Borges, G. R P [UNESP]Dutra, Alvaro de Souza [UNESP]Drigo Filho, Elso [UNESP]Ruggiero, José Roberto [UNESP]2014-05-272014-05-272003-11-01Canadian Journal of Physics, v. 81, n. 11, p. 1283-1291, 2003.0008-4204http://hdl.handle.net/11449/67458We suggest a method for constructing trial eigenfunctions for excited states to be used in the variational method. This method is a generalization of the one that uses a superpotential to obtain the trial functions for the ground state. The construction of an effective hierarchy of Hamiltonians is used to determine excited variational energies. The first four eigenvalues for a quartic double-well potential are calculated for several values of the potential parameter. The results are in very good agreement with the eigenvalues obtained by numerical integration.1283-1291engAlgebraEigenvalues and eigenfunctionsExcitonsGround stateHamiltoniansPerturbation techniquesRiccati equationsSupersymmetric formalismVariational methodQuantum theoryArtigo10.1139/p03-096WOS:000187035100006Acesso restrito2-s2.0-11422795936314084638411003