19 citations · 60 across the 14 of their papers we have counts for
15 papers
and Arc-Length
Joseph Amal Nathan
We use the classical definitions (i) is the ratio of area to the square of the radius of a circle; (ii) is the ratio of circumference to the diameter of a circle, to prove…
PT-symmetric potentials with imaginary asymptotic saturation
Zafar Ahmed, Sachin Kumar
We point out that PT-symmetric potentials having imaginary asymptotic saturation: are devoid of scattering states and spe…
Divergence of in discontinuous potential wells
Zafar Ahmed, Sachin Kumar, Dona Ghosh +1
The surprising divergence of the expectation value for the square well potential is known. Here, we prove and demonstrate the divergence of in potential wel…
Expectation values of and in the square well potential
Zafar Ahmed, Dona Ghosh, Sachin Kumar +1
Position and momentum representations of a wavefunction and , respectively are physically equivalent yet mathematically in a given case one may be easier or more trans…
Real discrete spectrum of complex PT-symmetric scattering potentials
Zafar Ahmed, Joseph Amal Nathan, Dhruv Sharma +1
We investigate the parametric evolution of the real discrete spectrum of several complex PT symmetric scattering potentials of the type $V(x)=-V_1 F_e(x) + i V_2 F_o(x), V_1>0, F_e…
Accidental crossings of eigenvalues in one-dimensional complex PT-symmetric Scarf-II potential
Zafar Ahmed, Dona Ghosh, Joseph Amal Nathan +1
So far, the well known two branches of real discrete spectrum of complex PT-symmetric Scarf II potential are kept isolated. Here, we suggest that these two need to be brought toget…