Work

Dirac fermion in a time-dependent spherical box

Year: 2025

Type: article

Abstract: We consider a Dirac particle in a spherical box with a time-dependent radius. Analytical and numerical solutions of the time-dependent Dirac equation with time-dependent boundary (Dirichlet) conditions are obtained. Using the obtained solutions, physically observable characteristics of the dynamical confinement, such as the average kinetic energy (as a function of time) and average quantum force acting on the particle by the moving wall, are calculated. The trembling motion is analysed by computing the average coordinate of the Dirac particle as a function of time. The absence of the geometric phase is shown by direct calculation.

Source: Acta Polytechnica

DOI: 10.14311/ap.2025.65.0546

Authors: Kuvonchbek Matchonov, Davron Matrasulov, Jaroslav Dittrich

Institutions: National University of Uzbekistan, Tashkent Institute of Architecture and Civil Engineering, Turin Polytechnic University, Czech Academy of Sciences, Nuclear Physics Institute

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: European Commission

Awards: Spectral Optimization: From Mathematics to Physics and Advanced Technology, G434337789