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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The Wigner caustic on shell and singularities of odd functions

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Author(s):
Domitrz, Wojciech [1] ; Manoel, Miriam [2] ; Rios, Pedro de M. [2]
Total Authors: 3
Affiliation:
[1] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00662 Warsaw - Poland
[2] Univ Sao Paulo, ICMC, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF GEOMETRY AND PHYSICS; v. 71, p. 58-72, SEP 2013.
Web of Science Citations: 6
Abstract

We study the Wigner caustic on shell of a Lagrangian submanifold L of affine symplectic space. We present the physical motivation for studying singularities of the Wigner caustic on shell and present its mathematical definition in terms of a generating family. Because such a generating family is an odd deformation of an odd function, we study simple singularities in the category of odd functions and their odd versal deformations, applying these results to classify the singularities of the Wigner caustic on shell, interpreting these singularities in terms of the local geometry of L. (C) 2013 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 10/15179-8 - Symplectic geometry applied to mathematical physics
Grantee:Pedro Paulo de Magalhaes Rios
Support Opportunities: Regular Research Grants