Published June 3, 2005
| Version v1
Journal article
An isoperimetric problem for point interactions
Creators
- 1. Doppler Institute, Czech Technical University, Brehova 7, 11519 Prague (Czech Republic)
- 2. Department of Theoretical Physics, Nuclear Physics Institute, Academy of Sciences, 25068 Rez (Czech Republic)
Description
We consider a Hamiltonian with N point interactions in Rd, d=2, 3, all with the same coupling constant, placed at vertices of an equilateral polygon PN. It is shown that the ground-state energy is locally maximized by a regular polygon. The question whether the maximum is global is reduced to an interesting geometric problem
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/4795/a5_22_004.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/0305-4470/38/4795/a5_22_004.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/22/004;
- PII
- S0305-4470(05)84269-6;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 22
- Journal Page Range
- p. 4795-4802
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36095959
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COUPLING CONSTANTS; GROUND STATES; HAMILTONIANS; INTERACTIONS; RIEMANN SPACE; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- ENERGY LEVELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; QUANTUM OPERATORS; SPACE