49 citations · 169 across the 17 of their papers we have counts for
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A phenomenon of splitting resonant-tunneling one-point interactions
A. V. Zolotaryuk
The so-called -interaction as a particular example in Kurasov's distribution theory developed on the space of discontinuous (at the point of singularity) test functions, is ide…
Families of one-point interactions resulting from the squeezing limit of the sum of two- and three-delta-like potentials
A. V. Zolotaryuk
Several families of one-point interactions are derived from the system consisting of two and three -potentials which are regularized by piecewise constant functions. In physical…
Controlling a resonant transmission across the -potential: the inverse problem
A. V. Zolotaryuk, Y. Zolotaryuk
Recently, the non-zero transmission of a quantum particle through the one-dimensional singular potential given in the form of the derivative of Dirac's delta function, , w…
Boundary conditions for the states with resonant tunnelling across the -potential
A. V. Zolotaryuk
The one-dimensional Schrödinger equation with the point potential in the form of the derivative of Dirac's delta function, with being a coupling constant, is investiga…
Transparency Resonances and Bound States of the Junction
P. L. Christiansen, A. V. Zolotaryuk, V. N. Ermakov +1
Exact positive and negative energy solutions for the eigenvalue problem of the Schrödinger equation in one dimension with a interaction are found and analyzed. An infini…