A calculus of observables on a Dirac particle

André Unterberger

Annales de l'I.H.P. Physique théorique (1998)

  • Volume: 69, Issue: 2, page 189-239
  • ISSN: 0246-0211

How to cite

top

Unterberger, André. "A calculus of observables on a Dirac particle." Annales de l'I.H.P. Physique théorique 69.2 (1998): 189-239. <http://eudml.org/doc/76799>.

@article{Unterberger1998,
author = {Unterberger, André},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {symbolic calculus; quantization; Poincaré group; position operator; Dirac equation; Clifford analysis},
language = {eng},
number = {2},
pages = {189-239},
publisher = {Gauthier-Villars},
title = {A calculus of observables on a Dirac particle},
url = {http://eudml.org/doc/76799},
volume = {69},
year = {1998},
}

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
PB - Gauthier-Villars
VL - 69
IS - 2
SP - 189
EP - 239
LA - eng
KW - symbolic calculus; quantization; Poincaré group; position operator; Dirac equation; Clifford analysis
UR - http://eudml.org/doc/76799
ER -

References

top
  1. [1] N. Berline, E. Getzler and M. Vergne, Heat kernels and Dirac operators, Springer-Verlag, Berlin, 1992. Zbl0744.58001MR1215720
  2. [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. [3] J.P. Bourguignon, L'opérateur de Dirac et la géométrie riemannienne, Rend. Sem. Mat. Univ. Politec. Torino, Vol. 44, 1986, pp. 317-359. Zbl0658.53034MR932422
  4. [4] H.O. Cordes, A pseudo-algebra of observables for the Dirac equation, Manuscripta Mathematica, Vol. 45, 1983, pp. 77-105. Zbl0562.35079MR722924
  5. [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. Zbl0733.43001MR1130821
  6. [6] C. Itzykson and J.B. Zuber, Quantum Field Theory, Mc Graw Hill, New York, 1964. Zbl0453.05035
  7. [7] D. Kastler, Introduction à l'électrodynamique quantique, Dunod, Paris, 1961. Zbl0098.20004MR144659
  8. [8] H.B. Lawson and M.L. Michelsohn, Spin Geometry, Princeton Univ.Press, Princeton, 1989. Zbl0688.57001MR1031992
  9. [9] C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation, W. H. Freeman and Co, San Francisco, 1973. MR418833
  10. [10] T.D. Newton and E.P. Wigner, Localized States for Elementary Systems, Rev. Mod. Physics, Vol. 21, 1949, pp. 400-406. Zbl0036.26704
  11. [11] L.H. Ryder, Quantum Field Theory, Cambridge Univ. Press, Cambridge, 1985. Zbl0555.46038
  12. [12] B. Thaller, The Dirac Equation, Texts and Monographs in Physics, Springer-Verlag, Berlin-Heidelberg, 1992. Zbl0765.47023MR1219537
  13. [13] A. Unterberger, Quantification relativiste, Mémoires de la Soc. Math. de France, n° 44-45, Paris, 1991. Zbl0745.35057
  14. [14] A. Unterberger, L'oscillateur relativiste et les fonctions de Mathieu, Bull. Soc. Math. de France, Vol. 121, n° 4, 1993, pp. 479-508. Zbl0797.58034MR1254750
  15. [15] A. Unterberger, Relativity, spherical functions and the hypergeometric equation, Ann. Inst. Henri Poincaré, Vol. 62, n° 2, 1995, pp. 103-144. Zbl0834.43011MR1317183

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.