Berry phases for 3D Hartree type equations with a quadratic potential and a uniform magnetic field
| Parent link: | Journal of Physics A: Mathematical and Theoretical Vol. 40, № 6.— 2007.— [11129, 22 p.] |
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| Autore principale: | |
| Altri autori: | , |
| Riassunto: | Title screen A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for 3D Hartree type equations with a quadratic potential. The asymptotic parameter is 1/T, where T»1 is the adiabatic evolution time. A generalization of the Berry phase of the linear Schr\"odinger equation is formulated for the Hartree type equation. For the solutions constructed, the Berry phases are found in explicit form. |
| Lingua: | inglese |
| Pubblicazione: |
2007
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| Soggetti: | |
| Accesso online: | http://dx.doi.org/10.1088/1751-8113/40/36/013 |
| Natura: | Elettronico Capitolo di libro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636490 |
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| 200 | 1 | |a Berry phases for 3D Hartree type equations with a quadratic potential and a uniform magnetic field |f F. N. Litvinets, A. V. Shapovalov, A. Yu. Trifonov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 15 tit.] | ||
| 330 | |a A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for 3D Hartree type equations with a quadratic potential. The asymptotic parameter is 1/T, where T»1 is the adiabatic evolution time. A generalization of the Berry phase of the linear Schr\"odinger equation is formulated for the Hartree type equation. For the solutions constructed, the Berry phases are found in explicit form. | ||
| 461 | |t Journal of Physics A: Mathematical and Theoretical | ||
| 463 | |t Vol. 40, № 6 |v [11129, 22 p.] |d 2007 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Litvinets |b F. N. | |
| 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 Trifonov |b A. Yu. |c physicist, mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1963- |g Andrey Yurievich |3 (RuTPU)RU\TPU\pers\30754 | |
| 801 | 2 | |a RU |b 63413507 |c 20200311 |g RCR | |
| 856 | 4 | |u http://dx.doi.org/10.1088/1751-8113/40/36/013 | |
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