Proceedings of the International Conference on Geometry, Integrability and Quantization

Quantized Version of the Theory of Affine Body

Jan J. Sławianowski and Vasyl Kovalchuk

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Abstract

In the previous lecture we have introduce and discussed the concept of affinely-rigid, i.e., homogeneously deformable body. Some symmetry problems and possible applications were discussed. We referred also to our motivation by Euler ideas. Below we describe the general principles of the quantization of this theory in the Schrödinger language. The special stress is laid on highly-symmetric, in particular affinely-invariant, models and the Peter-Weyl analysis of wave functions.

Article information

Source
Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Andrei Ludu and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2015), 73-93

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815737

Digital Object Identifier
doi:10.7546/giq-16-2015-73-93

Mathematical Reviews number (MathSciNet)
MR3363838

Zentralblatt MATH identifier
1348.81045

Citation

Sławianowski, Jan J.; Kovalchuk, Vasyl. Quantized Version of the Theory of Affine Body. Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, 73--93, Avangard Prima, Sofia, Bulgaria, 2015. doi:10.7546/giq-16-2015-73-93. https://projecteuclid.org/euclid.pgiq/1436815737


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