Ambarzumian’s Theorem for Trees

نویسندگان

  • ROBERT CARLSON
  • VYACHESLAV PIVOVARCHIK
چکیده

The classical Ambarzumian’s Theorem for Schrödinger operators −D2 + q on an interval, with Neumann conditions at the endpoints, says that if the spectrum of (−D2 + q) is the same as the spectrum of (−D2) then q = 0. This theorem is generalized to Schrödinger operators on metric trees with Neumann conditions at the boundary vertices.

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تاریخ انتشار 2007