Keywords
- Geometric Quantization
- Symplectic Space
- Symplectic Transformation
- Nonlinear Scattering
- Stable Polarization
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References
S. Paneitz, "Unitarization of Symplectics and Stability for Causal Differential Equations in Hilbert Space", J. Func. Anal., vol. 41, no. 3 (1981), pp. 315–326
S. Paneitz, "Torsion of Almost Complex Structures Determined by Symplectic Transformations", Working paper, 1982
S. Paneitz and I.E. Segal, "Quantization of Wave Equations and Hermitian Structures in Partial Differential Varieties", Proc. Nat. Acad. Sci., 77, no. 12 (December 1980), pp. 6943–6947
M. Reed and B. Simon, "Methods of Modern Mathematical Physics", Vol. II, Fourier Analysis, Self-Adjointness, Academic Press, New York, 1975
I.E. Segal, "Field Quantization", Physica Scripta, vol. 24, no. 5, p. 827
J. Śniatycki, "Geometric Quantization and Quantum Mechanics", Applied Mathematical Sciences, vol. 30, Springer-Verlag, New York, 1980
S. Paneitz, "Essential Unitarization of Symplectics, and Applications to Field Quantization", submitted for publication, 1981.
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© 1983 Springer-Verlag Berlin Heidelberg
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Paneitz, S.M. (1983). Determination of a polarization by nonlinear scattering, and examples of the resulting quantization. In: Andersson, S.I., Doebner, HD. (eds) Non-linear Partial Differential Operators and Quantization Procedures. Lecture Notes in Mathematics, vol 1037. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073177
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DOI: https://doi.org/10.1007/BFb0073177
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