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 δ and δ′ 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.
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Boya, L.J., Sudarshan, E.C.G. Point interactions from flux conservation. Int J Theor Phys 35, 1063–1068 (1996). https://doi.org/10.1007/BF02302404
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DOI: https://doi.org/10.1007/BF02302404