Quantization in terms of local Heisenberg systems

Håkan Snellman

Annales de l'I.H.P. Physique théorique (1976)

  • Volume: 24, Issue: 4, page 393-416
  • ISSN: 0246-0211

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Snellman, Håkan. "Quantization in terms of local Heisenberg systems." Annales de l'I.H.P. Physique théorique 24.4 (1976): 393-416. <http://eudml.org/doc/75904>.

@article{Snellman1976,
author = {Snellman, Håkan},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {4},
pages = {393-416},
publisher = {Gauthier-Villars},
title = {Quantization in terms of local Heisenberg systems},
url = {http://eudml.org/doc/75904},
volume = {24},
year = {1976},
}

TY - JOUR
AU - Snellman, Håkan
TI - Quantization in terms of local Heisenberg systems
JO - Annales de l'I.H.P. Physique théorique
PY - 1976
PB - Gauthier-Villars
VL - 24
IS - 4
SP - 393
EP - 416
LA - eng
UR - http://eudml.org/doc/75904
ER -

References

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  1. [1] G.W. Mackey, Induced Representations of Groups and Quantum Mechanics. Benjamin, New York, 1968. Zbl0174.28101MR507212
  2. [2] H. Weyl, Gruppentheorie und Quantenmechanik. Hirzel, Leipzig, 1928. JFM54.0954.03
  3. [3] M.H. Stone, Proc. Nat. Acad. Sc. USA, t. 16, 1930, p. 172. JFM56.0357.01
  4. [4] J. von Neumann, Math. Ann., t. 104, 1931, p. 570. Zbl0001.24703JFM57.1446.01
  5. [5] A.S. Wightman, Rev. Mod. Phys., t. 34, 1962, p. 845. MR145848
  6. [6] G. Mackey, Duke Math. J., t. 16, 1949, p. 313 and Bull. Amer. Math. Soc., t. 69, 1962, p. 628. Zbl0036.07703MR30532
  7. [7] I. Segal, Duke Math. J., t. 18, 1951, p. 221. Zbl0045.38601MR45133
  8. [8] J. Dixmier, Algèbres d'opérateur. In Proc. Int. Summer School Phys. Varenna1968. Ed. R. Jost, Acad. Press, New York, 1970. 
  9. [9] M. Flato, J.-C. Guillot and D. Sternheimer, Comptes Rendus Acad. Sci. Paris, t. 270, série A, 1970, p. 914. Zbl0192.61601MR258361
  10. [10] C.A. Akemann, G.K. Pedersen and J. Tomiyama, J. Funct. Anal., t. 13, 1973, p. 277. Zbl0258.46052MR470685
  11. [11] C.A. Akemann, G.A. Elliot, G.K. Pedersen and J. Tomiyama, Derivations and multipliers of C*-algebras. Preprint No 16, Aug. 1973. Københavns Universitet Matematisk Institut. MR425625
  12. [12] E. Nelson, Ann. of Math., t. 70, 1959, p. 572. Zbl0091.10704MR107176
  13. [13] M. Flato, J. Simon, H. Snellman and D. Sternheimer, Ann. Sci. Éc. Norm. Sup., 4e série, t. 5, 1972, p. 423. Zbl0239.22019
  14. [14] M.A. Naimark, Normed algebras. Revised ed. Nordhoff, Groeningen, 1972. 
  15. [15] M. Flato, J. Simon and D. Sternheimer, Comptes Rendus Acad. Sci. Paris, t. 277, série A, 1973, p. 939. Zbl0269.17002MR338098
  16. [16] J. Kalckar, Nuovo Cimento, t. 8 A, 1972, p. 759. 
  17. [17] S. Horchani, Ann. Inst. Henri Poincaré, t. 15, 1971, p. 391. 
  18. [18] L. Hortwitz and C. Piron, Helv. Phys. Acta, t. 46, 1973, p. 316. 
  19. [19] E.P. Wigner, Ann. of Math., t. 40, 1939, p. 39. Zbl0020.29601JFM65.1129.01
  20. [20] M. Flato and H. Snellman, J. Math. Phys., t. 15, 1974, p. 857. Zbl0278.17002
  21. [21] J. Dixmier, J. Math. Pure et Appl., t. 50, 1971, p. 1 and further references quoted therein. Zbl0186.34403
  22. [22] N.I. Achieser and I.M. Glasmann, Theorie der linearen Operatoren im Hilbertraum. Akademie verlag, Berlin, 1958. Zbl0082.32702

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