Quantum Wires with Magnetic Fluxes

被引：0

作者：

Vadim Kostrykin

Robert Schrader

机构：

[1] Fraunhofer-Institut für Lasertechnik,

[2] Steinbachstraße 15,undefined

[3] 52074 Aachen,undefined

[4] Germany. E-mail: kostrykin@ilt.fraunhofer.de; kostrykin@t-online.de,undefined

[5] Institut für Theoretische Physik Freie Universität Berlin,undefined

[6] Arnimallee 14,undefined

[7] 14195 Berlin,undefined

[8] Germany. E-mail: schrader@physik.fu-berlin.de,undefined

来源：

Communications in Mathematical Physics | 2003年 / 237卷

关键词：

Magnetic Field; Present Article; Magnetic Flux; Quantum Wire;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present article magnetic Laplacians on a graph are analyzed. We provide a complete description of the set of all operators which can be obtained from a given self-adjoint Laplacian by perturbing it by magnetic fields. In particular, it is shown that generically this set is isomorphic to a torus. We also describe the conditions under which the operator is unambiguously (up to unitary equivalence) defined by prescribing the magnetic fluxes through all loops of the graph.

引用

页码：161 / 179

页数：18