For every finite matrix size and 1/2<γ<3/2, a measurable positive semidefinite Hermitian matrix potential saturates the sharp one-dimensional Lieb–Thirring inequality exactly when one constant unitary basis makes it a direct sum of independent one-bound-state scalar sech² profiles and zero channels.
For every finite matrix size and 1/2<γ<3/2, a measurable positive semidefinite Hermitian matrix potential saturates the sharp one-dimensional Lieb–Thirring inequality exactly when one constant unitary basis makes it a direct sum of independent one-bound-state scalar sech² profiles and zero channels.
For every finite matrix size and 1/2<γ<3/2, a measurable positive semidefinite Hermitian matrix potential saturates the sharp one-dimensional Lieb–Thirring inequality exactly when one constant unitary basis makes it a direct sum of independent one-bound-state scalar sech² profiles and zero channels.
If correct, characterizes every extremal matrix potential in the specified spectral-moment range.
Which finite-matrix potentials attain equality in the sharp one-dimensional Lieb–Thirring inequality?
Publication dates and editorial changes.
OpenAI reports all equality cases for a sharp matrix Lieb–Thirring bound
Allow optional Google Analytics to help improve AIProofWatch? Privacy details.
