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| 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 |
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