2023/11/28 by C. F. S. Pereira, R. L. L. Vitória, A. R. Soares +2
Physics and Astronomy · #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Non-Hermitian Physics #Orbital Angular Momentum in Optics
paper · doi:10.1142/s0219887824500932
In this work, we investigate the quantum dynamics of non-relativistic systems in a Born–Infeld spacetime. We analyze some general scenarios, which concerns the effects of a harmonic oscillator and an inverse square-type potential as well as an Aharonov–Bohm geometric phase. We obtain an analytical solution for the most general case in terms of a confluent Heun function and define the energy spectrum by referring to the ground state, together with its respective eigenfunction. A graphical representation was built so that it was possible to visualize some of the possible energy configurations. For negative values of the Born–Infeld parameter [Formula: see text], we perform a connection with results of quantum dynamics already investigated in the literature for the Ellis–Bronnikov spacetime.