A calculus of observables on a Dirac particle
Unterberger, André
Annales de l'I.H.P. Physique théorique, Tome 69 (1998), p. 189-239 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1998-01-01
@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},
     volume = {69},
     year = {1998},
     pages = {189-239},
     mrnumber = {1638891},
     zbl = {0914.35114},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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) pp. 189-239. http://gdmltest.u-ga.fr/item/AIHPA_1998__69_2_189_0/

[1] N. Berline, E. Getzler and M. Vergne, Heat kernels and Dirac operators, Springer-Verlag, Berlin, 1992. | MR 1215720 | Zbl 0744.58001

[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. | MR 932422 | Zbl 0658.53034

[4] H.O. Cordes, A pseudo-algebra of observables for the Dirac equation, Manuscripta Mathematica, Vol. 45, 1983, pp. 77-105. | MR 722924 | Zbl 0562.35079

[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. | MR 1130821 | Zbl 0733.43001

[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. | MR 144659 | Zbl 0098.20004

[8] H.B. Lawson and M.L. Michelsohn, Spin Geometry, Princeton Univ.Press, Princeton, 1989. | MR 1031992 | Zbl 0688.57001

[9] C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation, W. H. Freeman and Co, San Francisco, 1973. | MR 418833

[10] T.D. Newton and E.P. Wigner, Localized States for Elementary Systems, Rev. Mod. Physics, Vol. 21, 1949, pp. 400-406. | Zbl 0036.26704

[11] L.H. Ryder, Quantum Field Theory, Cambridge Univ. Press, Cambridge, 1985. | Zbl 0555.46038

[12] B. Thaller, The Dirac Equation, Texts and Monographs in Physics, Springer-Verlag, Berlin-Heidelberg, 1992. | MR 1219537 | Zbl 0765.47023

[13] A. Unterberger, Quantification relativiste, Mémoires de la Soc. Math. de France, n° 44-45, Paris, 1991. | Numdam | Zbl 0745.35057

[14] A. Unterberger, L'oscillateur relativiste et les fonctions de Mathieu, Bull. Soc. Math. de France, Vol. 121, n° 4, 1993, pp. 479-508. | Numdam | MR 1254750 | Zbl 0797.58034

[15] A. Unterberger, Relativity, spherical functions and the hypergeometric equation, Ann. Inst. Henri Poincaré, Vol. 62, n° 2, 1995, pp. 103-144. | Numdam | MR 1317183 | Zbl 0834.43011