Atoms in compactified universes
It is the purpose of this thesis to investigate the stability and energy spectra of the non-relativistic hydrogen atom in four-dimensional spaces. The additional spatial dimension is considered to be either infinite or curled-up in a circle of radius R. After a short historical introduction, we stud...
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| Typ dokumentu: | VŠ práce nebo rukopis |
| Jazyk: | Angličtina |
| Vydáno: |
2007
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| Témata: | |
| On-line přístup: | http://is.muni.cz/th/52540/prif_m/ |
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| 100 | 1 | |a Bureš, Martin |* [absolvent PřírF MU, fyzika] |% UČO 52540 |4 dis | |
| 242 | 1 | 0 | |a Atoms in compactified universes |y eng |
| 245 | 1 | 0 | |a Atoms in compactified universes |h [rukopis] / |c Martin Bureš |
| 260 | |c 2007 | ||
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| 500 | |a Vedoucí práce: Rikard von Unge. | ||
| 502 | |a Diplomová práce (Mgr.)--Masarykova univerzita, Přírodovědecká fakulta, 2007. | ||
| 520 | 2 | 9 | |a It is the purpose of this thesis to investigate the stability and energy spectra of the non-relativistic hydrogen atom in four-dimensional spaces. The additional spatial dimension is considered to be either infinite or curled-up in a circle of radius R. After a short historical introduction, we study the case of spaces with an infinite extra dimension. We solve the Schroedinger equation of the hydrogen atom and analyze the results. Considerable attention is devoted to discussion of the three qualitatively distinct solutions that appear. We argue that there is no stable hydrogen atom in this case. The second part of this work deals with four-dimensional spaces, where one of the space-like dimensions is compactified, i.e. it has the topology of a circle at a very small radius. We solve the Schroedinger equation and explore the main task, namely, how an additional curled-up dimension affects the spectrum of hydrogen atoms. Finally, we argue that if the potential is sufficiently strong, th. |9 eng |
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