2009/02/11 by F. Cannata, M. V. Ioffe, D. N. Nishnianidze
Mathematics · Physics and Astronomy · #Class (philosophy) #Constant (computer programming) #Isospectral #Nonlinear Waves and Solitons #Operator (biology) #Operator theory #Quantum #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #Symmetry (geometry) #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1063/1.3133945
published as J.Math.Phys.50:052105,2009 · 14 pages
arxiv created 2009/02/11 · openalex publication_date 2009/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The general solution of supersymmetrical intertwining relations for three-dimensional Schrödinger operators is built using the class of second order supercharges with nondegenerate constant metric. This solution includes several models with arbitrary parameters. We are interested only in quantum systems which are not amenable to separation of variables, i.e., cannot be reduced to lower dimensional problems. All constructed Hamiltonians are partially integrable—each of them commutes with a symmetry operator of fourth order in momenta. The same models can be considered also for complex values of parameters leading to a class of non-Hermitian isospectral Hamiltonians.