Quantization of the geodesic flow on quaternion projective spaces (Q1610259)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantization of the geodesic flow on quaternion projective spaces |
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Quantization of the geodesic flow on quaternion projective spaces (English)
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19 August 2002
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Two operators from a Hilbert space of a certain class of holomorphic functions on the punctured cotangent bundle to the \(L_2\)-space of functions on the quaternionic projective space are obtained. It is proved that these operators quantize the geodesic flow of the quaternionic projective space to the one-parameter group of unitary Fourier integral operators generated by the square root of the Laplacian plus suitable constants.
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quaternion projective space
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geometric quantization
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geodesic flow
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