PARA EL POTENCIAL DE CONFINAMIENTO DE LOS QUARKS SE USA FRECUENTEMENTE UNO RADIAL QUE ES LINEAL. COMO EL ESPECTRO DEL HAMILTONIANO RESULTANTE NO ESTÁ DISPONIBLE EN FORMA ANALÍTICA, LO DETERMINAMOS EN ESTE ARTÍCULO POR UN PROCEDIMIENTO VARIACIONAL BASADO EN UN CONJUNTO APROPIADO DE FUNCIONES DE OSCILADOR ARMÓNICO.AbstractIN RELATION WITH A QUARK INTERACTION CONFINEMENT POTENTIAL A LINEAR RADIAL ONE IS FREQUENTLY USED. AS THE SPECTRUM OF THE RESULTING HAMILTONIAN IS NOT AVAILABLE IN AN ANALYTIC FASHION, WE DETERMINE IT IN THIS PAPER USING A VARIATIONAL PROCEDURE BASED ON A SET OF APPROPRIATE HARMONIC OSCILLATOR STATES.IN RELATION WITH A QUARK INTERACTION CONFINEMENT POTENTIAL A LINEAR RADIAL ONE IS FREQUENTLY USED. AS THE SPECTRUM OF THE RESULTING HAMILTONIAN IS NOT AVAILABLE IN AN ANALYTIC FASHION, WE DETERMINE IT IN THIS PAPER USING A VARIATIONAL PROCEDURE BASED ON A SET OF APPROPRIATE HARMONIC OSCILLATOR STATES.