Speaker
Dr
Arnau Rios
(Surrey)
Description
The nodes theorem provides a relation between the quantum number of a given bound state and the number of nodes of its wave function. We describe here a family of non-local potentials, with analytical known solutions, whose spectra can be modified at will. For these potentials, there is no relation between the quantum number of a state and its number of nodes. The existence of these potentials suggests that the nodes theorem is not valid when non-local interactions are considered.
Author
Dr
Arnau Rios
(Surrey)