REMARK ON ESTIMATE OF A POTENTIAL IN TERMS OF EIGENVALUES OF THE STURM–LIOUVILLE OPERATOR

DOI10.1142/S0217984908016959zbMath1167.34396MaRDI QIDQ3607505

Evgeny L. Korotyaev

Publication date: 2 March 2009

Published in: Modern Physics Letters B (Search for Journal in Brave)

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Determining the potential of a Sturm-Liouville operator from its Dirichlet and Neumann spectra.
• Gaps and bands of one dimensional periodic Schrödinger operators
• Estimates of periodic potentials in terms of gap lengths
• Inverse problem and the trace formula for the Hill operator. II
• The estimates of periodic potentials in terms of effective masses
• The inverse problem for the Hill operator. A direct approach
• The inverse problem for periodic potentials