitt-Morette, Analysis, Manifolds and Physics, revised edition (North-Holland, Amsterdam, 1982)

[c2] L. S. Schulman, Phys. Rev. Lett. 49, 599 (1982)

[c3] C. DeWitt-Morette, B. Nelson, and T.-R. Zhang, Phys. Rev. D 28, 2526 (1983)

[c4] C. DeWitt-Morette and T.-R. Zhang, Phys. Rev. D 28, 2503 (1983)

[c5] L. D. Landau and E. M. Lifshitz, Mechanics (Addison-Wesley, Reading, Massachusetts, 1960), p. 49

[c6] L. I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1968)

[c7] C. DeWitt-Morette and T.-R. Zhang, Phys. Rev. D 28, 2517 (1983)

[c8] K. W. Ford and J. A. Wheeler, Ann. Phys. (N.Y.) 7, 259 (1959)

[c9] P. Pechukas, Phys. Rev. 181, 166 (1969) W. V. Berry and K. E. Mount, Rep. Prog. Phys. 35, 315 (1972) L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1980) S. Levit and U. Smilansky, Ann. Phys. (N.Y.) 108, 165 (1977)

[c10] C. DeWitt-Morette, ZIF Universität Bielfield report (unpublished)

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Glories—and other degenerate points of the action

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