Functional Integration A Multipurpose Tool

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1. [a] Cécile Morette DeWitt (1972) "Feynman's Path Integral; Definition Without Limiting Procedure", Commun. Math. Phys.28, 47-67. Zbl0239.46041MR309456
2. [b] Cécile DeWitt-Morette (1974) "Feynman Path Integrals; I. Linear and Affine Techniques; II. The Feynman-Green Function", Commun. Math. Phys.37, 63-81. Zbl0287.28006MR353903
3. [c] Cécile DeWitt-Morette (1976) "The Semi-Classical Expansion", Annals of Physics97, 367-399. Zbl0328.46075MR416368
4. [d] Maurice M. Mizrahi (1979) "The semiclassical expansion of the anharmonic-oscillator propagator" J. Math. Phys. 20, 844-855. Zbl0417.70009MR531287
5. [e] C. DeWitt-Morette, A. Maheshwari and B. Nelson (1979) "Path Integration in Non relativistic Quantum Mechanics", Physics Reports50, 266-372. MR525283
6. [f] Cécile DeWitt-Morette and Tian-Rong Zhang (1983) "Path Integrals and Conservation Laws", Phys. Rev. D28, 2503-2516. MR726167
7. [g] Cécile DeWitt-Morette and Tian-Rong Zhang (1983) "Feynman-Kac formula in phase space with application to coherent-state transitions", Phys. Rev. D28, 2517-2525. MR726168
8. [h] Cécile DeWitt-Morette, Bruce Nelson and Tian-Rong Zhang (1983) "The Caustic Problem in Quantum Mechanics with Application to Scattering Theory", Phys. Rev. D28, 2526-2546. MR726169
9. [i] Cécile DeWitt-Morette and Bruce Nelson (1984) "Glories - and other degenerate critical points of the action", Phys. Rev. D29, 1663-1668. 
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11. [k] Cécile DeWitt-Morette (1984) "Feynman path integrals. From the Prodistribution Definition to the Calculation of Glory Scattering", in Stochastic Methods and Computer Techniques in Quantum Dynamics, ed. H. Mitter and L. Pittner, Acta Physica Austriaca Supp.26, 101-170. Reviewed in Zentralblatt für Mathematik1985. Zbl0549.60051MR787074
12. [l] Cécile DeWitt-Morette (1990) "Quantum Mechanics in Curved Spacetimes ; Stochastic Processes on Frame Bundles" in Quantum Mechanics in Curved Space-Time. Ed. by J. Audretsch and V. de Sabbata (Plenum Press, New-York). Zbl0729.53069MR1145039
13. See reference l.d. 
14. Michael G.G. Laidlaw and Cécile Morette DeWitt (1971) "Feynman Functional Integrals for Systems of Indistinguishable Particles" Phys. Rev. D3, 1375-1378. 
15. Computed in l.i, using results developed in l.f, l.g, l.h ; summarized in l.k. 
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20. The construction called here the "Cartier Bridge" will be published in a Note aux Compte-Rendus de l'Académie des Sciences by P. Cartier and C. DeWitt-Morette. In the years to come the authors will write a book on functional integration and test the proposed axiomatic on many problems of physical interest. 
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