Stark effect in a hydrogenic atom or ion: treated by the phase-integral method with adjoined papers by A. Hokback and P. O. Froman.
This book treats the Stark effect of a hydrogenic atom or ion in a homogeneous electric field. It begins with a thorough review of previous work in this field since 1926. After the Schrodinger equation has been separated with respect to time dependence, centre of mass motion and internal motion, fol...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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London
Imperial College Press
c2008
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| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book treats the Stark effect of a hydrogenic atom or ion in a homogeneous electric field. It begins with a thorough review of previous work in this field since 1926. After the Schrodinger equation has been separated with respect to time dependence, centre of mass motion and internal motion, followed by a discussion of its eigenfunctions, the exact development in time of the probability amplitude for a decaying state is obtained by means of a formula analogous to the Fock-Krylov theorem. From this formula one obtains by means of the phase-integral approximation generated from a particular base function non-relativistic formulas for profiles, energies and half-widths of the Stark levels. These formulas are then transformed into formulas expressed in terms of complete elliptic integrals. The formulas thus obtained are used for the calculation of energies and half-widths of 198 different Stark states, which are compared with the corresponding results obtained by other authors with the use of other methods. An analysis of this material indicates that the energy values obtained by the phase-integral method are at least as accurate as those obtained by other methods in more than half of the 198 cases. The book presents one of the most comprehensive asymptotic treatments of the Stark effect in atomic hydrogen that have been published |
| Beschreibung: | viii, 153 p. ill |
| ISBN: | 1860949258 9781860949258 |
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| 520 | |a This book treats the Stark effect of a hydrogenic atom or ion in a homogeneous electric field. It begins with a thorough review of previous work in this field since 1926. After the Schrodinger equation has been separated with respect to time dependence, centre of mass motion and internal motion, followed by a discussion of its eigenfunctions, the exact development in time of the probability amplitude for a decaying state is obtained by means of a formula analogous to the Fock-Krylov theorem. From this formula one obtains by means of the phase-integral approximation generated from a particular base function non-relativistic formulas for profiles, energies and half-widths of the Stark levels. These formulas are then transformed into formulas expressed in terms of complete elliptic integrals. The formulas thus obtained are used for the calculation of energies and half-widths of 198 different Stark states, which are compared with the corresponding results obtained by other authors with the use of other methods. An analysis of this material indicates that the energy values obtained by the phase-integral method are at least as accurate as those obtained by other methods in more than half of the 198 cases. The book presents one of the most comprehensive asymptotic treatments of the Stark effect in atomic hydrogen that have been published | ||
| 650 | 4 | |a Stark effect | |
| 650 | 4 | |a Optical spectroscopy | |
| 650 | 4 | |a Quantum theory | |
| 650 | 4 | |a Schrodinger equation | |
| 700 | 1 | |a Froman, Per Olof |e Sonstige |4 oth | |
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| author | Froman, Nanny |
| author_facet | Froman, Nanny |
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| author_sort | Froman, Nanny |
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| ctrlnum | (ZDB-124-WOP)00001806 (OCoLC)1012724977 (DE-599)BVBBV044633739 |
| dewey-full | 535.84 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 535 - Light and related radiation |
| dewey-raw | 535.84 |
| dewey-search | 535.84 |
| dewey-sort | 3535.84 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV044633739 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:43Z |
| institution | BVB |
| isbn | 1860949258 9781860949258 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030031711 |
| oclc_num | 1012724977 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | viii, 153 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Imperial College Press |
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| spelling | Froman, Nanny Verfasser aut Stark effect in a hydrogenic atom or ion treated by the phase-integral method with adjoined papers by A. Hokback and P. O. Froman. Nanny Froman, Per Olof Froman London Imperial College Press c2008 viii, 153 p. ill txt rdacontent c rdamedia cr rdacarrier This book treats the Stark effect of a hydrogenic atom or ion in a homogeneous electric field. It begins with a thorough review of previous work in this field since 1926. After the Schrodinger equation has been separated with respect to time dependence, centre of mass motion and internal motion, followed by a discussion of its eigenfunctions, the exact development in time of the probability amplitude for a decaying state is obtained by means of a formula analogous to the Fock-Krylov theorem. From this formula one obtains by means of the phase-integral approximation generated from a particular base function non-relativistic formulas for profiles, energies and half-widths of the Stark levels. These formulas are then transformed into formulas expressed in terms of complete elliptic integrals. The formulas thus obtained are used for the calculation of energies and half-widths of 198 different Stark states, which are compared with the corresponding results obtained by other authors with the use of other methods. An analysis of this material indicates that the energy values obtained by the phase-integral method are at least as accurate as those obtained by other methods in more than half of the 198 cases. The book presents one of the most comprehensive asymptotic treatments of the Stark effect in atomic hydrogen that have been published Stark effect Optical spectroscopy Quantum theory Schrodinger equation Froman, Per Olof Sonstige oth http://www.worldscientific.com/worldscibooks/10.1142/P528#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Froman, Nanny Stark effect in a hydrogenic atom or ion treated by the phase-integral method with adjoined papers by A. Hokback and P. O. Froman. Stark effect Optical spectroscopy Quantum theory Schrodinger equation |
| title | Stark effect in a hydrogenic atom or ion treated by the phase-integral method with adjoined papers by A. Hokback and P. O. Froman. |
| title_auth | Stark effect in a hydrogenic atom or ion treated by the phase-integral method with adjoined papers by A. Hokback and P. O. Froman. |
| title_exact_search | Stark effect in a hydrogenic atom or ion treated by the phase-integral method with adjoined papers by A. Hokback and P. O. Froman. |
| title_full | Stark effect in a hydrogenic atom or ion treated by the phase-integral method with adjoined papers by A. Hokback and P. O. Froman. Nanny Froman, Per Olof Froman |
| title_fullStr | Stark effect in a hydrogenic atom or ion treated by the phase-integral method with adjoined papers by A. Hokback and P. O. Froman. Nanny Froman, Per Olof Froman |
| title_full_unstemmed | Stark effect in a hydrogenic atom or ion treated by the phase-integral method with adjoined papers by A. Hokback and P. O. Froman. Nanny Froman, Per Olof Froman |
| title_short | Stark effect in a hydrogenic atom or ion |
| title_sort | stark effect in a hydrogenic atom or ion treated by the phase integral method with adjoined papers by a hokback and p o froman |
| title_sub | treated by the phase-integral method with adjoined papers by A. Hokback and P. O. Froman. |
| topic | Stark effect Optical spectroscopy Quantum theory Schrodinger equation |
| topic_facet | Stark effect Optical spectroscopy Quantum theory Schrodinger equation |
| url | http://www.worldscientific.com/worldscibooks/10.1142/P528#t=toc |
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