A. A. Andrianov, N. V. Borisov, M. V. Ioffe, “Scattering theory for supersymmetric Hamiltonian and supersymmetry of nuclear interactions”, TMF, 72:1 (1987), 97–111; Theoret. and Math. Phys., 72:1 (1987), 748

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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 72, Number 1, Pages 97–111 (Mi tmf5313)

This article is cited in 8 scientific papers (total in 8 papers)

Scattering theory for supersymmetric Hamiltonian and supersymmetry of nuclear interactions

A. A. Andrianov, N. V. Borisov, M. V. Ioffe

Full-text PDF (1436 kB) Citations (8)

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Abstract: Scattering theory for a supersymmetrical Hamiltonian is developed and the general structure of corresponding

S

$S$ -matrix is described. Connections between wave functions of continuum spectrum are obtained for equivalent quantum systems which are the components of the supersymmetrical multiplet. The possibility of supersymmetrical treatment of the interaction of two particles with half-integer spins is discussed. On this way, the supposed super symmetry of

N N

$NN$ and

N \bar{N}

$N\bar N$ -scattering is investigated in the one-pion-exchange approximation.

Received: 03.01.1986

English version:
Theoretical and Mathematical Physics, 1987, Volume 72, Issue 1, Pages 748–758
DOI: https://doi.org/10.1007/BF01035701

Bibliographic databases:

Language: Russian

Citation: A. A. Andrianov, N. V. Borisov, M. V. Ioffe, “Scattering theory for supersymmetric Hamiltonian and supersymmetry of nuclear interactions”, TMF, 72:1 (1987), 97–111; Theoret. and Math. Phys., 72:1 (1987), 748–758

Citation in format AMSBIB

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\by A.~A.~Andrianov, N.~V.~Borisov, M.~V.~Ioffe

\paper Scattering theory for supersymmetric Hamiltonian and supersymmetry of nuclear interactions

\jour TMF

\yr 1987

\vol 72

\issue 1

\pages 97--111

\mathnet{http://mi.mathnet.ru/tmf5313}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=910485}

\transl

\jour Theoret. and Math. Phys.

\yr 1987

\vol 72

\issue 1

\pages 748--758

\crossref{https://doi.org/10.1007/BF01035701}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987M118600010}

Linking options:

https://www.mathnet.ru/eng/tmf5313

https://www.mathnet.ru/eng/tmf/v72/i1/p97

This publication is cited in the following 8 articles:

M Majumder, U Laha, “Phase-equivalent potentials using SUSY transformations”, Pramana - J Phys, 96:3 (2022)
Daniel Baye, Jean-Marc Sparenberg, Andrey M Pupasov-Maksimov, Boris F Samsonov, “Single- and coupled-channel radial inverse scattering with supersymmetric transformations”, J. Phys. A: Math. Theor., 47:24 (2014), 243001
Andrianov A.A. Ioffe M.V., “Nonlinear Supersymmetric Quantum Mechanics: Concepts and Realizations”, J. Phys. A-Math. Theor., 45:50 (2012), 503001
M.V. Ioffe, J. Mateos Guilarte, P.A. Valinevich, “Two-dimensional supersymmetry: From SUSY quantum mechanics to integrable classical models”, Annals of Physics, 321:11 (2006), 2552
M V Ioffe, P A Valinevich, “New two-dimensional quantum models partially solvable by the supersymmetrical approach”, J. Phys. A: Math. Gen., 38:11 (2005), 2497
A A Andrianov, F Cannata, “Nonlinear supersymmetry for spectral design in quantum mechanics”, J. Phys. A: Math. Gen., 37:43 (2004), 10297
N. V. Borisov, K. N. Il'inskii, V. M. Uzdin, “Generalized algebras of supersymmetric quantum mechanics”, Theoret. and Math. Phys., 94:3 (1993), 294–299
F. Gesztesy, Lecture Notes in Physics, 345, Schrödinger Operators, 1989, 93

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

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Full-text PDF :	120
References:	65
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