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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 74, Number 3, Pages 392–398 (Mi tmf4484)  

This article is cited in 14 scientific papers (total in 14 papers)

N=2 supersymmetric quantum mechanics and the inverse scattering problem

V. P. Berezovoi, A. I. Pashnev
References:
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.
Received: 27.08.1986
English version:
Theoretical and Mathematical Physics, 1988, Volume 74, Issue 3, Pages 264–268
DOI: https://doi.org/10.1007/BF01016619
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
\Bibitem{BerPas88}
\by V.~P.~Berezovoi, A.~I.~Pashnev
\paper $N=2$ supersymmetric quantum mechanics and the inverse scattering problem
\jour TMF
\yr 1988
\vol 74
\issue 3
\pages 392--398
\mathnet{http://mi.mathnet.ru/tmf4484}
\zmath{https://zbmath.org/?q=an:0654.58035}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 74
\issue 3
\pages 264--268
\crossref{https://doi.org/10.1007/BF01016619}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U172700006}
Linking options:
  • https://www.mathnet.ru/eng/tmf4484
  • https://www.mathnet.ru/eng/tmf/v74/i3/p392
  • This publication is cited in the following 14 articles:
    1. V P Berezovoj, A J Nurmagambetov, “Nonstationary SQM/IST Correspondence and CPT/PT-Invariant Paired Hamiltonians on the Line”, Progress of Theoretical and Experimental Physics, 2024:6 (2024)  crossref
    2. Oikonomou V.K., “Low dimensional supersymmetries in SUSY Chern–Simons systems and geometrical implications”, Int. J. Geom. Methods Mod. Phys., 13:6 (2016), 1650083  crossref  mathscinet  zmath  isi  elib  scopus
    3. Oikonomou V.K., “Extended Supersymmetric Structures in Gapped and Superconducting Graphene”, Int. J. Geom. Methods Mod. Phys., 12:10 (2015), 1550114  crossref  isi
    4. 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  crossref
    5. V. K. Oikonomou, “Localized Fermions on Superconducting Domain Walls and Extended Supersymmetry with Non-trivial Topological Charges”, Found Phys, 45:1 (2015), 44  crossref
    6. Oikonomou V.K., “Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics”, Class. Quantum Gravity, 31:2 (2014), 025018  crossref  isi
    7. V K Oikonomou, “A relation betweenZ3-graded symmetry and shape invariant supersymmetric systems”, J. Phys. A: Math. Theor., 47:43 (2014), 435304  crossref
    8. 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  crossref
    9. V.K. Oikonomou, “Superconducting cosmic strings and one dimensional extended supersymmetric algebras”, Annals of Physics, 350 (2014), 179  crossref
    10. Victor P. Berezovoj, Glib I. Ivashkevych, Mikhail I. Konchatnij, “Multi-Well Potentials in Quantum Mechanics and Stochastic Processes”, SIGMA, 6 (2010), 098, 18 pp.  mathnet  crossref  mathscinet
    11. 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  crossref
    12. B. F. Samsonov, “Coherent states of potentials of soliton origin”, J. Exp. Theor. Phys., 87:6 (1998), 1046  crossref
    13. V P Berezovoj, A I Pashnev, “Three-dimensional N=4 extended supersymmetric quantum mechanics”, Class. Quantum Grav., 8:12 (1991), 2141  crossref
    14. V. P. Berezovoi, A. I. Pashnev, “One-dimensional extended supersymmetric quantum mechanics”, Theoret. and Math. Phys., 78:2 (1989), 206–211  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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