71 citations · 194 across the 6 of their papers we have counts for
6 papers
PT-supersymmetric partner of a short-range square well
C. Quesne, B. Bagchi, S. Mallik +3
In a box of size , a spatially antisymmetric square-well potential of a purely imaginary strength and size is interpreted as an initial element of the SUSY hi…
PT-symmetric supersymmetry in a solvable short-range model
B. Bagchi, H. Bila, V. Jakubsky +3
The simplest purely imaginary and piecewise constant -symmetric potential located inside a larger box is studied. Unless its strength exceeds a certain critical value, all…
Infinite square well and periodic trajectories in classical mechanics
B. Bagchi, S. Mallik, C. Quesne
We examine the classical problem of an infinite square well by considering Hamilton's equations in one dimension and Hamilton-Jacobi equation for motion in two dimensions. We illus…
PT-symmetric square well and the associated SUSY hierarchies
B. Bagchi, S. Mallik, C. Quesne
The PT-symmetric square well problem is considered in a SUSY framework. When the coupling strength lies below the critical value where PT symmetry becomes sp…
Complexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues
B. Bagchi, S. Mallik, C. Quesne
We analyze a set of three PT-symmetric complex potentials, namely harmonic oscillator, generalized Poschl-Teller and Scarf II, all of which reveal a double series of energy levels…
Generating Complex Potentials with Real Eigenvalues in Supersymmetric Quantum Mechanics
B. Bagchi, S. Mallik, C. Quesne
In the framework of SUSYQM extended to deal with non-Hermitian Hamiltonians, we analyze three sets of complex potentials with real spectra, recently derived by a potential algebrai…