Artículos de revistas
A new simple class of superpotentials in SUSY quantum mechanics
Fecha
2012Registro en:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, BRISTOL, v. 45, n. 11, supl. 1, Part 1, pp. 29290-29300, 44986, 2012
1751-8113
10.1088/1751-8113/45/11/115307
Autor
Carmo, Fabricio Marques do
Negrini Neto, Osvaldo
Silva, Adilson Jose da
Institución
Resumen
In this work, we introduce the class of quantum mechanics superpotentials W(x) = g epsilon(x)x(2n) and study in detail the cases n = 0 and 1. The n = 0 superpotential is shown to lead to the known problem of two supersymmetrically related Dirac delta potentials (well and barrier). The n = 1 case results in the potentials V+/-(x) = g(2)x(4) +/- 2g|x|. For V-, we present the exact ground-state solution and study the excited states by a variational technique. Starting from the ground state of V- and using logarithmic perturbation theory, we study the ground states of V+ and also of V(x) = g(2)x(4) and compare the result obtained in this new way with other results for this last potential in the literature.