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VOL. 16 | 2015 Affine Models of Internal Degrees of Freedom and their Quantization
Agnieszka Martens

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

Abstract

We discuss some classical and quantization problems of infinitesimal affinely-rigid bodies moving in two-dimensional manifolds. Considered are highly symmetric models for which the variables can be separated. We follow the standard procedure of quantization in Riemannian manifolds, i.e., we use the ${\rm L}^{2}$-Hilbert space of wave functions in the sense of the usual Riemannian measure (volume element).

Information

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

zbMATH: 1348.81278
MathSciNet: MR3363846

Digital Object Identifier: 10.7546/giq-16-2015-207-218

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

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