Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. Van Hove, Acad. Roy. Belg. Bull. C1. Sci., (5), 37, 610 (1951); Mem. Acad. Roy. Belg., (6), 26, 1 (1951).
M. J. Gotay, Int. J. Theor. Phys., 19, 139 (1980).
R. Abraham and J. E. Marsden, Foundations of Mechanics (Benjamin-Cummings, Reading, PA, 1978).
H.J. Groenewold, Physica, 12, 405 (1946).
A. Joseph, Commun. Math. Phys., 17, 210 (1970).
P. Chernoff, Had. J., 4, 879 (1981).
F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer, Ann. Phys., 111, 111 (1978).
P. B. Guest, Rep. Math. Phys., 6, 99 (1974).
W. Arveson, Commun. Math. Phys., 89, 77 (1983).
J. Underhill, J. Math. Phys., 19, 1932 (1978).
F. J. Bloore, in Géométrie Symplectique'et Physique Mathématique, Coll. Int. C.N.R.S. 237, 299 (1978).
B. Kostant, in Géométrie Symplectique et Physique Mathématique, Coll. Int. C.N.R.S. 237, 187 (1978).
J. Sniatycki, Geometric Quantization and Quantum Mechanics, Springer Appl. Math. Ser. 30 (Springer, Berlin, 1980).
N. M. J. Woodhouse, Geometric Quantization (Clarendon, Oxford, 1980).
I. Vaisman, J. Austral. Math. Soc., 23, 394 (1982).
R. Hermann, Lie Algebras and Quantum Mechanics, (Benjamin, New York, 1970).
R. Geroch, Geometrical Quantum Mechanics, mimeographed lecture notes (Univ. of Chicago, 1975).
R. J. Blattner, in LNM 570, 11 (1977).
J. von Neumann, Mathematical Foundations of Quantum Mechanics, (Princeton, 1955).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Gotay, M.J. (1987). Formal quantization of quadratic momentum observables. In: Kim, Y.S., Zachary, W.W. (eds) The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function. Lecture Notes in Physics, vol 278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17894-5_384
Download citation
DOI: https://doi.org/10.1007/3-540-17894-5_384
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17894-1
Online ISBN: 978-3-540-47901-7
eBook Packages: Springer Book Archive