Renormalized oscillation theory for Dirac operators
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Publication:4387037
DOI10.1090/S0002-9939-98-04310-XzbMath0894.34080MaRDI QIDQ4387037
Publication date: 6 May 1998
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Related Items (13)
Renormalized oscillation theory for singular linear Hamiltonian systems ⋮ Renormalized oscillation theory for Hamiltonian systems ⋮ Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators ⋮ On the calculation of the discrete spectra of one‐dimensional Dirac operators ⋮ Renormalized oscillation theory for linear Hamiltonian systems on \([0, 1\) via the Maslov index] ⋮ Oscillation properties for the equation of the relativistic quantum theory ⋮ Relative oscillation theory for Dirac operators ⋮ The Maslov and Morse indices for Sturm-Liouville systems on the half-line ⋮ First-order systems in C2 on R with periodic matrix potentials and vanishing instability intervals ⋮ Relative oscillation theory, weighted zeros of the Wronskian, and the spectral shift function ⋮ Relative oscillation -- non-oscillation criteria for perturbed periodic Dirac systems ⋮ Renormalized oscillation theory for regular linear non-Hamiltonian systems ⋮ Dubrovin equation for periodic Dirac operator on the half-line
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