The odd-order Pais–Uhlenbeck oscillator; Nuclear Physics B; Vol. 907
| Parent link: | Nuclear Physics B: Scientific Journal.— , 1984- Vol. 907.— 2016.— [P. 495-508] |
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| Achoimre: | Title screen We consider a Hamiltonian formulation of the (2n+1)-order generalization of the Pais–Uhlenbeck oscillator with distinct frequencies of oscillation. This system is invariant under time translations. However, the corresponding Noether integral of motion is unbounded from below and can be presented as a direct sum of 2n one-dimensional harmonic oscillators with an alternating sign. If this integral of motion plays a role of a Hamiltonian, a quantum theory of the Pais–Uhlenbeck oscillator faces a ghost problem. We construct an alternative canonical formulation for the system under study to avoid this nasty feature. Режим доступа: по договору с организацией-держателем ресурса |
| Teanga: | Béarla |
| Foilsithe / Cruthaithe: |
2016
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| Rochtain ar líne: | http://dx.doi.org/10.1016/j.nuclphysb.2016.04.025 |
| Formáid: | Leictreonach Caibidil leabhair |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=650083 |
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| 200 | 1 | |a The odd-order Pais–Uhlenbeck oscillator |f I. V. Masterov | |
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| 300 | |a Title screen | ||
| 320 | |a [References: 61 tit.] | ||
| 330 | |a We consider a Hamiltonian formulation of the (2n+1)-order generalization of the Pais–Uhlenbeck oscillator with distinct frequencies of oscillation. This system is invariant under time translations. However, the corresponding Noether integral of motion is unbounded from below and can be presented as a direct sum of 2n one-dimensional harmonic oscillators with an alternating sign. If this integral of motion plays a role of a Hamiltonian, a quantum theory of the Pais–Uhlenbeck oscillator faces a ghost problem. We construct an alternative canonical formulation for the system under study to avoid this nasty feature. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Nuclear Physics B |o Scientific Journal |d 1984- | ||
| 463 | |t Vol. 907 |v [P. 495-508] |d 2016 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Masterov |b I. V. |c physicist |c research engineer, Senior Lecturer of Tomsk Polytechnic University, candidate of physico-mathematical Sciences |f 1987- |g Ivan Viktorovich |3 (RuTPU)RU\TPU\pers\35458 |9 18655 | |
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