Bound states of a quartic and sextic inverse-powerlaw potential for all angular momenta
| Autor: | A. Mebirouk, Abdulaziz D. Alhaidari, I. A. Assi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Polynomial Quantum Physics Tridiagonal matrix General Physics and Astronomy FOS: Physical sciences Numerical Analysis (math.NA) Applied Physics (physics.app-ph) Physics - Applied Physics Schrödinger equation symbols.namesake Singularity Mathematics::Algebraic Geometry Square-integrable function Quartic function Bound state symbols FOS: Mathematics Mathematics - Numerical Analysis Quantum Physics (quant-ph) Bessel function Mathematical physics |
| Popis: | We use the tridiagonal representation approach to solve the radial Schr\"odinger equation for an inverse power-law potential of a combined quartic and sextic degrees and for all angular momenta. The amplitude of the quartic singularity is larger than that of the sextic but the signs are negative and positive, respectively. It turns out that the system has a finite number of bound states, which is determined by the larger ratio of the two singularity amplitudes. The solution is written as a finite series of square integrable functions written in terms of the Bessel polynomial. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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