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quant-ph2022★ 14 cited
Ro-vibrational energy analysis of Manning-Rosen and Pöschl-Teller potentials with a new improved approximation in the centrifugal term
Debraj Nath, Amlan K. Roy
Two physically important potentials (Manning-Rosen and Pöschl-Teller) are considered for the ro-vibrational energy in diatomic molecules. An improved new approximation is invoked f…
quant-ph2022★ 16 cited
Analytical solution of dimensional Schrödinger equation for Eckart potential with a new improved approximation in centrifugal term
Debraj Nath, Amlan K. Roy
Analytical solutions are presented for eigenvalues, eigenfunctions of {\color{red} D-dimensional Schrodinger equation having Eckart potential} within Nikiforov-Uvarov method. This…
quant-ph2021
Comparison between time-independent and time-dependent quantum systems in the context of energy, Heisenberg uncertainty, average energy, force, average force and thermodynamic quantities
Debraj Nath
Exact solutions of time-dependent Schrödinger equation in presence of time-dependent potential is defined by point transformation and separation of variables. Energy and Heisenberg…