Related papers: Approximate analytical solutions of the Schr\"{o}dinger equation with Hulth\'{e}n potential in the global monopole spacetime

Approximate analytical solutions of the Schr\"{o}dinger equation with Hulth\'{e}n potential in the global monopole spacetime

URL: http://arxiv.org/abs/2303.01375v1
Date: Thu, 2 Mar 2023 16:00:24 GMT
Title: Approximate analytical solutions of the Schr\"{o}dinger equation with Hulth\'{e}n potential in the global monopole spacetime
Authors: Saulo S. Alves, M\'arcio M. Cunha, Hassan Hassanabadi, Edilberto O. Silva
Abstract summary: We study the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect. We deal with the Schr"odinger equation in the presence of a global monopole.
Score: 0.0
License: http://creativecommons.org/publicdomain/zero/1.0/
Abstract: In this paper, we study the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect. We also consider that the electron is influenced by the Hulth\'{e}n potential. In particular, we deal with the Schr\"{o}dinger equation in the presence of a global monopole. We obtain approximate solutions for the problem, determine the scattering phase shift and the $S$-matrix, and analyze bound states.

Related papers

Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay. We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
arXiv Detail & Related papers (2024-05-27T16:11:39Z)
Analytical solutions of the Schr\"{o}dinger equation for two confined atoms with van der Waals interaction [0.0]
We derive solutions of the Schr"odinger equation for the isotropic van der Waals interaction in a symmetric harmonic trap. We deduce the energy spectrum of the two-body relative motion and relate the spectrum to scattering lengths for $s$ wave and $p$ wave.
arXiv Detail & Related papers (2024-02-02T13:42:39Z)
Ultracold Neutrons in the Low Curvature Limit: Remarks on the post-Newtonian effects [49.1574468325115]
We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime. We calculate the next-to-leading order corrections to the neutron's energy spectrum. While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
arXiv Detail & Related papers (2023-12-30T16:45:56Z)
Small-time controllability for the nonlinear Schr\"odinger equation on $\mathbb{R}^N$ via bilinear electromagnetic fields [55.2480439325792]
We address the small-time controllability problem for a nonlinear Schr"odinger equation (NLS) on $mathbbRN$ in the presence of magnetic and electric external fields. In detail, we study when it is possible to control the dynamics of (NLS) as fast as desired via sufficiently large control signals.
arXiv Detail & Related papers (2023-07-28T21:30:44Z)
Topological Effects on Non-Relativistic Eigenvalue Solutions Under AB-Flux Field with Pseudoharmonic- and Mie-type Potentials [0.0]
We investigate the quantum dynamics of a Schr"odinger particle confined by the Aharonov-Bohm flux field. We show that the eigenvalue solutions shift more due to the magnetic flux in addition to the topological defects.
arXiv Detail & Related papers (2022-10-04T04:56:43Z)
Quantum information for a solitonic particle with hyperbolic interaction [0.0]
We analyze a particle with position-dependent mass, with solitonic mass distribution in a stationary quantum system. We find the analytical solutions of the Schr"odinger equation and their respective quantized energies.
arXiv Detail & Related papers (2021-11-02T23:16:52Z)
Analytical solutions of the one-dimensional Schr\"{o}dinger equation with position-dependent mass [0.0]
The study of the Schr"odinger equation with the position-dependent effective mass has attracted a lot of attention. In the present work we obtain several classes of solutions of the one-dimensional Schr"odinger equation with position-dependent particle mass.
arXiv Detail & Related papers (2021-03-19T10:28:06Z)
Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables. In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
arXiv Detail & Related papers (2021-02-18T20:55:04Z)
The hydrogen atom: consideration of the electron self-field [0.0]
We substantiate the need for account of the proper electromagnetic field of the electron in the canonical problem of hydrogen. We demonstrate that only particular classes of solutions, "nonlinear" analogues of s- and p-states, can be obtained through decomposition of a solution in a series.
arXiv Detail & Related papers (2021-01-05T21:52:41Z)
The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events. A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
arXiv Detail & Related papers (2021-01-04T16:09:10Z)
General quantum-mechanical solution for twisted electrons in a uniform magnetic field [68.8204255655161]
A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted.
arXiv Detail & Related papers (2020-05-13T16:35:10Z)

This list is automatically generated from the titles and abstracts of the papers in this site.