Point interactions from flux conservation

DOI10.1007/BF02302404zbMATH Open0854.47038arXivhep-th/9410198OpenAlexW2006446634MaRDI QIDQ1919228

E. C. G. Sudarshan, Luis J. Boya

Publication date: 5 August 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Abstract: We show that the physical requirement of flux conservation can substitute for the usual matching conditions in point interactions. The study covers an arbitrary superposition of $delta$ and $delt{a}^{\prime }$ potentials on the real line and can be easily applied to higher dimensions. Our procedure can be seen as a physical interpretation of the deficiency index of some symmetric, but not self-adjoint operators.

Full work available at URL: https://arxiv.org/abs/hep-th/9410198

zbMATH Keywords

selfadjoint operatorsdeficiency indexpoint interactionsflux conservationsuperposition of \(\delta\) and \(\delta'\) potentials

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Title not available (Why is that?)
• Some remarks on the \(\delta\) '-interaction in one dimension
• Four-parameter point-interaction in 1D quantum systems

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