Please use this identifier to cite or link to this item:
- Dimensional Compactification and Two-Particle Binding
- Universidade Federal Fluminense (UFF)
- Universidade Estadual de Campinas (UNICAMP)
- Universidade Estadual Paulista (UNESP)
- Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
- The renormalization group equations (RGE) are applied to the study of two-body singular interactions at the surface of an infinite long cylinder with a radius R. A single scale, independent of R, emerges from the renormalization procedure of removing the ultraviolet momentum divergence of the original interacting Green's function. This single scale implies in a R-dependent binding energy, which is obtained from the pole of the Green's function. The binding is infinitely large in the limit R = 0, while as R goes to infinity it converges to the well-known two-dimensional (2D) result in flat space. The physical scale is controlled by the energy binding value on the 2D flat surface. By exploring the effect of space dimensions D, from D = 1 to D = 3, in the physics and scales, it is also shown that by decreasing the dimensionality one favors the two-body binding. (C) 2010 Wiley Periodicals, Inc. Int J Quantum Chem 111: 1458-1465, 2011
- International Journal of Quantum Chemistry. Hoboken: Wiley-blackwell, v. 111, n. 7-8, p. 1458-1465, 2011.
- few body
- dimensional compactification
- bound states
- Acesso restrito
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.