| dc.contributor |
Mas Blesa, Albert |
|
| dc.creator |
Estévez Estudis, Joan |
|
| dc.date |
2018-04-26T09:44:49Z |
|
| dc.date |
2018-04-26T09:44:49Z |
|
| dc.date |
2017-06-29 |
|
| dc.date.accessioned |
2024-12-16T10:26:22Z |
|
| dc.date.available |
2024-12-16T10:26:22Z |
|
| dc.identifier |
http://hdl.handle.net/2445/121893 |
|
| dc.identifier.uri |
http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/20976 |
|
| dc.description |
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Albert Mas Blesa |
|
| dc.description |
[en] The main goal of this work is to provide techniques for finding self-adjoint extensions to unbounded operators, widely used in Quantum Physics. For that we use and study the Cayley method, concluding in the existance of a bijection between self-adjoint extensions and isometries between the deficiency subspaces of the Cayley transform. Using this knowledge we briefly parameterise the 1D, 2D and nD cases with possible self-adjoint extensions, and after introducing Sobolev spaces, we perform in more detail the search of self-adjoint extensions of the hamiltonian and laplacian operators. |
|
| dc.format |
31 p. |
|
| dc.format |
application/pdf |
|
| dc.language |
eng |
|
| dc.rights |
cc-by-nc-nd (c) Joan Estévez Estudis, 2017 |
|
| dc.rights |
http://creativecommons.org/licenses/by-nc-nd/3.0/es |
|
| dc.rights |
info:eu-repo/semantics/openAccess |
|
| dc.source |
Treballs Finals de Grau (TFG) - Matemàtiques |
|
| dc.subject |
Teoria d'operadors |
|
| dc.subject |
Treballs de fi de grau |
|
| dc.subject |
Espais de Sobolev |
|
| dc.subject |
Teoria quàntica |
|
| dc.subject |
Operator theory |
|
| dc.subject |
Bachelor's theses |
|
| dc.subject |
Sobolev spaces |
|
| dc.subject |
Quantum theory |
|
| dc.title |
Self-adjoint extensions for quantum physics |
|
| dc.type |
info:eu-repo/semantics/bachelorThesis |
|