Isospin particle systems on quaternionic projective spaces; Physical Review D; Vol. 87, iss. 4
| Parent link: | Physical Review D: Particles, Fields, Gravitation, and Cosmology Vol. 87, iss. 4.— 2013.— [045005] |
|---|---|
| Other Authors: | , , , |
| Summary: | Title screen We construct the isospin particle system on n-dimensional quaternionic projective spaces in the presence of the Belavin-Polyakov-Schwarz-Tyupkin instanton by the reduction from the free particle on (2n+1)-dimensional complex projective space. Then we add to this system a “quaternionic oscillator potential” and show that this oscillatorlike system is superintegrable. We show that, besides the analogs of quadratic constants of motion of the spherical (Higgs) and CPn oscillators, it possesses the third-order constants of motion, which are functionally independent from the quadratic ones. Режим доступа: по договору с организацией-держателем ресурса |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1103/PhysRevD.87.045005 http://arxiv.org/abs/1212.1663 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641528 |
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| 200 | 1 | |a Isospin particle systems on quaternionic projective spaces |f S. Bellucci [et al.] | |
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| 300 | |a Title screen | ||
| 320 | |a [References: 14 tit.] | ||
| 330 | |a We construct the isospin particle system on n-dimensional quaternionic projective spaces in the presence of the Belavin-Polyakov-Schwarz-Tyupkin instanton by the reduction from the free particle on (2n+1)-dimensional complex projective space. Then we add to this system a “quaternionic oscillator potential” and show that this oscillatorlike system is superintegrable. We show that, besides the analogs of quadratic constants of motion of the spherical (Higgs) and CPn oscillators, it possesses the third-order constants of motion, which are functionally independent from the quadratic ones. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Physical Review D |o Particles, Fields, Gravitation, and Cosmology |o Scientific Journal | ||
| 463 | |t Vol. 87, iss. 4 |v [045005] |d 2013 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 701 | 1 | |a Bellucci |b S. |g Stefano | |
| 701 | 1 | |a Krivonos |b S. |g Sergey | |
| 701 | 1 | |a Nersessian |b A. P. |c physicist |c Professor of Tomsk Polytechnic University |f 1964- |g Armen Petrosovich |3 (RuTPU)RU\TPU\pers\34605 |9 17967 | |
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| 856 | 4 | |u http://arxiv.org/abs/1212.1663 | |
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