A class of solvable Lie groups and their relation to the canonical formalism

Hans Tilgner

Annales de l'I.H.P. Physique théorique (1970)

  • Volume: 13, Issue: 2, page 103-127
  • ISSN: 0246-0211

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Tilgner, Hans. "A class of solvable Lie groups and their relation to the canonical formalism." Annales de l'I.H.P. Physique théorique 13.2 (1970): 103-127. <http://eudml.org/doc/75669>.

@article{Tilgner1970,
author = {Tilgner, Hans},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {2},
pages = {103-127},
publisher = {Gauthier-Villars},
title = {A class of solvable Lie groups and their relation to the canonical formalism},
url = {http://eudml.org/doc/75669},
volume = {13},
year = {1970},
}

TY - JOUR
AU - Tilgner, Hans
TI - A class of solvable Lie groups and their relation to the canonical formalism
JO - Annales de l'I.H.P. Physique théorique
PY - 1970
PB - Gauthier-Villars
VL - 13
IS - 2
SP - 103
EP - 127
LA - eng
UR - http://eudml.org/doc/75669
ER -

References

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  1. [1] H.D. Döbner et O. Melsheimer, Limitable Dynamical Groups in Quantum Mechanics. I. General Theory and a Spinless Model. J. Math. Phys., t. 9, 1968, p. 1638- 1656. Zbl0162.58702MR237145
  2. H.D. Döbner et T. Palev, To appear. 
  3. [2] D. Kastler, C*-Algebras of a Free Boson Field. Commun. Math. Phys., t. 1, 1965, p. 14-48. Zbl0137.45601MR193983
  4. [3] M. Köcher, Jordan Algebras and their Applications. University of Minnesota, Minneapolis, 1962. Zbl0128.03101
  5. [4] S. Helgason, Differential Geometry and Symmetric Spaces. Academic Press, N. Y., 1962. Zbl0111.18101MR145455
  6. [5] O. Loos, Symmetric Spaces. I. Benjamin, N. Y., 1969. Zbl0175.48601
  7. [6] J. Williamson, The Exponential Representation of Canonical Matrices. Am. J. Math., t. 61, 1939, p. 897-911. Zbl0022.10007MR220
  8. [7] L. Michel, Invariance in Quantum Mechanics and Group Extensions in Gürsey (ed.) : Group Theoretical Concepts and Methods in Elementary Particle Physics. Gordon and Breach, N. Y., 1964. Zbl0151.34305MR171551
  9. [8] R.F. Streater, The Representations of the Oscillator Group. Commun. Math. Phys., t. 4, 1967, p. 217-236. Zbl0155.32503MR207908
  10. [9] N. Jacobson, Lie Algebras. Interscience, N. Y., 1961. Zbl0121.27504MR143793
  11. [10] D. Simms, Lie Groups in Quantum Mechanics. Springer, Lecture, Notes in Mathematics, 52, Berlin, 1968. Zbl0161.24002
  12. [11] Séminaire Sophus Lie, E. N. S., 1954. Théorie des Algèbres de Lie, Topologie des Groupes de Lie. 
  13. [12] I. Segal, Quantized Differential Forms. Topology, t. 7, 1968, p. 147-172. Zbl0162.40602MR232790
  14. [13] S. Lang, Algebra. Addison-Wesley, Reading, Mass., 1965. Zbl0193.34701MR197234
  15. [14] Duimio et Zambotti, Dynamical Group of the Anisotropic Harmonic Oscillator. Nuovo Cimento, t. 43 A, 1966, p. 1203-1207. 
  16. [15] S.S. Sannikov, Square Root Extraction for Anticommuting Spinors. Soviet. Math. Dokl., t. 8, 1967, p. 32-34. Zbl0244.20051
  17. [16] R. Hermann, Lie Groups for Physicists. Benjamin, N. Y., 1966. Zbl0135.06901MR213463
  18. [17] C. Chevalley, Theory of Lie Groups. I. Princeton, 1964. 

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