Bound states and threshold resonances in quantum wires with circular bends

Journal Article · Thu Aug 01 00:00:00 EDT 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.54.5750· OSTI ID:383524

Lin, K ^[1]; Jaffe, R L ^[2]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
2. Center for Theoretical Physics, Laboratory for Nuclear Science, Massachusetts Institute of Technology,Cambridge, Massachusetts 02139 (United States)

We study the solutions to the wave equation in a two-dimensional tube of unit width comprised of two straight regions connected by a region of constant curvature. We introduce a numerical method which permits high accuracy at high curvature. We determine the bound state energies as well as the transmission and reflection matrices {bold T} and {bold R} and focus on the nature of the resonances that occur in the vicinity of channel thresholds. We explore the dependence of these solutions on the curvature of the tube and angle of the bend and discuss several limiting cases where our numerical results confirm analytic predictions. {copyright} {ital 1996 The American Physical Society.}

• DOE Contract Number: FC02-94ER40818; FG02-92ER40702
• OSTI ID: 383524
• Journal Information: Physical Review, B: Condensed Matter, Vol. 54, Issue 8; Other Information: PBD: Aug 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUND STATE
TWO-DIMENSIONAL CALCULATIONS
RESONANCE SCATTERING
CIRCULAR CONFIGURATION
EIGENVALUES
BINDING ENERGY
CALCULATION METHODS
NUMERICAL SOLUTION
CONVERGENCE
QUANTUM WIRES