most citedMagnetic square lattice with vertex coupling of a preferred orientation

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math-ph2023★ 2 cited

Magnetic square lattice with vertex coupling of a preferred orientation

Marzieh Baradaran, Pavel Exner, Jiří Lipovský

We analyze a square lattice graph in a magnetic field assuming that the vertex coupling is of a particular type violating the time reversal invariance. Calculating the spectrum num…

math-ph2022

Spectral transition model with the general contact interaction

Pavel Exner, Jiří Lipovský

Using a technique introduced by Sergei Naboko, we analyze a generalization of the parameter-controlled model of spectral transition, originally proposed by Smilansky and Solomyak,…