Physique quantique et formules de localisation

E. Combet

Publications du Département de mathématiques (Lyon) (1985)

  • Volume: 5/B, Issue: 5B, page 35-43
  • ISSN: 0076-1656

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Combet, E.. "Physique quantique et formules de localisation." Publications du Département de mathématiques (Lyon) 5/B.5B (1985): 35-43. <http://eudml.org/doc/273478>.

@article{Combet1985,
author = {Combet, E.},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {classical formulas of differential geometry; Morse; Poincaré-Hopf; Gauss-Bonnet; index formulae; Lagrangian geometrical system; Euclidean measure},
language = {fre},
number = {5B},
pages = {35-43},
publisher = {Université Claude Bernard - Lyon 1},
title = {Physique quantique et formules de localisation},
url = {http://eudml.org/doc/273478},
volume = {5/B},
year = {1985},
}

TY - JOUR
AU - Combet, E.
TI - Physique quantique et formules de localisation
JO - Publications du Département de mathématiques (Lyon)
PY - 1985
PB - Université Claude Bernard - Lyon 1
VL - 5/B
IS - 5B
SP - 35
EP - 43
LA - fre
KW - classical formulas of differential geometry; Morse; Poincaré-Hopf; Gauss-Bonnet; index formulae; Lagrangian geometrical system; Euclidean measure
UR - http://eudml.org/doc/273478
ER -

References

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  1. [1] L. Bonora et P. Cotta-Ramusino : Some remarks on BRS Transformations... Commun. Math. Phys.87, 589-603 (1983). Zbl0521.53064MR691046
  2. [2] M.F. Atiyah and I.M. Singer : Dirac operators coupled to vector potential. Proc. Natl. Acad. Sci.USA Vol. 81, pp. 2597-2600, April 1984. Zbl0547.58033MR742394
  3. [3] E. Witten : Constraints on Supersymetry breaking. Nuclear Physics B202 (1982) 253-316. MR668987
  4. [4] E. Witten : Supersymmetry and Morse Theory. J. Differential Geometry17 (1982) 661-692. Zbl0499.53056MR683171
  5. [5] L. Alvarez-Gaume : Super symmetry and the Atiyah-Singer Index Theorem. Commun. Math. Phys.90, 161-173 (1983). Zbl0528.58034MR714431
  6. [6] J.M. Bismut : The Aityah-Singer Theorems : A probabilistic approach I. Journal of Functional Analysis57, 56-99 (1984). Zbl0538.58033MR744920
  7. [7] E. Getzler : Pseudodifferential Operators on Supermanifolds. Commun. Math. Phys.92, 1983, 163-178. Zbl0543.58026MR728863
  8. [8] N. Berline and M. Vergne : A computation of the equivariant index. Preprint 1984-1985. Ecole Polytechnique. 
  9. [9] B. Simon : Semiclassical analysis of low lying Eigenvalues I. Ann. Inst. Henri Poincaré, Section A, Vol. 38 n° 3, 1983, 295-307. Zbl0526.35027MR708966
  10. [10] B. Simon : Semiclassical analysis of low lying Eigenvalues II. Annals of Mathematics120 (1984) 89-118. Zbl0626.35070MR750717
  11. [11] B. Helffer and J. Sjostrand : Multiple wells in the semi-classical limit I. Comm. in P.D.E. t.9 n° 4, 1984, p. 337-408. Zbl0546.35053MR740094
  12. [12] E. Combet : Perturbations singulières et formules de localisation. CRAS (I) 297 (1983) 59-61 et article à paraître. Zbl0542.58023
  13. [13] E. Combet : séminaire de Géométrie1983-1984. Université Lyon I. 
  14. [14] G. Henniart : Séminaire Bourbaki n° 617, Novembre 1983. 
  15. [15] M.F. Atiyah, R. Bott, V.K. Patodi : On the heat equation and the index theorem. Invent. Math.19, 279-330 (1973). Zbl0257.58008MR650828

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