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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