Inequalities pp 329-341 | Cite as

A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator

  • Dirk Hundertmark
  • Elliott H. Lieb
  • Lawrence E. Thomas


We give a proof of the Lieb-Thirring inequality in the critical case d=1, γ = 1/2, which yields the best possible constant.


Negative Eigenvalue Strict Monotonicity Sharp Constant Schr6dinger Operator Schrodinger Operator 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Dirk Hundertmark
    • 1
  • Elliott H. Lieb
    • 1
  • Lawrence E. Thomas
    • 1
  1. 1.Department of Physics and MathematicsPrinceton UniversityPrincetonUSA

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