75 citations · 172 across the 6 of their papers we have counts for
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On quantum bound states in equiperiodic multi-well potentials I: Locally periodic potential sequences and Floquet/Bloch bands
Karl-Erik Thylwe
Two connected equiperiodic one-dimensional multi-well potentials of different well depths are studied. Floquet/Bloch energy bands for respective multi-well potential are found to b…
Quantum transmission for embedded, locally periodic potentials -- amplitude-phase approaches
Karl-Erik Thylwe
Quantum particle transmission through locally periodic potentials surrounded by symmetric exterior potentials is analyzed. Closed-form conditions for locating energy peaks of total…
The Rotation-Vibration Spectrum of Diatomic Molecules with the Tietz-Hua Rotating oscillator
M. Hamzavi, A. A. Rajabi, K. -E. Thylwe
The Tietz-Hua (TH) potential is one of the very best analytical model potentials for the vibrational energy of diatomic molecules. By using the Nikiforov-Uvarov (NU) method, we hav…
Approximate analytical solution of the Yukawa potential with arbitrary angular momenta
M. Hamzavi, M. Movahedi, K. -E. Thylwe +1
The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov (NU) method, we ha…
Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules
Majid Hamzavi, Sameer M. Ikhdair, Karl-Erik Thylwe
We obtain the bound-state solutions of the radial Schrödinger equation (SE) with the shifted Deng-Fan (sDF) oscillator potential in the frame of the Nikiforov-Uvarov (NU) method an…