Abstract
In a box of size L, a spatially antisymmetric square-well potential of a purely imaginary strength ig and size l < L is interpreted as an initial element of the SUSY hierarchy of solvable Hamiltonians, the energies of which are all real for g < g c (l). The first partner potential is constructed in closed form and discussed.
Similar content being viewed by others
References
H. Bila, V. Jakubsky, M. Znojil, B. Bagchi, S. Mallik, and C. Quesne: Czech. J. Phys. 55 (2005) 1075 (this issue). B. Bagchi, H. Bila, V. Jakubsky, S. Mallik, C. Quesne, and M. Znojil: quant-ph/0503035 (unpublished).
H. Langer and C. Tretter: Czech. J. Phys. 54 (2004) 1113. M. Znojil: J. Math. Phys. 46 (2005) 062109; quant-ph/0410196.
M. Znojil and G. Levai: Mod. Phys. Lett. A 16 (2001) 2273. V. Jakubsky and M. Znojil: Czech. J. Phys. 54 (2004) 1101.
E. Witten: Nucl. Phys. B 188 (1981) 513. B. Bagchi: Supersymmetry in Quantum and Classical Mechanics, Chapman and Hall/CRC Press, London/Boca Raton, 2000.
B. Bagchi, S. Mallik, and C. Quesne: Mod. Phys. Lett. A 17 (2002) 1651.
C.M. Bender, D.C. Brody, and H.F. Jones: Phys. Rev. Lett. 89 (2002) 270401.
A. Mostafazadeh and A. Batal: J. Phys. A: Math. Gen. 37 (2004) 11645.
C.V. Sukumar: J. Phys. A: Math. Gen. 18 (1985) L57.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Quesne, C., Bagchi, B., Mallik, S. et al. \(\mathcal{P}\mathcal{T}\)-supersymmetric partner of a short-range square well. Czech J Phys 55, 1161–1166 (2005). https://doi.org/10.1007/s10582-005-0122-y
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10582-005-0122-y