Publicação: Dimensional Compactification and Two-Particle Binding
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Wiley-Blackwell
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Resumo
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
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few body, renormalization, dimensional compactification, bound states, atoms
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Inglês
Como citar
International Journal of Quantum Chemistry. Hoboken: Wiley-blackwell, v. 111, n. 7-8, p. 1458-1465, 2011.
