| Title:
|
Quantum-graph vertex couplings: some old and new approximations (English) |
| Author:
|
Manko, Stepan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
139 |
| Issue:
|
2 |
| Year:
|
2014 |
| Pages:
|
259-267 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
quantum graph |
| Keyword:
|
vertex coupling |
| Keyword:
|
singularly scaled potential |
| MSC:
|
34B45 |
| MSC:
|
34L40 |
| MSC:
|
81Q35 |
| idZBL:
|
Zbl 06362257 |
| idMR:
|
MR3238838 |
| DOI:
|
10.21136/MB.2014.143853 |
| . |
| Date available:
|
2014-07-14T08:24:03Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143853 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
