A quantization for Kähler fields in static space-times

Peter Basarab-Horwath; R. W. Tucker

Annales de l'I.H.P. Physique théorique (1986)

  • Volume: 45, Issue: 1, page 79-97
  • ISSN: 0246-0211

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Basarab-Horwath, Peter, and Tucker, R. W.. "A quantization for Kähler fields in static space-times." Annales de l'I.H.P. Physique théorique 45.1 (1986): 79-97. <http://eudml.org/doc/76331>.

@article{Basarab1986,
author = {Basarab-Horwath, Peter, Tucker, R. W.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Clifford algebra; Kähler equation; Cauchy problem; spectral theory; quantum spectrum; Fock spaces},
language = {eng},
number = {1},
pages = {79-97},
publisher = {Gauthier-Villars},
title = {A quantization for Kähler fields in static space-times},
url = {http://eudml.org/doc/76331},
volume = {45},
year = {1986},
}

TY - JOUR
AU - Basarab-Horwath, Peter
AU - Tucker, R. W.
TI - A quantization for Kähler fields in static space-times
JO - Annales de l'I.H.P. Physique théorique
PY - 1986
PB - Gauthier-Villars
VL - 45
IS - 1
SP - 79
EP - 97
LA - eng
KW - Clifford algebra; Kähler equation; Cauchy problem; spectral theory; quantum spectrum; Fock spaces
UR - http://eudml.org/doc/76331
ER -

References

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  1. [1] E. Kähler, Der innere Differentialkalkül. Rendiconti di Matematica, t. 21, 1962, p. 425-523. Zbl0127.31404MR150681
  2. [2] W. Graf, Differential forms as Spinors. Annales de l'Institut Henri Poincaré, t. XXIX A, 1978, p. 85-109. Zbl0397.53005MR512425
  3. [3] I.M. Benn, R.W. Tucker, Fermions without Spinors. Commun. Math. Phys., t. 89, 1983, p. 341-362. Zbl0527.58023MR709471
  4. [4] F.W. Warner, Foundations of Differentiable Manifolds and Lie Groups. Scott, Foresman and Co. Illinois, 1971. Zbl0241.58001MR295244
  5. [5] L. Hörmander, Linear Partial Differential Operators. Springer-Verlag, Berlin, 1964. Zbl0108.09301MR404822
  6. [6] M. Reed, B. Simon, Methods of Modern Mathematical Physics I. Functional Analysis. Academic Press, New York, 1972. Zbl0242.46001MR493419
  7. [7] A. Lichnerowicz, Propagateurs et Commutateurs en Relativité Générale. Publications I. H. E. S. 10, 1961. Zbl0098.42607MR158726
  8. [8] J. Leray, Hyperbolic Differential Equations (Princeton University). Lecture Notes, 1952. MR80849
  9. [9] P. Basarab-Horwath, R.W. Tucker, Propagateurs Spinoriels et formes différentielles. C. R. Acad. Sci. Paris, t. 299, série I, 1984, p. 1029-1032. Zbl0566.58001MR776858
  10. [10] L. Schwartz, Théorie des Distributions, Paris, Hermann, 1966. MR209834
  11. [11] S. Lang, Introduction to Differentiable Manifolds, New York, J. Wiley, 1962. Zbl0103.15101MR155257

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