Abstract:
A connection between N=2 supersymmetric quantum mechanics and the
inverse scattering problem is established. In contrast to N=1 supersymmetric quantum mechanics, construction of the isospectral Hamiltonians in the considered approach reveals the possibility of rearrangement of the spectrum, this affecting not only the ground
state but also the excited states.
Citation:
V. P. Berezovoi, A. I. Pashnev, “N=2 supersymmetric quantum mechanics and the inverse scattering problem”, TMF, 74:3 (1988), 392–398; Theoret. and Math. Phys., 74:3 (1988), 264–268
This publication is cited in the following 15 articles:
Steven Duplij, “Polyadic Supersymmetry”, Universe, 11:4 (2025), 125
V P Berezovoj, A J Nurmagambetov, “Nonstationary SQM/IST Correspondence and ${\cal CPT/PT}$-Invariant Paired Hamiltonians on the Line”, Progress of Theoretical and Experimental Physics, 2024:6 (2024)
Oikonomou V.K., “Low dimensional supersymmetries in SUSY Chern–Simons systems and geometrical implications”, Int. J. Geom. Methods Mod. Phys., 13:6 (2016), 1650083
Oikonomou V.K., “Extended Supersymmetric Structures in Gapped and Superconducting Graphene”, Int. J. Geom. Methods Mod. Phys., 12:10 (2015), 1550114
Konstantinos Kleidis, Vasilis K. Oikonomou, “Extended Supersymmetric Quantum Mechanics Algebras in Scattering States of Fermions off Domain Walls”, Int J Theor Phys, 54:3 (2015), 933
V. K. Oikonomou, “Localized Fermions on Superconducting Domain Walls and Extended Supersymmetry with Non-trivial Topological Charges”, Found Phys, 45:1 (2015), 44
Oikonomou V.K., “Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics”, Class. Quantum Gravity, 31:2 (2014), 025018
V K Oikonomou, “A relation betweenZ3-graded symmetry and shape invariant supersymmetric systems”, J. Phys. A: Math. Theor., 47:43 (2014), 435304
K. Kleidis, V. K. Oikonomou, “Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around Non-Abelian Vortices”, Int J Theor Phys, 53:8 (2014), 2623
V.K. Oikonomou, “Superconducting cosmic strings and one dimensional extended supersymmetric algebras”, Annals of Physics, 350 (2014), 179
Victor P. Berezovoj, Glib I. Ivashkevych, Mikhail I. Konchatnij, “Multi-Well Potentials in Quantum Mechanics and Stochastic Processes”, SIGMA, 6 (2010), 098, 18 pp.
V. S. Olkhovsky, S. P. Maydanyuk, E. Recami, “Non-self-adjoint operators as observables in quantum theory and nuclear physics”, Phys. Part. Nuclei, 41:4 (2010), 508
B. F. Samsonov, “Coherent states of potentials of soliton origin”, J. Exp. Theor. Phys., 87:6 (1998), 1046
V P Berezovoj, A I Pashnev, “Three-dimensional N=4 extended supersymmetric quantum mechanics”, Class. Quantum Grav., 8:12 (1991), 2141
V. P. Berezovoi, A. I. Pashnev, “One-dimensional extended supersymmetric quantum mechanics”, Theoret. and Math. Phys., 78:2 (1989), 206–211
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