Recovering the M-channel Sturm-Liouville operator from M+1 spectra

Details Recovering the M-channel Sturm-Liouville operator from M+1 spectra Recovering the M-channel Sturm-Liouville operator from M+1 spectra

2004-03-10

arxiv.org/abs/math-ph/0403014v2

Physics

Mathematical Physics

8 pages, no figures

Scientific paper

For a system of M coupled Schroedinger 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 Schroedinger equation.

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