Barrier penetration for supersymmetric shape-invariant potentials

Authors
Aleixo, ANF Balantekin, AB Ribeiro, MAC
Citation
Anf. Aleixo et al., Barrier penetration for supersymmetric shape-invariant potentials, J PHYS A, 33(8), 2000, pp. 1503-1518
Citations number
34
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
8
Year of publication
2000
Pages
1503 - 1518
Database
ISI
SICI code
0305-4470(20000303)33:8<1503:BPFSSP>2.0.ZU;2-I
Abstract
Exact reflection and transmission coefficients for supersymmetric shape-inv ariant potentials barriers are calculated by an analytical continuation of the asymptotic wavefunctions obtained via the introduction of new generaliz ed ladder operators. The general form of the wavefunction is obtained by th e use of the F(-infinity, +infinity)-matrix formalism of Froman and Froman which is related to the evolution of asymptotic wavefunction coefficients.