An analysis and application of the supersymmetry ͑SUSY͒ in nonrelativistic quantum mechanics involving two-component wave functions for a stability equation corresponding to two coupled real scalar fields is considered. A general positive potential for two coupled real scalar fields in 1ϩ1 dimensions with a SUSY form is investigated in which the associated two-component normal modes are non-negative, which leads to classically stable soliton solutions, and an example is explicitly considered.
Supersymmetry (SUSY) in non-relativistic quantum mechanics (QM) is applied to a 2-dimensional physical system: a neutron in an external magnetic field. The superpotential and the two-component wave functions of the ground state are found out.
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