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quant-ph2019
Expectation value of in continuous two-piece symmetric potential wells
Zafar Ahmed, Sachin Kumar
Earlier, potentials like square well and several other half-potential wells with discontinuous jump have been found to have the expectation value to be divergent for…
quant-ph2019
Symmetric Fermi-type potential
Zafar Ahmed, Sachin Kumar, Tarit Goswami +1
We utilize the amenability of the Fermi-type potential profile in Schr{ö}dinger equation to construct a symmetric one dimensional well as $V(x){=}{-}U_n/[1+\exp[(|x|{-}a)/b]], ~ U_…
quant-ph2019
Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)]
Zafar Ahmed, Sachin Kumar, Abhijit Baishya
A recent paper [J. Math. Phys. {\bf 59}, 082105 (2018)] constructs a Hamiltonian for the (dissipative) damped harmonic oscillator. We point out that non-Hermiticity of this Hamilto…