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math.SP2001★ 17 cited
Schrödinger operators with singular Gordon potentials
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
Singular Gordon potentials are defined to be distributions from the space W^{-1}_{2,unif}(R) that are sufficiently fast approximated by periodic ones. We prove that Schrödinger ope…
math.SP2001★ 25 cited
Schrödinger Operators with Periodic Singular Potentials
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
We show that formal Schrödinger operators with singular potentials from the space W^{-1}_{2,unif}(R) can be naturally defined to give selfadjoint and bounded below operators, which…