Weyl-Titchmarsh theory as applied to the singular non-sectorial Schrödinger operator. Conditions for discreteness of the spectrum and compactness of the resolvent

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05)

Cites Work

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Differential operators admitting various rates of spectral projection growth
Non-accretive Schrödinger operators and exponential decay of their eigenfunctions
Pseudo-modes for Schrödinger operators with complex potentials
One-dimensional Schrödinger operators with complex potentials
Spectral theory of closed distributive operators
Completeness theorem for the system of eigenfunctions of the complex Schrödinger operator \(\mathscr{L}_{c , \alpha} = - d^2 / d x^2 + c x^\alpha \)
Resolvent estimates for one-dimensional Schrödinger operators with complex potentials
Perturbations of self-adjoint and normal operators with discrete spectrum
On the Spectrum of Non-Selfadjoint Schrödinger Operators with Compact Resolvent
On the spectrum of second-order differential operators with complex coefficients
Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems
Approximations of spectra of Schrödinger operators with complex potentials on ℝ^d
Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials
Note on the Uniqueness of the Green'S Functions Associated With Certain Differential Equations
Spectral properties of the nonsectorial Sturm-Liouville operator on the semiaxis

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