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001 | 640330 | ||
005 | 20231030040350.0 | ||
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090 | _a640330 | ||
100 | _a20150415a2013 k y0engy50 ba | ||
101 | 0 | _aeng | |
102 | _aUS | ||
135 | _adrcn ---uucaa | ||
181 | 0 | _ai | |
182 | 0 | _ab | |
200 | 1 |
_aDynamical realizations of l-conformal Newton–Hooke group _fA. V. Galajinsky, I. V. Masterov |
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203 |
_aText _celectronic |
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300 | _aTitle screen | ||
320 | _a[References: p. 194-195 (24 tit.)] | ||
330 | _aThe method of nonlinear realizations and the technique previously developed in [A. Galajinsky, I. Masterov, Nucl. Phys. B 866 (2013) 212, arXiv:1208.1403] are used to construct a dynamical system without higher derivative terms, which holds invariant under the l-conformal Newton–Hooke group. A configuration space of the model involves coordinates, which parametrize a particle moving in d spatial dimensions and a conformal mode, which gives rise to an effective external field. The dynamical system describes a generalized multi-dimensional oscillator, which undergoes accelerated/decelerated motion in an ellipse in accord with evolution of the conformal mode. Higher derivative formulations are discussed as well. It is demonstrated that the multi-dimensional Pais–Uhlenbeck oscillator enjoys the View the MathML source-conformal Newton–Hooke symmetry for a particular choice of its frequencies. | ||
333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
461 |
_tPhysics Letters B _oParticle Physics, Nuclear Physics and Cosmology |
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463 |
_tVol. 723, № 1–3 _v[P. 190–195] _d2013 |
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610 | 1 | _aэлектронный ресурс | |
610 | 1 | _aтруды учёных ТПУ | |
610 | 1 | _adynamical realizations of l-conformal Newton–Hooke group | |
610 | 1 | _adynamical realizations | |
610 | 1 | _apais–Uhlenbeck oscillator | |
700 | 1 |
_aGalajinsky _bA. V. _cDoctor of Physical and Mathematical Sciences, Tomsk Polytechnic University (TPU), Department of Higher Mathematics and Mathematical Physics of the Institute of Physics and Technology (HMMPD IPT) _cProfessor of the TPU _f1971- _gAnton Vladimirovich _2stltpush _3(RuTPU)RU\TPU\pers\27878 |
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701 | 1 |
_aMasterov _bI. V. _cphysicist _cassistant at Tomsk Polytechnic University _f1987- _gIvan Viktorovich _2stltpush _3(RuTPU)RU\TPU\pers\35458 |
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801 | 2 |
_aRU _b63413507 _c20160321 _gRCR |
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856 | 4 | _uhttp://dx.doi.org/10.1016/j.physletb.2013.04.054 | |
942 | _cCF |