Ambarzumyan Type Theorem For A Matrix Quadratic Pencil Of Schrodinger Equation (original) (raw)

Ambarzumyan Type Theorem For A Matrix Quadratic Pencil Of Schrodinger Equation

2012

Abstract

Ambarzumyan's theorem for quadratic pencil of Schrodinger problem is extended to second order differential systems of dimension . It is shown that if the spectrum is the same as the spectrum belonging to the zero potential, then the matrix valued functions both and are zero by imposing a condition on . In scaler case, this problem was solved in [1].

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