TY - JOUR
T1 - Remark on quantum mechanics with N = 2 Schrödinger supersymmetry
AU - Galajinsky, Anton
AU - Masterov, Ivan Victorovich
PY - 2009/5/4
Y1 - 2009/5/4
N2 - A unitary transformation which relates a many-body quantum mechanics with N = 2 Schrödinger supersymmetry to a set of decoupled superparticles is proposed. The simplification in dynamics is achieved at a price of a nonlocal realization of the full N = 2 Schrödinger superalgebra in a Hilbert space. The transformation is shown to be universal and applicable to conformal many-body models confined in a harmonic trap.
AB - A unitary transformation which relates a many-body quantum mechanics with N = 2 Schrödinger supersymmetry to a set of decoupled superparticles is proposed. The simplification in dynamics is achieved at a price of a nonlocal realization of the full N = 2 Schrödinger superalgebra in a Hilbert space. The transformation is shown to be universal and applicable to conformal many-body models confined in a harmonic trap.
KW - Many-body quantum mechanics
KW - Schrödinger superalgebra
UR - http://www.scopus.com/inward/record.url?scp=64649103387&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=64649103387&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2009.04.001
DO - 10.1016/j.physletb.2009.04.001
M3 - Article
AN - SCOPUS:64649103387
VL - 675
SP - 116
EP - 122
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1
ER -