Geometrically induced discrete spectrum in curved tubes

Elliptic Partial Differential Equations of Second Order

2001 • 19,324 citations

A Comprehensive Introduction to Differential Geometry.

1973 • 3,722 citations

Elliptic Partial Differential Equations of Second Order

1997 • 1,178 citations

Linear Operators on Hilbert Spaces

2007 • 1,119 citations

Linear Operators in Hilbert Spaces

1980 • 1,028 citations

A Course in Differential Geometry

1978 • 448 citations

CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS

1995 • 418 citations

Bound states in curved quantum waveguides

1989 • 342 citations

Bound states in twisting tubes

1992 • 270 citations

On the Spectrum of Curved Planar Waveguides

2005 • 72 citations

On the spectrum of curved quantum waveguides

2003 • 60 citations

Existence of bound states in quantum waveguides under weak conditions

1995 • 58 citations

Ordinary differential equations

1992 • 56 citations

A lower bound to the spectral threshold in curved tubes

2004 • 42 citations

Binding and Scattering in Two-Dimensional Systems

1999 • 37 citations

The nature of the essential spectrum in curved quantum waveguides

2004 • 31 citations

Spectral analysis of an acoustic multistratified perturbed cylinder

1998 • 30 citations

Curvilinear optical fibre waveguide: characterization of bound modes and radiative field

1989 • 5 citations

Deleted Work

1955 • 0 citations