Metric and group structures from quantum physics

  • J. G. Provost
  • G. Vallée
Canonical Transformation and Quantum Mechanics
Part of the Lecture Notes in Physics book series (LNP, volume 135)


Hilbert Space Quantum State Coherent State Scalar Curvature Ordinary Space 
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    In “Differential Geometrical Methods in Mathematical Physics II”. Proceedings, Bonn 1977, Springer Verlag, Berlin-Heidelberg-New York, 1978.Google Scholar
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    V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer, New York (1978).zbMATHGoogle Scholar
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    G. Ruppeiner, Phys. Rev. A20, 1608–1613 (1979)ADSGoogle Scholar
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    Riemannian Structure on Manifolds of Quantum States, J.P. Provost and G. Vallée, to appear in Comm. Math. Phys.Google Scholar
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    P.G. Reinhard and K. Goeke, Phys. Rev. C20, 1546–1559 (1979) and references therein. B.G. Giraund and D.J. Rowe, Journal de Physique, Lettre 8, 177–180 (1979).MathSciNetADSGoogle Scholar
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    A.M. Peremolov, Comm. Math. Phys. 26, 222–236 (1972).MathSciNetCrossRefADSGoogle Scholar
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    J.P. Provost, F. Rocca and G. Vallée, Ann. Phys. (New York) 94, 307–319 (1975).CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • J. G. Provost
    • 1
  • G. Vallée
    • 1
  1. 1.Physique ThéoriqueUniversité de NiceNice CedexFrance

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