Abstract
The technique for quantizing simple static systems can be extended to more generalized systems that involve time-dependent parameters. In this work, a particle with linearly increasing mass that is bound by a time-dependent singular potential, which is composed of an inverse quadratic potential and a Coulomb-like potential, is quantized by using the Nikiforov-Uvarov method together with the invariant operator method and the unitary transformation method. The Nikiforov-Uvarov method is an alternative method for solving the Schrödinger equation on the basis of a particular mathematical technique that reduces second-order differential equations to generalized hypergeometric ones. The exact wave functions of the system are identified, and their properties are addressed in detail.
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Menouar, S., Choi, J.R. Quantization of time-dependent singular potential systems in one-dimension by using the Nikiforov-Uvarov method. Journal of the Korean Physical Society 67, 1127–1132 (2015). https://doi.org/10.3938/jkps.67.1127
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DOI: https://doi.org/10.3938/jkps.67.1127