Gauge invariant quantization on Riemannian manifolds
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- by Zhang Ju Liu and Min Qian PDF
- Trans. Amer. Math. Soc. 331 (1992), 321-333 Request permission
Abstract:
For every pointwise polynomial function on each fiber of the cotangent bundle of a Riemannian manifold $M$, a family of differential operators is given, which acts on the space of smooth sections of a vector bundle on $M$. Such a correspondence may be considered as a rule to quantize classical systems moving in a Riemannian manifold or in a gauge field. Some applications of our construction are also given in this paper.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 331 (1992), 321-333
- MSC: Primary 58G15; Secondary 58F05, 58F06
- DOI: https://doi.org/10.1090/S0002-9947-1992-1040266-0
- MathSciNet review: 1040266