Affiliation:
1. Institute of Fundamental Studies, Hanthana Road, Kandy, Sri Lanka.
Abstract
We show that the nonhermitian Hamiltonians H = p2 – gx4 + a/x2 and the conventional hermitian Hamiltonians h = p2 + 4gx4 + bx [Formula: see text] are isospectral if a = (b2 – 4gℏ2)/16g and a ≥ –ℏ2/4. This new class includes the equivalent nonhermitian–hermitian Hamiltonian pair, p2 – gx4 and [Formula: see text] found by Jones and Mateo six years ago as a special case. When a = (b2 – 4gℏ2)/16g and a < –ℏ2/4 although h and H are still isospectral, b is pure imaginary, and h is no longer the hermitian counterpart of H.
Publisher
Canadian Science Publishing
Subject
General Physics and Astronomy
Cited by
1 articles.
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