Proceedings of the International Conference on Geometry, Integrability and Quantization

Quantized Version of the Theory of Affine Body

Jan J. Sławianowski and Agnieszka Martens

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Abstract

Discussed are some classical and quantization problems of the affinely-rigid body in two dimensions. Strictly speaking, we consider the model of the harmonic oscillator potential and then discuss some natural anharmonic modifications. It is interesting that the considered doubly-isotropic models admit coordinate systems in which the classical and Schrödinger equations are separable and in principle solvable in terms of special functions on groups.

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), 94-109

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815738

Digital Object Identifier
doi:10.7546/giq-16-2015-94-109

Mathematical Reviews number (MathSciNet)
MR

Citation

Sławianowski, Jan J.; Martens, Agnieszka. Quantized Version of the Theory of Affine Body. Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, 94--109, Avangard Prima, Sofia, Bulgaria, 2015. doi:10.7546/giq-16-2015-94-109. https://projecteuclid.org/euclid.pgiq/1436815738


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