Bound states in two-dimensional crossed or bent quantum wires

作     者：Razavy, M 

作者机构：Univ Alberta Inst Theoret Phys Dept Phys Edmonton AB T6G 2J1 Canada 

出 版 物：《INTERNATIONAL JOURNAL OF MODERN PHYSICS B》 (国际现代物理学杂志，B：凝聚态物理、统计物理、应用物理)

年 卷 期：1998年第12卷第19期

页      面：1907-1919页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：Natural Sciences and Engineering Research Council of Canada  NSERC 

主　　题：Wave-guides Propagating modes Tubes Rope propagating mode Agrostis ELECTRIC WIRE bound states quantum wires Waveguide Device Component Sharp corners CONFORMAL MAPPING Schrodinger equation Wave equation 

摘      要：The method of conformal transformation is applied to solve the bound state problem for two-dimensional crossed wires with sharp and with smooth circular corners, for T-shaped and L-shaped wires and a number of other geometries. It is shown that in this method the wave equation with Dirichlet boundary condition on the boundaries of these wires can be transformed to a Schrodinger equation with a unique two-dimensional energy-dependent noneseparable potential. The results for various geometries indicate that sharp corners are essential in generating the bound states.