Finkel Morgenstern, FedericoGonzález López, ArtemioLópez Maroto, AntonioRodríguez González, Miguel Ángel2023-06-202023-06-202000-10-170556-282110.1103/PhysRevD.62.103515https://hdl.handle.net/20.500.14352/59329© 2000 The American Physical Society. A.L.M. wishes to thank J. García-Bellido for useful discussions. This work was partially supported by grants DGES PB98-0821 and DGICYT AEN97-1693.We show that the most general inflaton potential in Minkowski spacetime for which the differential equation for the Fourier modes of the matter fields reduces to Lame's equation is of the form V(phi)=lambda phi^4/4+Kphi^2/2+mu/(2 phi^2)+V_0. As an application, we study the preheating phase after inflation for the above potential with K=0 and arbitrary lambda,mu >0. For certain values of the coupling constant between the inflaton and the matter fields, we calculate the instability intervals and the characteristic exponents in closed form.engjournal articlehttp://dx.doi.org/10.1103/PhysRevD.62.103515http://journals.aps.org/open access53Dynamical supersymmetry breakingFísica (Física)22 Física