138 research outputs found
Supersymmetry, Variational Method and Hulth\'en Potential
The formalism of Supersymmetric Quantum Mechanics provides us the
eigenfunctions to be used in the variational mathod to obtain the eigenvalues
for the Hulth\'en Potential.Comment: 5 pages, LateX file, to appear in Modern Physics Letters
Morse potential energy spectra through the variational method and supersymmetry
The Variational Method is applied within the context of Supersymmetric
Quantum Mechanics to provide information about the energy and eigenfunction of
the lowest levels of a Hamiltonian. The approach is illustrated by the case of
the Morse potential applied to several diatomic molecules and the results are
compared with stablished results.Comment: 9 pages, LATEX, 1 eps figur
Supersymmetric variational energies of 3d confined potentials
Within the approach of Supersymmetric Quantum Mechanics associated with the
variational method a recipe to construct the superpotential of three
dimensional confined potentials in general is proposed. To illustrate the
construction, the energies of the Harmonic Oscillator and the Hulth\'en
potential, both confined in three dimensions are evaluated. Comparison with the
corresponding results of other approximative and exact numerical results is
presented.Comment: 9 pages, Late
Induced Variational Method from Supersymmetric Quantum Mechanics and the Screened Coulomb Potential
The formalism of Supersymmetric Quantum Mechanics supplies a trial wave
function to be used in the Variational Method. The screened Coulomb potential
is analysed within this approach. Numerical and exact results for energy
eigenvalues are compared.Comment: 7 pages, LATE
Supersymmetric variational energies for the confined Coulomb system
The methodology based on the association of the Variational Method with
Supersymmetric Quantum Mechanics is used to evaluate the energy states of the
confined hydrogen atom.Comment: 9 pages, Latex, version to appear in Phys. Lett. A299 (2002) 137-14
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