Formally self-adjoint Schrödinger operators with real measurable potential (Q2925037)
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scientific article; zbMATH DE number 6359061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formally self-adjoint Schrödinger operators with real measurable potential |
scientific article; zbMATH DE number 6359061 |
Statements
20 October 2014
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Schrödinger operator
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Trotter-Kato theorem
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weak convergence
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contraction \(C_{0}\)-semigroups
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Formally self-adjoint Schrödinger operators with real measurable potential (English)
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In this paper, the author studies the solution of Schrödinger equation with real measurable potential. Here, the Schrödinger operator is formally selfadjoint (but not selfadjoint) and generates a \(C_0\) semigroup of contractions (but not a \(C_0\) group), and the potential function is locally essentially bounded except a closed set of measure zero. The author employs the approximation approach to construct an approximative equation and proves that the solution of the approximative equation converges weakly to the solution of the Schrödinger equation.
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0.756492555141449
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0.7533041834831238
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