Variational method for excited states from supersymmetric techniques
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Data
2003-11-01
Autores
Borges, G. R P [UNESP]
Dutra, Alvaro de Souza [UNESP]
Drigo Filho, Elso [UNESP]
Ruggiero, José Roberto [UNESP]
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Resumo
We 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.
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Algebra, Eigenvalues and eigenfunctions, Excitons, Ground state, Hamiltonians, Perturbation techniques, Riccati equations, Supersymmetric formalism, Variational method, Quantum theory
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Canadian Journal of Physics, v. 81, n. 11, p. 1283-1291, 2003.