Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 116-122 |
| Number of pages | 7 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 675 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 4 May 2009 |
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Keywords
- Many-body quantum mechanics
- Schrödinger superalgebra
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Remark on quantum mechanics with N = 2 Schrödinger supersymmetry. / Galajinsky, Anton; Masterov, Ivan Victorovich.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 675, No. 1, 04.05.2009, p. 116-122.Research output: Contribution to journal › Article
}
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
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 -