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http://hdl.handle.net/2445/121893
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DC Field | Value | Language |
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dc.contributor.advisor | Mas Blesa, Albert | - |
dc.contributor.author | Estévez Estudis, Joan | - |
dc.date.accessioned | 2018-04-26T09:44:49Z | - |
dc.date.available | 2018-04-26T09:44:49Z | - |
dc.date.issued | 2017-06-29 | - |
dc.identifier.uri | http://hdl.handle.net/2445/121893 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Albert Mas Blesa | ca |
dc.description.abstract | [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. | ca |
dc.format.extent | 31 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | ca |
dc.rights | cc-by-nc-nd (c) Joan Estévez Estudis, 2017 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | - |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Teoria d'operadors | - |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Espais de Sobolev | ca |
dc.subject.classification | Teoria quàntica | ca |
dc.subject.other | Operator theory | - |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Sobolev spaces | en |
dc.subject.other | Quantum theory | en |
dc.title | Self-adjoint extensions for quantum physics | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | memòria | 235.18 kB | Adobe PDF | View/Open |
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