V. P. Berezovoi, A. I. Pashnev, “Supersymmetric quantum mechanics and rearrangement of the spectra of Hamiltonians”, TMF, 70:1 (1987), 146–153; Theoret. and Math. Phys., 70:1 (1987), 102

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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 70, Number 1, Pages 146–153 (Mi tmf4511)

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

Supersymmetric quantum mechanics and rearrangement of the spectra of Hamiltonians

V. P. Berezovoi, A. I. Pashnev

Full-text PDF (877 kB) Citations (14)

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Abstract: A mechanism of rearrangement of Hamiltonians with the change of their discrete spectra is suggested which uses super symmetrical quantum mechanics. Relation of the mechanism and arbitrary constants arising in it to inverse scattering problem is discussed. Transformation group of potentials for which the solutions of Schrödinger equation are connected with the Darboux transformation is studied.

Received: 18.09.1985

English version:
Theoretical and Mathematical Physics, 1987, Volume 70, Issue 1, Pages 102–107
DOI: https://doi.org/10.1007/BF01017016

Bibliographic databases:

Language: Russian

Citation: V. P. Berezovoi, A. I. Pashnev, “Supersymmetric quantum mechanics and rearrangement of the spectra of Hamiltonians”, TMF, 70:1 (1987), 146–153; Theoret. and Math. Phys., 70:1 (1987), 102–107

Citation in format AMSBIB

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\pages 146--153

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\transl

\jour Theoret. and Math. Phys.

\yr 1987

\vol 70

\issue 1

\pages 102--107

\crossref{https://doi.org/10.1007/BF01017016}

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Linking options:

https://www.mathnet.ru/eng/tmf4511

https://www.mathnet.ru/eng/tmf/v70/i1/p146

This publication is cited in the following 14 articles:

Yurova A.A., Yurov V A., Yurov V.A., “The Cauchy Problem For the Generalized Hyperbolic Novikov-Veselov Equation Via the Moutard Symmetries”, Symmetry-Basel, 12:12 (2020), 2113
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
Oikonomou V.K., “Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics”, Class. Quantum Gravity, 31:2 (2014), 025018
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
Andrianov A.A. Ioffe M.V., “Nonlinear Supersymmetric Quantum Mechanics: Concepts and Realizations”, J. Phys. A-Math. Theor., 45:50 (2012), 503001
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
Yurov, AV, “Nonsingular brane solutions via the Darboux transformation”, Physical Review D, 72:2 (2005), 026003
A A Andrianov, F Cannata, “Nonlinear supersymmetry for spectral design in quantum mechanics”, J. Phys. A: Math. Gen., 37:43 (2004), 10297
V. G. Bagrov, B. F. Samsonov, “Darboux transformation, factorization, supersymmetry in one-dimensional quantum mechanics”, Theoret. and Math. Phys., 104:2 (1995), 1051–1060
B. F. Samsonov, I. N. Ovcharov, “Darboux transformation and nonclassical orthogonal polynomials”, Russ Phys J, 38:4 (1995), 378
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
F. Gesztesy, Lecture Notes in Physics, 345, Schrödinger Operators, 1989, 93
V. P. Berezovoi, A. I. Pashnev, “ $N=2$ supersymmetric quantum mechanics and the inverse scattering problem”, Theoret. and Math. Phys., 74:3 (1988), 264–268

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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