Published August 20, 2004
| Version v1
Journal article
Isospectral membranes: a connection between shape and density
Creators
- 1. Department of Mathematics, University of Alabama at Birmingham, 452 Campbell Hall, 1300 University Boulevard, Birmingham, AL 35294-1170 (United States)
- 2. Department of Mathematics and Statistics, Murray State University, 6C Faculty Hall, Murray, KY 42071-3341 (United States)
Description
A connection is established via conformal maps between vibrating membranes that are isospectral with respect to shape and those that are isospectral with respect to density. In particular, inhomogeneous circular membranes are constructed that are isospectral to polygonal membranes of uniform density via the Schwarz-Christoffel mapping. Although some corners of the polygons lead to singularities in the constructed densities, the densities are shown to be integrable
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/37/8103/a4_33_009.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/37/8103/a4_33_009.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/37/33/009;
- PII
- S0305-4470(04)79463-9;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 37
- Journal Issue
- 33
- Journal Page Range
- p. 8103-8109
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36029631
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DENSITY; INTEGRAL CALCULUS; MAPPING; MAPS; MEMBRANES; SHAPE; SINGULARITY
- Descriptors DEC
- MATHEMATICS; PHYSICAL PROPERTIES