Local symmetry algebra of the schrodinger equation for the hydrogen atom
| Parent link: | Theoretical and Mathematical Physics: Scientific Journal Vol. 106, iss. 2.— 1996.— [P. 227-236] |
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| প্রধান লেখক: | |
| অন্যান্য লেখক: | , |
| সংক্ষিপ্ত: | Title screen We completely describe all local symmetries (that is, differential operators of arbitrary finite orders) of the steady-state Schrodinger equation for the hydrogen atom. This description is based on the reduction of the Schrodinger equation for an isotropic harmonic oscillator to the Schrodinger equation for the hydrogen atom, which generates the reduction of the corresponding symmetry algebras. We show that for an n-dimensional isotropic harmonic oscillator, all nontrivial local symmetry operators belong to the enveloping algebra U (su(n, C)) of the algebra su(n, C). The basis of so(4, C) consists of rotation group generators and Runge-Lenz operators Режим доступа: по договору с организацией-держателем ресурса |
| ভাষা: | ইংরেজি |
| প্রকাশিত: |
1996
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | http://link.springer.com/article/10.1007%2FBF02071077 |
| বিন্যাস: | বৈদ্যুতিক গ্রন্থের অধ্যায় |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636593 |
MARC
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| 200 | 1 | |a Local symmetry algebra of the schrodinger equation for the hydrogen atom |f A. A. Drokin, A. V. Shapovalov, I. V. Shirokov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 236 (24 tit.)] | ||
| 330 | |a We completely describe all local symmetries (that is, differential operators of arbitrary finite orders) of the steady-state Schrodinger equation for the hydrogen atom. This description is based on the reduction of the Schrodinger equation for an isotropic harmonic oscillator to the Schrodinger equation for the hydrogen atom, which generates the reduction of the corresponding symmetry algebras. We show that for an n-dimensional isotropic harmonic oscillator, all nontrivial local symmetry operators belong to the enveloping algebra U (su(n, C)) of the algebra su(n, C). The basis of so(4, C) consists of rotation group generators and Runge-Lenz operators | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Theoretical and Mathematical Physics |o Scientific Journal | ||
| 463 | |t Vol. 106, iss. 2 |v [P. 227-236] |d 1996 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Drokin |b A. A. | |
| 701 | 1 | |a Shapovalov |b A. V. |c mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1949- |g Aleksandr Vasilyevich |3 (RuTPU)RU\TPU\pers\31734 | |
| 701 | 1 | |a Shirokov |b I. V. | |
| 801 | 2 | |a RU |b 63413507 |c 20180306 |g RCR | |
| 856 | 4 | |u http://link.springer.com/article/10.1007%2FBF02071077 | |
| 942 | |c CF | ||