2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93687Supersymmetrical quantum--mechanical system is consider in the case of d=2. The problem of addition of the lower level to spectrums of matrix and scalar components of d=2 SUSY Hamiltonian is investigated. It is shown that in the case, the level E=0 may be degenerate. The multi--dimensional scalar Hamiltonians with energy spectra coinciding up to finite number of discrete levels are constructed.amstexQuantum Physicstext