On a continuum limit of discrete Schrödinger operators on square lattice (Q2043663)
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| English | On a continuum limit of discrete Schrödinger operators on square lattice |
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On a continuum limit of discrete Schrödinger operators on square lattice (English)
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3 August 2021
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Summary: The norm resolvent convergence of discrete Schrödinger operators to a continuum Schrödinger operator in the continuum limit is proved under relatively weak assumptions. This result implies, in particular, the convergence of the spectrum with respect to the Hausdorff distance.
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discrete Schrödinger operators
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continuum limit
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convergence of the spectrum
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