Quantum oscillator on CPn in a constant magnetic field
| Parent link: | Physical Review D: Particles, Fields, Gravitation, and Cosmology Vol. 70, iss. 8.— 2004.— [085013, 7 p.] |
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| मुख्य लेखक: | |
| अन्य लेखक: | , |
| सारांश: | Title screen We construct the quantum oscillator interacting with a constant magnetic field on complex projective spaces CPN, as well as on their noncompact counterparts, i.e., the N-dimensional Lobachewski spaces LN. We find the spectrum of this system and the complete basis of wave functions. Surprisingly, the inclusion of a magnetic field does not yield any qualitative change in the energy spectrum. For N>1 the magnetic field does not break the superintegrability of the system, whereas for N=1 it preserves the exact solvability of the system. We extend these results to the cones constructed over CPN and LN, and perform the Kustaanheimo-Stiefel transformation of these systems to the three dimensional Coulomb-like systems. Режим доступа: по договору с организацией-держателем ресурса |
| भाषा: | अंग्रेज़ी |
| प्रकाशित: |
2004
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| विषय: | |
| ऑनलाइन पहुंच: | http://dx.doi.org/10.1103/PhysRevD.70.085013 http://arxiv.org/abs/hep-th/0406184 |
| स्वरूप: | इलेक्ट्रोनिक पुस्तक अध्याय |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641527 |
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| 200 | 1 | |a Quantum oscillator on CPn in a constant magnetic field |f S. Bellucci, A. P. Nersessian, A. Yeranyan | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 16 tit.] | ||
| 330 | |a We construct the quantum oscillator interacting with a constant magnetic field on complex projective spaces CPN, as well as on their noncompact counterparts, i.e., the N-dimensional Lobachewski spaces LN. We find the spectrum of this system and the complete basis of wave functions. Surprisingly, the inclusion of a magnetic field does not yield any qualitative change in the energy spectrum. For N>1 the magnetic field does not break the superintegrability of the system, whereas for N=1 it preserves the exact solvability of the system. We extend these results to the cones constructed over CPN and LN, and perform the Kustaanheimo-Stiefel transformation of these systems to the three dimensional Coulomb-like systems. | ||
| 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. 70, iss. 8 |v [085013, 7 p.] |d 2004 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Bellucci |b S. |g Stefano | |
| 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 | |
| 701 | 1 | |a Yeranyan |b A. |g Armen | |
| 801 | 2 | |a RU |b 63413507 |c 20150521 |g RCR | |
| 856 | 4 | |u http://dx.doi.org/10.1103/PhysRevD.70.085013 | |
| 856 | 4 | |u http://arxiv.org/abs/hep-th/0406184 | |
| 942 | |c CF | ||