On the skeleton method and an application to a quantum scissor

Details On the skeleton method and an application to a quantum scissor On the skeleton method and an application to a quantum scissor

2008-01-17

arxiv.org/abs/0801.2627v1

Physics

Mathematical Physics

Submitted

Scientific paper

In the spectral analysis of few one dimensional quantum particles interacting through delta potentials it is well known that one can recast the problem into the spectral analysis of an integral operator (the skeleton) living on the submanifold which supports the delta interactions. We shall present several tools which allow direct insight into the spectral structure of this skeleton. We shall illustrate the method on a model of a two dimensional quantum particle interacting with two infinitely long straight wires which cross one another at a certain angle : the quantum scissor.

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