Analysis of Non-Relativistic Energy, Wave Function, and Black Hole’s Application with Minimal Length
Authors: Suparmi A , Wibawa Briant Sabathino Harya , Cari C , Faniandari Suci 
Published: August 2024

<p class="JIPIAbstrakTitle"><em>The </em><em>Schr</em><em>ö</em><em>dinger</em><em> equation for q-deformed modified Eckart </em><em>potential </em><em>was investigated in the presence of minimal length formalism using the approximate new wave function</em><em> and q</em><em>-</em><em>deformed potential</em><em>. It</em><em> was</em><em> reduced to </em><em>Schrödinger </em><em> equation </em><em>with</em><em> </em><em>modified Poschl-Teller</em><em> potential. </em><em>Th</em><em>is equation was solved using Asymptotic Iteration Method (AIM)</em><em> to get</em><em> </em><em>t</em><em>he energy </em><em>eigenvalues </em><em>equation and wave functions</em><em>.</em><em> </em><em>The wave function was used to determined t</em><em>he Rényi entropy</em><em> of quantum system. Then</em><em>,</em><em> the R</em><em>é</em><em>nyi entropy was used to determine the mass energy parameter, temperature and heat capacity of the black hole </em><em>for</em><em> </em><em>some diatomic</em><em> molecules.</em><em> </em><em>Th</em><em>e </em><em>energy spectra showed that </em><em>the increase of </em><em>radial and angular </em><em>quantum number</em><em>,</em><em> </em><em>potential width,</em><em> minimal length parameter,</em><em> and the molecule mass</em><em> caused the decrease </em><em>of</em><em> energy eigenvalues. The radial quantum number and the </em><em></em><em> parameter had the most effect to the wave functions, the number of waves</em><em>,</em><em> and the wavelength. The potential width, radial quantum number</em><em>,</em><em> and entropy parameter had the most effect on Rényi entro</em><em>p</em><em>y, mass energy parameter, temperature and heat capacity of Schwarzschild black hole. The increase of quantum number</em><em> caused the decrease of Renyi entropy</em><em></em><em>, mass energy parameter</em><em>, temperature and heat capacity of Schwarzchild black hole</em><em>,</em><em> but the increase of d</em><em></em><em> caused the increase of </em><em>Renyi entropy</em><em></em><em>, mass energy parameter</em><em>, temperature and heat capacity of Schwarzchild black hole</em><em>.</em></p><em><span style="font-size: 10.0pt; font-family: 'Arial',sans-serif; mso-fareast-font-family: 'Times New Roman'; position: relative; top: 2.5pt; mso-text-raise: -2.5pt; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;" lang="EN-US"><!--[if gte vml 1]><v:shapetype
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