Higher-derivative generalization of conformal mechanics

被引：5
作者：
Baranovsky, Oleg [1 ]
机构：
[1] Tomsk Polytech Univ, Lab Math Phys, Lenin Ave 30, Tomsk 634050, Russia
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 08期
关键词：
PAIS-UHLENBECK OSCILLATOR; KINEMATICAL INVARIANCE GROUP; NEWTON-HOOKE ALGEBRAS; DYNAMICAL REALIZATIONS; PHENOMENOLOGICAL LAGRANGIANS; NIEDERERS TRANSFORMATION; QUANTUM-MECHANICS; CALOGERO MODELS; SYMMETRY;
D O I：
10.1063/1.4986367
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Higher-derivative analogs of multidimensional conformal particle and many-body conformal mechanics are constructed. Their Newton-Hooke counterparts are derived by applying appropriate coordinate transformations. Published by AIP Publishing.
引用
收藏
页数：6
相关论文
共 32 条
  • [1] Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
    Andrzejewski, K.
    Galajinsky, A.
    Gonera, J.
    Masterov, I.
    [J]. NUCLEAR PHYSICS B, 2014, 885 : 150 - 162
  • [2] Dynamical interpretation of nonrelativistic conformal groups
    Andrzejewski, K.
    Gonera, J.
    [J]. PHYSICS LETTERS B, 2013, 721 (4-5) : 319 - 322
  • [3] Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
    Andrzejewski, Krzysztof
    [J]. NUCLEAR PHYSICS B, 2015, 901 : 216 - 228
  • [4] Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
    Andrzejewski, Krzysztof
    [J]. NUCLEAR PHYSICS B, 2014, 889 : 333 - 350
  • [5] Conformal Newton-Hooke algebras, Niederer's transformation and Pais-Uhlenbeck oscillator
    Andrzejewski, Krzysztof
    [J]. PHYSICS LETTERS B, 2014, 738 : 405 - 411
  • [6] STRUCTURE OF PHENOMENOLOGICAL LAGRANGIANS .2.
    CALLAN, CG
    COLEMAN, S
    WESS, J
    ZUMINO, B
    [J]. PHYSICAL REVIEW, 1969, 177 (5P1): : 2247 - &
  • [7] SOLUTION OF ONE-DIMENSIONAL N-BODY PROBLEMS WITH QUADRATIC AND/OR INVERSELY QUADRATIC PAIR POTENTIALS
    CALOGERO, F
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (03) : 419 - &
  • [8] STRUCTURE OF PHENOMENOLOGICAL LAGRANGIANS .I.
    COLEMAN, S
    WESS, J
    ZUMINO, B
    [J]. PHYSICAL REVIEW, 1969, 177 (5P1): : 2239 - &
  • [9] CONFORMAL INVARIANCE IN QUANTUM-MECHANICS
    DEALFARO, V
    FUBINI, S
    FURLAN, G
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1976, 34 (04): : 569 - 612
  • [10] Conformal Galilei groups, Veronese curves and Newton-Hooke spacetimes
    Duval, C.
    Horvathy, P. A.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (33)
1234