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SUSY approach to Pauli Hamiltonians with an axial symmetry. / Ioffe, M.V.; Kuru, S; Negro, J.; Nieto, L.M.

In: Journal of Physics A: Mathematical and General, Vol. 39, No. 22, 2006, p. 6987-7001.

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Harvard

Ioffe, MV, Kuru, S, Negro, J & Nieto, LM 2006, 'SUSY approach to Pauli Hamiltonians with an axial symmetry', Journal of Physics A: Mathematical and General, vol. 39, no. 22, pp. 6987-7001. https://doi.org/10.1088/0305-4470/39/22/013

APA

Ioffe, M. V., Kuru, S., Negro, J., & Nieto, L. M. (2006). SUSY approach to Pauli Hamiltonians with an axial symmetry. Journal of Physics A: Mathematical and General, 39(22), 6987-7001. https://doi.org/10.1088/0305-4470/39/22/013

Vancouver

Ioffe MV, Kuru S, Negro J, Nieto LM. SUSY approach to Pauli Hamiltonians with an axial symmetry. Journal of Physics A: Mathematical and General. 2006;39(22):6987-7001. https://doi.org/10.1088/0305-4470/39/22/013

Author

Ioffe, M.V. ; Kuru, S ; Negro, J. ; Nieto, L.M. / SUSY approach to Pauli Hamiltonians with an axial symmetry. In: Journal of Physics A: Mathematical and General. 2006 ; Vol. 39, No. 22. pp. 6987-7001.

BibTeX

@article{4628a751a20e480a8ea7155380402e60,
title = "SUSY approach to Pauli Hamiltonians with an axial symmetry",
abstract = "A two-dimensional Pauli Hamiltonian describing the interaction of a neutral spin-1/2 particle with a magnetic field having axial and second-order symmetries is considered. After separation of variables, the one-dimensional matrix Hamiltonian is analysed from the point of view of supersymmetric quantum mechanics. Attention is paid to the discrete symmetries of the Hamiltonian and also to the Hamiltonian hierarchies generated by intertwining operators. The spectrum is studied by means of the associated matrix shape invariance. The relation between the intertwining operators and the second-order symmetries is established, and the full set of ladder operators that complete the dynamical algebra is constructed. {\textcopyright} 2006 IOP Publishing Ltd.",
author = "M.V. Ioffe and S Kuru and J. Negro and L.M. Nieto",
year = "2006",
doi = "10.1088/0305-4470/39/22/013",
language = "English",
volume = "39",
pages = "6987--7001",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "22",

}

RIS

TY - JOUR

T1 - SUSY approach to Pauli Hamiltonians with an axial symmetry

AU - Ioffe, M.V.

AU - Kuru, S

AU - Negro, J.

AU - Nieto, L.M.

PY - 2006

Y1 - 2006

N2 - A two-dimensional Pauli Hamiltonian describing the interaction of a neutral spin-1/2 particle with a magnetic field having axial and second-order symmetries is considered. After separation of variables, the one-dimensional matrix Hamiltonian is analysed from the point of view of supersymmetric quantum mechanics. Attention is paid to the discrete symmetries of the Hamiltonian and also to the Hamiltonian hierarchies generated by intertwining operators. The spectrum is studied by means of the associated matrix shape invariance. The relation between the intertwining operators and the second-order symmetries is established, and the full set of ladder operators that complete the dynamical algebra is constructed. © 2006 IOP Publishing Ltd.

AB - A two-dimensional Pauli Hamiltonian describing the interaction of a neutral spin-1/2 particle with a magnetic field having axial and second-order symmetries is considered. After separation of variables, the one-dimensional matrix Hamiltonian is analysed from the point of view of supersymmetric quantum mechanics. Attention is paid to the discrete symmetries of the Hamiltonian and also to the Hamiltonian hierarchies generated by intertwining operators. The spectrum is studied by means of the associated matrix shape invariance. The relation between the intertwining operators and the second-order symmetries is established, and the full set of ladder operators that complete the dynamical algebra is constructed. © 2006 IOP Publishing Ltd.

UR - https://elibrary.ru/kfzzmz

U2 - 10.1088/0305-4470/39/22/013

DO - 10.1088/0305-4470/39/22/013

M3 - Article

VL - 39

SP - 6987

EP - 7001

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 22

ER -

ID: 5012965