Quantum-graph vertex couplings: some old and new approximations

Stepan Manko

Mathematica Bohemica (2014)

  • Volume: 139, Issue: 2, page 259-267
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Manko, Stepan. "Quantum-graph vertex couplings: some old and new approximations." Mathematica Bohemica 139.2 (2014): 259-267. <http://eudml.org/doc/261946>.

@article{Manko2014,
abstract = {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.},
author = {Manko, Stepan},
journal = {Mathematica Bohemica},
keywords = {quantum graph; vertex coupling; singularly scaled potential; quantum graph; vertex coupling; singularly scaled potential},
language = {eng},
number = {2},
pages = {259-267},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Quantum-graph vertex couplings: some old and new approximations},
url = {http://eudml.org/doc/261946},
volume = {139},
year = {2014},
}

TY - JOUR
AU - Manko, Stepan
TI - Quantum-graph vertex couplings: some old and new approximations
JO - Mathematica Bohemica
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 139
IS - 2
SP - 259
EP - 267
AB - 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.
LA - eng
KW - quantum graph; vertex coupling; singularly scaled potential; quantum graph; vertex coupling; singularly scaled potential
UR - http://eudml.org/doc/261946
ER -

References

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