Bargmann-Type Inequality for Half-Linear Differential Operators

نویسندگان

  • Gabriella Bognár
  • Ondřej Došlý
  • Martin J. Bohner
چکیده

The classical Bargmann inequality 1 originates from the nonrelativistic quantummechanics and gives an upper bound for the number of bound states produced by a radially symmetric potential in the two-body system. In the subsequent papers, various proofs and reformulations of this inequality have been presented, we refer to 2, Chapter XIII , and to 3–5 for some details. In the language of singular differential operators, Bargmann’s inequality concerns the one-dimensional Schrödinger operator

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تاریخ انتشار 2009