Alim Sukhtayev

activity

20142024

most citedThe Morse and Maslov Indices for Schrödinger Operators

6 citations · 15 across the 6 of their papers we have counts for

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math.SP2024

Splitting Quantum Graphs

Nathaniel Smith, Alim Sukhtayev

We derive a counting formula for the eigenvalues of Schrödinger operators with self-adjoint boundary conditions on quantum star graphs. More specifically, we develop techniques usi…

math.SP2014

The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials

Graham Cox, Christopher K. R. T. Jones, Yuri Latushkin +1

We study the Schrödinger operator $L = - Δ + V$ on a star-shaped domain $Ω$ in $R^{d}$ with Lipschitz boundary $\partial Ω$ . The operator is equipped with quite general Dirichlet-…