2014
DOI: 10.1016/j.jmaa.2013.07.035
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Large coupling convergence with negative perturbations

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Cited by 7 publications
(5 citation statements)
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“…In the recurrent case, by virtue of Theorem 1.1 of [BBFB14], the trace formĚ 1 has the following description…”
Section: Has No Accumulation Pointmentioning
confidence: 99%
“…In the recurrent case, by virtue of Theorem 1.1 of [BBFB14], the trace formĚ 1 has the following description…”
Section: Has No Accumulation Pointmentioning
confidence: 99%
“…The present work is dedicated to the memory of Johannes F. Brasche (1956Brasche ( -2018. His first works on Schrödinger operators with measure potentials [1,6] served as a basis for the rigorous mathematical study of a large class of quantum-mechanical models, and the works of last years on large coupling convergence [3] suggested a far-reaching abstract generalization of strongly coupled δ-interactions, which will certainly lead to further progress in the domain.…”
Section: Introductionmentioning
confidence: 99%
“…While it is difficult to investigate the operator H b , it is trivial to determine the spectral properties of the limit operator and results on the rate of convergence may be used for a discussion of the Hamiltonian H b . We refer to [2,3,4,5,6,8,9,13] for a detailed analysis of large coupling convergence of regular and generalized Schrödinger operators as well as other kinds of operators. Another important class of examples is provided by Schrödinger operators with singular potentials.…”
Section: Introductionmentioning
confidence: 99%