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100 _a20150417a2008 k y0engy50 ba
101 0 _aeng
102 _aNL
135 _adrcn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aRemark on quantum mechanics with conformal Galilean symmetry
_fA. V. Galajinsky
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: 26 tit.]
330 _aConformal Galilei algebra contains so(1,2) subalgebra which is the conformal algebra in one dimension. In this note, we generalize methods previously developed for one-dimensional many-body systems and construct a unitary map relating a quantum mechanics invariant under the conformal Galilean transformations to a set of decoupled particles for which the same symmetry is realized in a nonlocal way. Possible applications of the map are discussed.
333 _aРежим доступа: по договору с организацией-держателем ресурса
461 _tPhysics Letters B
_d1967-
463 _tVol. 78, № 8
_v[P. 087701]
_d2008
610 1 _aтруды учёных ТПУ
610 1 _aэлектронный ресурс
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
712 0 2 _aНациональный исследовательский Томский политехнический университет (ТПУ)
_bФизико-технический институт (ФТИ)
_bКафедра высшей математики и математической физики (ВММФ)
_h139
_2stltpush
_3(RuTPU)RU\TPU\col\18727
801 1 _aRU
_b63413507
_c20110209
801 2 _aRU
_b63413507
_c20180305
_gRCR
856 4 _uhttp://dx.doi.org/10.1103/PhysRevD.78.087701
942 _cCF