On scaling of Schrödinger equation and some results for heavy quarks mesons

Abstract

We consider the scaling of the Schrödinger equation in order to explicitly compute the energy density levels for a specific class of potentials. The resulting eigenvalues spectrum is compared to the heavy quarks mesons spectroscopy, showing a fair agreement with experimental data for the J/ps and, for the heavier case Y, an excellent agreement with the experimental data.

Keywords

• schrödinger equation
• semiclassical methods
• heavy quarks