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quant-ph2024
Completeness of Energy Eigenfunctions for the Reflectionless Potential in Quantum Mechanics
F. Erman, O. T. Turgut
There are few exactly solvable potentials in quantum mechanics for which the completeness relation of the energy eigenstates can be explicitly verified. In this article, we give an…
cond-mat.stat-mech2024
The Harmonic Oscillator Potential Perturbed by a Combination of Linear and Non-linear Dirac Delta Interactions with Application to Bose-Einstein Condensation
Cenk Akyüz, Fatih Erman, Haydar Uncu
In this paper, we study the bound state analysis of a one dimensional nonlinear version of the Schrödinger equation for the harmonic oscillator potential perturbed by a poten…