Remark on quantum mechanics with N=2 Schrodinger supersymmetry

Feb, 2009
12 pages
Published in:
  • Phys.Lett.B 675 (2009) 116-122
e-Print:
Report number:
  • LMP-TPU-3-09

Citations per year

2009201220152018202102468
Abstract: (Elsevier)
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.
  • 11.30.-j
  • 11.30.Pb
  • 03.65.-w
  • 11.25.Hf
  • Schrödinger superalgebra
  • Many-body quantum mechanics
  • symmetry: Galilei
  • transformation: unitarity
  • sparticle: decoupling
  • conformal