2002/05/31 by G. S. Dias, G. S. DIAS, E. L. Graça +3
Mathematics · Physics and Astronomy · #Algebraic number #Eigenfunction #Eigenvalues and eigenvectors #Hessian matrix #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Scalar (mathematics) #Spectral Theory in Mathematical Physics #Spinor #Superpotential #Supersymmetry #hep-th
paper · pdf · doi:10.1142/s0217751x07034994
published as Int.J.Mod.Phys.A22:731-748,2007 · Revised version. Revtex, 4 figures, 22 pages, to appear in International Journal of Modern Physics, Vol. 21 (2006)
arxiv created 2007/01/03 · openalex publication_date 2007/02/10 · arxiv updated 2011/07/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The connection between the supersymmetric quantum mechanics involving two-component eigenfunctions and the stability equation associated with two classical configurations is investigated and a matrix superpotential is deduced. The question of stability is ensured for the Bogomol'nyi–Prasad–Sommerfield (BPS) states on two domain walls in a scalar potential model containing up to fourth-order powers in the fields, which is explicit demonstrated using the intertwining operators in terms of two-by-two matrix superpotential in the algebraic framework of supersymmetry in quantum mechanics. Also, a non-BPS state is found to be nonstable via the fluctuation Hessian matrix.