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Geometric structure of quantization

Chapter I. Geometric Quantization

Part of the Lecture Notes in Mathematics book series (LNM,volume 570)

Keywords

  • Wave Function
  • Quantum State
  • Configuration Space
  • Lagrangian Submanifolds
  • Affine Space

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References

  1. R.J.Blattner, Quantization and Representation Theory, Proceedings of Symposia in Pure Mathematics, vol. XXVI, American Math. Soc. 1973

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  2. K.Gawȩdzki, Fourier like Kernels in Geometric Quantiztion, to appear in Dissertationes Mathematicae

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  3. L. Hörmander, Fourier Integral Operators I, Acta Math. 127 (1971), p. 179

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  4. J. Kijowski, A Finite Dimensional Canonical Formalism in the Classical Field Theory, Comm. Math. Phys, 30 (1973) p. 99

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  5. J.Kijowski and W.Szczyrba, A canonical Structure of the Classical Field Theory, to appear in Comm. Math. Phys.

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  6. J.Kijowski, W.Tulczyjew, Canonical Formalism and Boundary Problems, in preparation

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  7. B. Kostant, Quantization and Unitary Representations, Lecture Notes in Math, vol 170, Springer, Berlin 1970

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  8. B.Kostant, Symplectic Spinors, Proceedings of Convegno di Geometria Simplettica e Fisica Matematica, INDAM Rome 1973

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© 1977 Springer-Verlag

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Kijowski, J. (1977). Geometric structure of quantization. In: Bleuler, K., Reetz, A. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087785

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  • DOI: https://doi.org/10.1007/BFb0087785

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08068-8

  • Online ISBN: 978-3-540-37498-5

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