Geometric quantization of nuclear collective models

  • G. Rosensteel
  • E. Brig
Symplectic Structure and Geometric Quantization
Part of the Lecture Notes in Physics book series (LNP, volume 94)


Unitary Representation Symplectic Manifold Cotangent Bundle Quantum Model Geometric Quantization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    B. Kostant, “Quantization and Unitary Representations,” in Lecture Notes in Mathematics, Vol. 170, Springer, Berlin, 1970.Google Scholar
  2. 2.
    J-M. Souriau, “Structure des Systemes Dynamiques,” Dunod, Paris, 1970.Google Scholar
  3. 3.
    D. J. Simms and N. M. J. Woodhouse, “Lectures on Geometric Quantization,” Lecture Notes in Physics, Vol. 53, Springer, Berlin, 1976.Google Scholar
  4. 4.
    E. P. Wigner, Ann. Math. 40 (1939) 149–204.Google Scholar
  5. 5.
    A. Bohr, Dan Mat. Fys. Medd. 26, No. 14 (1952).Google Scholar
  6. 6.
    K. Alder, A. Bohr, T. Huus, B. Mottelson and A. Winther, Rev. Mod. Phys. 28 (1956), 432.Google Scholar
  7. 7.
    A. Bohr, B. Mottelson and J. Rainwater, Rev. Mod. Phys. 48 (1976), 365.Google Scholar
  8. 8.
    G. Rosensteel, “On the Algebraic Formulation of Collective Models,” Ph.D. Thesis, Univ. of Toronto, 1975.Google Scholar
  9. 9.
    G. Rosensteel and E. Ihrig, Phys. Rev. C17 (1978), 1179.Google Scholar
  10. 10.
    G. Rosensteel and D. J. Rowe, “On the Algebraic Formulation of Collective Models, I: The Mass Quadrupole Collective Model,” preprint.Google Scholar
  11. 11.
    G. Rosensteel and D. J. Rowe, Ann. Phys. 96 (1976), 1–42.Google Scholar
  12. 12.
    G. Rosensteel and E. Ihrig, “Geometric Quantization of the CM(3) Model,” preprint.Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • G. Rosensteel
    • 1
  • E. Brig
    • 2
  1. 1.Department of PhysicsTulane UniversityNew Orleans
  2. 2.Department of Applied MathematicsMcMaster UniversityHamiltonCanada

Personalised recommendations