no. 2
A calculus of observables on a Dirac particle
Unterberger, André1
1 Université de Reims, Mathématiques (UMR 6056), Moulin de la Housse, B.P.1039, 51687 REIMS Cedex 2 (France)
Annales de l'I.H.P. Physique théorique, Tome 69 (1998) no. 2, pp. 189-239

Unterberger, André 1

1 Université de Reims, Mathématiques (UMR 6056), Moulin de la Housse, B.P.1039, 51687 REIMS Cedex 2 (France) 
@article{AIHPA_1998__69_2_189_0,
     author = {Unterberger, Andr\'e},
     title = {A calculus of observables on a {Dirac} particle},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {189--239},
     year = {1998},
     publisher = {Gauthier-Villars},
     volume = {69},
     number = {2},
     mrnumber = {1638891},
     zbl = {0914.35114},
     language = {en},
     url = {https://www.numdam.org/item/AIHPA_1998__69_2_189_0/}
}
TY  - JOUR
AU  - Unterberger, André
TI  - A calculus of observables on a Dirac particle
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1998
SP  - 189
EP  - 239
VL  - 69
IS  - 2
PB  - Gauthier-Villars
UR  - https://www.numdam.org/item/AIHPA_1998__69_2_189_0/
LA  - en
ID  - AIHPA_1998__69_2_189_0
ER  - 
%0 Journal Article
%A Unterberger, André
%T A calculus of observables on a Dirac particle
%J Annales de l'I.H.P. Physique théorique
%D 1998
%P 189-239
%V 69
%N 2
%I Gauthier-Villars
%U https://www.numdam.org/item/AIHPA_1998__69_2_189_0/
%G en
%F AIHPA_1998__69_2_189_0
Unterberger, André. A calculus of observables on a Dirac particle. Annales de l'I.H.P. Physique théorique, Tome 69 (1998) no. 2, pp. 189-239. https://www.numdam.org/item/AIHPA_1998__69_2_189_0/

[1] N. Berline, E. Getzler and M. Vergne, Heat kernels and Dirac operators, Springer-Verlag, Berlin, 1992. | Zbl | MR

[2] N.N. Bogolubov, A.A. Logunov and I.T. Todorov, Introduction to Axiomatic Quantum Field Theory, W. A. Benjamin, Inc., Reading (Ma, USA), 1975.

[3] J.P. Bourguignon, L'opérateur de Dirac et la géométrie riemannienne, Rend. Sem. Mat. Univ. Politec. Torino, Vol. 44, 1986, pp. 317-359. | Zbl | MR

[4] H.O. Cordes, A pseudo-algebra of observables for the Dirac equation, Manuscripta Mathematica, Vol. 45, 1983, pp. 77-105. | Zbl | MR

[5] J.E. Gilbert and M.A.M. Murray, Clifford algebras and Dirac operators in harmonic analysis, Cambridge studies in adv. math. n° 26, Cambridge Univ. Press, Cambridge, 1991. | Zbl | MR

[6] C. Itzykson and J.B. Zuber, Quantum Field Theory, Mc Graw Hill, New York, 1964.

[7] D. Kastler, Introduction à l'électrodynamique quantique, Dunod, Paris, 1961. | Zbl | MR

[8] H.B. Lawson and M.L. Michelsohn, Spin Geometry, Princeton Univ.Press, Princeton, 1989. | Zbl | MR

[9] C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation, W. H. Freeman and Co, San Francisco, 1973. | MR

[10] T.D. Newton and E.P. Wigner, Localized States for Elementary Systems, Rev. Mod. Physics, Vol. 21, 1949, pp. 400-406. | Zbl

[11] L.H. Ryder, Quantum Field Theory, Cambridge Univ. Press, Cambridge, 1985. | Zbl

[12] B. Thaller, The Dirac Equation, Texts and Monographs in Physics, Springer-Verlag, Berlin-Heidelberg, 1992. | Zbl | MR

[13] A. Unterberger, Quantification relativiste, Mémoires de la Soc. Math. de France, n° 44-45, Paris, 1991. | Zbl | Numdam

[14] A. Unterberger, L'oscillateur relativiste et les fonctions de Mathieu, Bull. Soc. Math. de France, Vol. 121, n° 4, 1993, pp. 479-508. | Zbl | MR | Numdam

[15] A. Unterberger, Relativity, spherical functions and the hypergeometric equation, Ann. Inst. Henri Poincaré, Vol. 62, n° 2, 1995, pp. 103-144. | Zbl | MR | Numdam