Pavel Exner, Simeon A. Vugalter
On the number of particles which a curved quantum
waveguide can bind
(34K, LaTeX)
ABSTRACT. We discuss the discrete spectrum of N particles in a curved
planar waveguide. If they are neutral fermions, the maximum number of
particles which the waveguide can bind is given by a one-particle
Birman-Schwinger bound in combination 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 crucial role. We prove a
sufficient condition under which the discrete spectrum of such a
system is empty.