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VOL. 16 | 2015 Affinely-Rigid Body and Oscillatory Two-Dimensional Models
Jan J. Sławianowski, Agnieszka Martens

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

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.

Information

Published: 1 January 2015
First available in Project Euclid: 13 July 2015

zbMATH: 1370.37147
MathSciNet: MR3363839

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

Rights: Copyright © 2015 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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