In this note we investigate in detail the spectrum of the Schrödinger Hamiltonian with a configuration of three equally spaced one-dimensional point interactions (Dirac distributions), with the external ones having the same negative coupling constant. It will be seen that despite its simplicity, such a toy model exhibits a fairly rich variety of spectral combinations when the two coupling constants and the separation distance are manipulated
On the spectrum of the Schroedinger Hamiltonian with a particular configuration of three one-dimensional point interactions.
Rinaldi F;
2009-01-01
Abstract
In this note we investigate in detail the spectrum of the Schrödinger Hamiltonian with a configuration of three equally spaced one-dimensional point interactions (Dirac distributions), with the external ones having the same negative coupling constant. It will be seen that despite its simplicity, such a toy model exhibits a fairly rich variety of spectral combinations when the two coupling constants and the separation distance are manipulatedFile in questo prodotto:
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Reports on Mathematical Physics 64 (3), 367-393.pdf
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