On the number of particles that a curved quantum waveguide can bind

Citation
P. Exner et Sa. Vugalter, On the number of particles that a curved quantum waveguide can bind, J MATH PHYS, 40(10), 1999, pp. 4630-4638
Citations number
19
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
40
Issue
10
Year of publication
1999
Pages
4630 - 4638
Database
ISI
SICI code
0022-2488(199910)40:10<4630:OTNOPT>2.0.ZU;2-Y
Abstract
We discuss the discrete spectrum of N particles in a curved planar waveguid e. If they are neutral fermions, the maximum number of particles that the w aveguide can bind is given by a one-particle Birman-Schwinger bound in comb ination with the Pauli principle. On the other hand, if they are charged, e .g., electrons in a bent quantum wire, the Coulomb repulsion plays a crucia l role. We prove a sufficient condition under which the discrete spectrum o f such a system is empty. (C) 1999 American Institute of Physics. [S0022-24 88(99)01309-2].