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quant-ph2004
A pseudo-unitary ensemble of random matrices, PT-symmetry and the Riemann Hypothesis
Zafar Ahmed, Sudhir R. Jain
An ensemble of 2 x 2 pseudo-Hermitian random matrices is constructed that possesses real eigenvalues with level-spacing distribution exactly as for the Gaussian Unitary Ensemble fo…
quant-ph2003
A note on Coulomb scattering amplitude
Zafar Ahmed
The summation of the partial wave series for Coulomb scattering amplitude, is avoided because the series is oscillatorily and divergent. Instead, is obtained by s…
quant-ph2003★ 1 cited
A practice problem for Schr{ö}dinger transmission
Zafar Ahmed
We present the case of quantal transmission through a smooth, single-piece exponential potential, , in contrast to the piece-wise continuous potentials, as a ped…