Schrodinger Equations for Higher Order Non-relativistic Particles and N-Galilean Conformal Symmetry - INSPIRE

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Schrodinger Equations for Higher Order Non-relativistic Particles and N-Galilean Conformal Symmetry

Joaquim Gomis
(
- Barcelona U., ECM and
- Barcelona U.
)
,
Kiyoshi Kamimura
(
- Toho U.
)

Sep, 2011

10 pages

Published in:

Phys.Rev.D 85 (2012) 045023

e-Print:

1109.3773 [hep-th]

DOI:

10.1103/PhysRevD.85.045023

Report number:

ICCUB-11-166,
UB-ECM-PF-11-61

View in:

ADS Abstract Service

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Abstract: (arXiv)

We consider Schrodinger equations for a non-relativistic particle obeying N+1-th order higher derivative classical equation of motion. These equations are invariant under N(odd)-extended Galilean conformal (NGC) algebras in general d+1 dimensions. In 2+1 dimensions, the exotic Schrodinger equations are invariant under N(even)-GCA.

Note:

14 pages, no figure

02.20.Sv
45.20.D-
03.65.-w
particle: nonrelativistic
field equations: classical
symmetry: conformal
derivative: high
higher-order
Schroedinger equation
algebra: Galilei

References(24)

Figures(0)

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