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SYMMETRY AND SUPERSYMMETRY OF A NEUTRON IN THE MAGNETIC FIELD OF A LINEAR CURRENT

Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ed. 9, Unidad Profesional Adolfo López Mateos, 07738 México D. F., México

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R. D. MOTA

Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ed. 9, Unidad Profesional Adolfo López Mateos, 07738 México D. F., México

On sabbatical stay from Unidad Profesional Interdisciplinaria de Ingeniería y Tecnologías Avanzadas, IPN. Av. Instituto Politécnico Nacional 2580, Col. La Laguna Ticomán, Delegación Gustavo A. Madero, 07340 México D. F., México.

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V. D. GRANADOS

Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ed. 9, Unidad Profesional Adolfo López Mateos, 07738 México D. F., México

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https://doi.org/10.1142/S0217751X06034446Cited by:1 (Source: Crossref)

Abstract

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

Keywords:

PACS: 11.30.Pb, 03.65.Fd

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