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PT-symmetric supersymmetry in a solvable short-range model
B BAGCHI, S MALLIK, H BíLA, V JAKUBSKý, M ZNOJIL, C QUESNE
Published in WORLD SCIENTIFIC PUBL CO PTE LTD
2006
Volume: 21
   
Issue: 10
Pages: 2173 - 2190
Abstract
The simplest purely imaginary and piecewise constant PT-symmetric potential located inside a larger box is studied. Unless its strength exceeds a certain critical value, all the spectrum of its bound states remains real and discrete. We interpret such a model as an initial element of the generalized non-Hermitian Witten's hierarchy of solvable Hamiltonians and construct its first supersymmetric partner in closed form. © World Scientific Publishing Company.
About the journal
JournalInternational Journal of Modern Physics A
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
ISSN0217-751X
Open AccessYes