Work

Application of Laskin Fractional Quantum mechanics with a changed fractional differential operator to one-dimensional potentials

Year: 2025

Type: article

Abstract: We studied the quantum mechanics problem of certain one-dimensional potential functions using Laskin fractional quantum mechanics. We used different representations to describe the kinetic energy operator, including the conformable and Riemann-Liouville-Caputo fractional differential operators. We then compared each approach's energy states and wave function outcomes for single and double rectangular and harmonic potentials. As the fractional index increased, there was a noticeable difference between the excited level energy values resulting from each method. Additionally, we find a noticeable change in the probability density when the system exhibits degenerate states. Our results provide a straightforward and standardized approach for solving the one-dimensional fractional Schrödinger equation numerically.

Source: Revista Mexicana de Física

DOI: 10.31349/revmexfis.71.020703

Authors: Leidy Yoana Medina, Julián David Correa, Miguel Eduardo Mora-Ramos, Jhon Freddy Pérez-Torres

Institutions: Universidad de Medellín, Universidad Autónoma del Estado de Morelos, Universidad Industrial de Santander

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408080867

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