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arxiv: 1303.4055 · v1 · pith:FQCBZFM2new · submitted 2013-03-17 · 🧮 math-ph · math.CA· math.MP· math.SP

1-D Schr\"odinger operators with local point interactions: a review

classification 🧮 math-ph math.CAmath.MPmath.SP
keywords operatorstheoryinteractionslocalodingerpointrecentreview
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We review recent developments in the theory of 1-D Schr\"odinger operators with local point interactions on a discrete set. The progress in this area was stimulated by recent advances in the extension theory of symmetric operators and in the theory of ordinary differential operators with distributional coefficients.

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