Stone’s theorem and its applications to particle properties.
| dc.contributor.author | Atinga, Awudu | |
| dc.contributor.author | . | |
| dc.date.accessioned | 2021-05-25T12:39:57Z | |
| dc.date.accessioned | 2023-04-19T03:03:14Z | |
| dc.date.available | 2021-05-25T12:39:57Z | |
| dc.date.available | 2023-04-19T03:03:14Z | |
| dc.date.issued | October 27, 2019 | |
| dc.description | A thesis submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Master of Philosophy (Pure Mathematics) | en_US |
| dc.description.abstract | Most of the physical laws associated with quantum mechanics are formulated in a math ematical framework where observables are represented as self-adjoint operators in Hilbert space. These self-adjoint operators are unbounded and therefore very hard to work with. Stone’s theorem makes it a little bit easier by establishing a bijection between a strongly continuous one-parameter group and self-adjoint operators. We began with the needed terminology, and then proved the stones theorem. In addition, we have indicated some applications of Stone’s theorem , particularly those associated with quantum mechanics (dilation and rotation in the Cartesian coordinates) | en_US |
| dc.description.sponsorship | KNUST | en_US |
| dc.identifier.uri | https://ir.knust.edu.gh/handle/123456789/13810 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Stone theorem | en_US |
| dc.subject | Applications | en_US |
| dc.subject | Particle properties | en_US |
| dc.title | Stone’s theorem and its applications to particle properties. | en_US |
| dc.type | Thesis | en_US |
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