Abstract
Conformal 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.
| Original language | English |
|---|---|
| Article number | 087701 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 78 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 6 Oct 2008 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Remark on quantum mechanics with conformal Galilean symmetry. / Galajinsky, A. V.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 78, No. 8, 087701, 06.10.2008.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Remark on quantum mechanics with conformal Galilean symmetry
AU - Galajinsky, A. V.
PY - 2008/10/6
Y1 - 2008/10/6
N2 - Conformal 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.
AB - Conformal 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.
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U2 - 10.1103/PhysRevD.78.087701
DO - 10.1103/PhysRevD.78.087701
M3 - Article
VL - 78
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 8
M1 - 087701
ER -