Geodesic
Quantum-graph vertex couplings: some old and new approximations
Mathematica Bohemica, Tome 139 (2014) no. 2, pp. 259-267.

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In 1986 P. Šeba in the classic paper considered one-dimensional pseudo-Hamiltonians containing the first derivative of the Dirac delta function. Although the paper contained some inaccuracy, it was one of the starting points in approximating one-dimension self-adjoint couplings. In the present paper we develop the above results to the case of quantum systems with complex geometry.
DOI : 10.21136/MB.2014.143853
Classification : 34B45, 34L40, 81Q35
Keywords: quantum graph; vertex coupling; singularly scaled potential 
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Manko, Stepan. Quantum-graph vertex couplings: some old and new approximations. Mathematica Bohemica, Tome 139 (2014) no. 2, pp. 259-267. doi : 10.21136/MB.2014.143853. http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.143853/

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