Improved Lieb-Thirring type inequalities for non-selfadjoint Schrödinger operators
DOI10.1007/978-3-031-31139-0_9MaRDI QIDQ6630026
Publication date: 30 October 2024
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Schrödinger operator, Schrödinger equation (35J10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Meromorphic functions of one complex variable (general theory) (30D30) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators on spaces with an indefinite metric (47B50) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Elliptic operators and their generalizations (47F10) Nonselfadjoint operators (47B28)
Cites Work
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- Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
- Eigenvalue estimates for Schrödinger operators with complex potentials
- Open problems: Lieb-Thirring type inequalities for Schrödinger operators with a complex-valued potential
- On Lieb-Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators
- Counterexample to the Laptev-Safronov conjecture
- Eigenvalue bounds for Schrödinger operators with complex potentials. III
- Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates
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