Abstract:For a one-dimensional Schrödinger operator with a finite number n of point delta-interactions with a common intensity, the parameters are the intensity, the n − 1 intercenter distances and the mass. Critical points are points in the parameters space of the Hamiltonian where one bound state appears or disappears. The study of critical points for Hamiltonians with point delta-interactions arranged along a Fibonacci chain is shown to be closely related to the study of the so-called Fibonacci operator, a discrete … Show more
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