The mass spectrum of quarkonium using matrix mechanics

The matrix method is used to determine the mass spectrum (energy levels) of quarkonium, a composite particle comprising a quark and an anti-quark. This two-body system is similar to the hydrogen atom but at a reduced length scale. The results obtained by solving the Schrödinger equation for this system are in agreement with experimental and theoretical results obtained via other techniques, showing that problems with complicated potentials can be tackled by undergraduates.