Bound states of Newton’s equivalent finite square well

Quantum Square Well Bound States Described by Equations with Non-Locality

Relative Probability Densities for Multi-Well Bound States

It is well established that multi-well bound state systems experience behavior similar to avoided crossings, as degeneracies in the wave function due to identical bound states are avoided by shifting bound state energies corresponding to various wells slightly, creating a familiar set of alternating bands and band gaps, with the bands consisting of a set of bound states that are associated with...

Ultrarelativistic bound states in the shallow spherical well

We determine approximate eigenvalues and eigenfunctions shapes for bound states in the 3D shallow spherical ultrarelativistic well. Existence thresholds for the ground state and first excited states are identified, both in the purely radial and orbitally nontrivial cases. This contributes to an understanding of how energy may be stored or accumulated in the form of bound states of Schrödinger t...

Identification of shallow two-body bound states in finite volume

We discuss signatures of bound-state formation in finite volume via the Lüscher finite size method. Assuming that the phase-shift formula in this method inherits all aspects of the quantum scattering theory, we may expect that the bound-state formation induces the sign of the scattering length to be changed. If it were true, this fact provides us a distinctive identification of a shallow bound ...

00 1 Bound states of anti - nucleons in finite nuclei

We study the bound states of anti-nucleons emerging from the lower continuum in finite nuclei within the relativistic Hartree approach including the contributions of the Dirac sea to the source terms of the meson fields. The Dirac equation is reduced to two Schrödinger-equivalent equations for the nucleon and the anti-nucleon respectively. These two equations are solved simultaneously in an ite...