In questo documento, we give upper estimates for the number and sum of eigenvalues
below the bottom of the essential spectrum counting multiplicities of quantum
waveguides in two dimensions. We consider both straight and curved waveguides
of constant width, and the estimates are presented in terms of norms of the
potential. For curved quantum waveguide, we assume that the waveguide is not
self-intersecting and its curvature is a continuous and bounded function on R.
The estimates are new, particularly for the case of curved quantum waveguides
and this opens a window for their extension to different configurations such as
waveguides with local defamations.

Questo articolo esplora i giri e le loro implicazioni.

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