Article

Letters in Mathematical Physics

, Volume 35, Issue 1, pp 1-12

First online:

Existence of bound states in quantum waveguides under weak conditions

  • W. RengerAffiliated withInstitut für Theoretische Physik, Technische Universität Graz
  • , W. BullaAffiliated withInstitut für Theoretische Physik, Technische Universität Graz

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Abstract

The existence of bound states in a plane quantum waveguide is proved under weak conditions: Within a bounded set a more general shape than a curved parallel strip is admitted and the curvature of the reference curve need not be differentiable. Furthermore, no upper bound for the width of the strip is required.

Mathematics Subject Classifications (1991)

81Q10 35P15 35J25