Symmetry and supersymmetry of a neutron in the magnetic field of a linear current

D. Martinez; R. D. Mota; V. D. Granados

doi:10.1142/S0217751X06034446

Symmetry and supersymmetry of a neutron in the magnetic field of a linear current

D. Martinez, R. D. Mota, V. D. Granados

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study a neutron in an external magnetic field in coordinate space and show that the 2 x 2 radial matrix operators that factorize the Hamiltonian are contained within the constants of motion of the problem. Also we show that the 2 x 2 partners Hamiltonians satisfy the shape invariance condition.

Original language	English
Pages (from-to)	6621-6628
Number of pages	8
Journal	International Journal of Modern Physics A
Volume	21
Issue number	32
DOIs	https://doi.org/10.1142/S0217751X06034446
State	Published - 30 Dec 2006

Keywords

Algebraic methods
Supersymmetry

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10.1142/S0217751X06034446

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title = "Symmetry and supersymmetry of a neutron in the magnetic field of a linear current",

abstract = "We study a neutron in an external magnetic field in coordinate space and show that the 2 x 2 radial matrix operators that factorize the Hamiltonian are contained within the constants of motion of the problem. Also we show that the 2 x 2 partners Hamiltonians satisfy the shape invariance condition.",

keywords = "Algebraic methods, Supersymmetry",

author = "D. Martinez and Mota, {R. D.} and Granados, {V. D.}",

note = "Funding Information: This work was partially supported by CONACyT-M{\'e}xico, COFAA-IPN, EDD-IPN, PIFI, CGPI-IPN project numbers 20050193 and 20050182 and SIP-IPN project number 20061047.",

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AU - Martinez, D.

AU - Mota, R. D.

AU - Granados, V. D.

N1 - Funding Information: This work was partially supported by CONACyT-México, COFAA-IPN, EDD-IPN, PIFI, CGPI-IPN project numbers 20050193 and 20050182 and SIP-IPN project number 20061047.

PY - 2006/12/30

Y1 - 2006/12/30

N2 - We study a neutron in an external magnetic field in coordinate space and show that the 2 x 2 radial matrix operators that factorize the Hamiltonian are contained within the constants of motion of the problem. Also we show that the 2 x 2 partners Hamiltonians satisfy the shape invariance condition.

AB - We study a neutron in an external magnetic field in coordinate space and show that the 2 x 2 radial matrix operators that factorize the Hamiltonian are contained within the constants of motion of the problem. Also we show that the 2 x 2 partners Hamiltonians satisfy the shape invariance condition.

KW - Algebraic methods

KW - Supersymmetry

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U2 - 10.1142/S0217751X06034446

DO - 10.1142/S0217751X06034446

M3 - Artículo

SN - 0217-751X

VL - 21

SP - 6621

EP - 6628

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

IS - 32

ER -

Symmetry and supersymmetry of a neutron in the magnetic field of a linear current

Abstract

Keywords

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