Header menu link for other important links
X
PT-symmetric nonpolynomial oscillators and hyperbolic potential with two known real eigenvalues in a susy framework
Published in
2002
Volume: 17
   
Issue: 8
Pages: 463 - 473
Abstract
Extending the supersymmetric method proposed by Tkachuk to the complex domain, we obtain general expressions for superpotentials allowing generation of quasi-exactly solvable PT-symmetric potentials with two known real eigenvalues (the ground state and first-excited state energies). We construct examples, namely those of complexified nonpolynomial oscillators and of a complexified hyperbolic potential, to demonstrate how our scheme works in practice. For the former we provide a connection with the sl(2) method, illustrating the comparative advantages of the supersymmetric one.
About the journal
Published in
Open Access
Impact factor
N/A