Recovering the M - channel Sturm - Liouville operator from M + 1 spectra
نویسنده
چکیده
For a system of M coupled Schrödinger equations, the relationship is found between the vector-valued norming constants and M + 1 spectra corresponding to the same potential matrix but different boundary conditions. Under a special choice of particular boundary conditions, this equation for norming vectors has a unique solution. The double set of norming vectors and associated spectrum of one of the M + 1 boundary value problems uniquely specifies the matrix of potentials in the multichannel Schrödinger equation.
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