@article{PMIHES_1998__S88__53_0, author = {Dewitt-Morette, C\'ecile}, title = {Des ponts}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {53--66}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {S88}, year = {1998}, mrnumber = {1667899}, zbl = {1002.58001}, language = {fr}, url = {http://archive.numdam.org/item/PMIHES_1998__S88__53_0/} }
Dewitt-Morette, Cécile. Des ponts. Publications Mathématiques de l'IHÉS, Tome S88 (1998), pp. 53-66. http://archive.numdam.org/item/PMIHES_1998__S88__53_0/
[LS1] A Path Integral for Spin, Phys. Rev. 176 (1968), p. 1558-1569. Cet article est en grande partie la publication de la thèse du Ph. D. de l'auteur . | MR
,[LS2] Approximate Topology, J. Math. Phys. 12 (1971), p. 304-308. Ce titre n'encourage malheureusement pas la lecture de l'article.
,[L-D] Feynman Functional Integrals for Systems of Indistinguishable Particles, Phys. Rev. D.3 (1971), p. 1375-1378.
and ,[B-L-S-W] The Ancestry of the anyon, Phys. Today, p. 90-91 (Aug. 1990).
, , , and ,[I-S] Inequivalent Quantizations and Fundamentally Perfect Spaces, Phys. Rev. Lett. 60 (1988), p. 481-483. | MR
and ,[S-I-I] Topological and algebraic aspects of quantization : symmetries and statistics, Ann. Inst. Henri Poincaré 49 (1988 ), p. 387-396. | EuDML | Numdam | MR
, , and ,[EC] La Théorie des Spineurs, Hermann ( 1966 ). | Zbl
,[M-S] Characteristic classes, Princeton University Press (1974). | MR | Zbl
and ,[B-D] Relativistic Quantum Mechanics (1964), Relativistic Quantum Fields (1965 ) (McGraw-Hill Co, New York). | MR | Zbl
and ,[S-W] PCT, Spin and Statistics, and all that (W.A. Benyamin, Inc. New York , 1964). | MR | Zbl
and ,[A-B-S] Clifford Modules , Topology , Vol. 3 ( 1964), Suppl. 1, p. 3-38. | MR | Zbl
, , and ,[MK] Algèbres de Clifford et K-Théorie, Annales Sci. Éc. Normale, Supp. 4e série 1 (1968), p. 161-270. | Numdam | MR | Zbl
,[CB-D] Analysis, Manifolds and Physics. Part II: 92 Applications, p. 17-27 (North-Holland , Amsterdam, 1980- 1989). | MR | Zbl
and ,[C-D] Where the sign of the metric makes a difference, Physical Review Letters 60 (1988), p. 1599-1601. | MR
and ,[D-G] One Spin group, two Pin groups, dans Symposia Gaussiana, Ed. M. Behara; Series A Mathematics and Theoretical Physics, Ed. R.G. Lintz, p. 341-382 (Institutum Gaussianum, P.O. Box 1113, Station A, Toronto, ON M5W 1 G6, Canada, 1990). | MR
and ,[D-D] The Pin Groups in Physics, Physical Review D 41 (1990), p.1901-1907. | MR
and ,[D-G-K] Spin or Pin?, manuscript, http ://godel.ph.utexas.edu/Center/Papers.html ( 1993 ).
, , and ,[FD] Feynman at Cornell, Physics To-Day 42 (1949), p. 36.
,[CM] On the Definition and Approximation of Feynman's Path Integrals, Phys. Rev. 81 (1951), p. 848-852. | MR | Zbl
,[WP] Ausgewählte Kapitel aus der Feldquantisierung (ausgearbeitet von U. Hochstrasser und M.R. Schafroth, ETH 1950/1951.
,[BD] Dynamical Theory in Curved Spaces. I. A review of the Classical and Quantum Action Principles, Rev. Mod. Phys. 29, p. 377-397 (1957).Eq. (7.8) est la forme covariante de l'équation (172) de Pauli. Cet article mentionne, à tort, que l'approche de Pauli à la théorie de Feynman a pour base le travail de Van Vleck. En fait, le point de départ du travail de Pauli (son eq. 172) est l'équation obtenue par Morette et Van Hove. | MR | Zbl
,[CD] L'intégrale fonctionnelle de Feynmann. Une introduction , Ann. Inst. Henri Poincaré XI, p. 153-206 (1969).
,[NB] Integration, Chapitre IX (Intégration sur les espaces topologiques séparés ) Hermann, Paris ( 1969). | MR | Zbl
,[D-E-N-S] A stochastic scheme for constructing solutions of the Schrôdinger equations, Ann. Inst. Henri Poincaré XXXII, Section A, p. 327-341 (1980). | Numdam | MR | Zbl
, , , and ,[C-D] A new perspective on functional integration, J. Math. Phys. 36(1995), p. 2237-2312. | MR | Zbl
and ,[C-S] The story of Van Vleck's and Morette-Van Hove's determinants, Helv. Phys. Acta, 69 (1996), p. 637-654. | Zbl
and ,[AM] Scalar curvature factor in the Schrôdinger equation and scattering on a curved surface, Phys. Rev. A 54 (1996), p. 1165-1170. | MR
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