Maximal determinants of Schrödinger operators on bounded intervals

In Section 3, which is specific to the considered model with growing sparse potentials, we obtain upper bounds for inside (Lemma 3.3) and outside probabilities and moments

The considered Schr¨odinger operator has a quadratic potential which is degenerate in the sense that it reaches its minimum all along a line which makes the angle θ with the boundary

For any bounded scalar potential q, we denote by λ i (q) the i-th eigenvalue of the Schr¨ odinger type operator −∆ + q acting on functions with Dirichlet or Neumann boundary

The width of resonances for slowly varying perturbations of one-dimensional periodic Schrödinger operators.. Frédéric Klopp,

SEMENOV, One Criterion of Essential Self-Adjointness of the Schrödinger Operator with Negative Potential, Kiev, preprint, 1987. [4]

Inverse spectral results for Schrödinger operators on the unit interval with partial information given on the potentials... Inverse spectral results for Schr¨ odinger operators on

The second one is (since the inverse Fourier transform of g vanishes on the common eigenvalues) to remark a result given in [L] due to Levinson and essentially stating that the

We recall that a differential operator P satisfies the strong unique continuation property (SUCP) if the vanishing order of any non-trivial solutions to P u = 0 is finite