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most citedApproximations of quantum-graph vertex couplings by singularly scaled rank-one operators

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math-ph2013★ 7 cited

Approximations of quantum-graph vertex couplings by singularly scaled potentials

Pavel Exner, Stepan S. Manko

We investigate the limit properties of a family of Schrödinger operators of the form $H_\varepsilon= -\frac{\mathrm{d}^2}{\mathrm{d}x^2}+ \frac{λ(\varepsilon)}{\varepsilon^2}Q \big…