Solving fractional Schrödinger-type spectral problems: Cauchy oscillator and Cauchy well
The authors present the results of a computer-assisted route to obtain the eigenvalues and the eigenfunctions of the \(1D\) Cauchy-Schrödinger operator \(H=(-\Delta)^{1/2} + V\), \(V\) being a local potential. The Cauchy oscillator (which also has an analytical solution) and Cauchy finite well spectral problems are mainly envisaged. The algorithms employed are a non-local version of Strang's splitting method, which is based on Trotter product formula.
scientific article; zbMATH DE number 6358476
scientific article