AFFINE MODELS OF INTERNAL DEGREES OF FREEDOM AND THEIR QUANTIZATION

被引：0

作者：

Martens, Agnieszka ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Fundamental Technol Res, 5B Pawinskiego Str, PL-02106 Warsaw, Poland

来源：

PROCEEDINGS OF THE SIXTEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION | 2015年

关键词：

affine models; internal degrees of freedom; quantization problems; highly symmetric models; separability problem; Riemannian manifolds; Hilbert space; QUANTUM-SYSTEMS; RIGID BODY; MECHANICS; DYNAMICS; BODIES; SPACES;

D O I：

10.7546/giq-16-2015-207-218

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 L-2-Hilbert space of wave functions in the sense of the usual Riemannian measure (volume element).

引用

页码：207 / 218

页数：12

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