The zero-mass limit problem for a relativistic spinless particle in an electromagnetic field

Key Points

• The aim is to explore the behavior of spinless particles in electromagnetic fields as the mass approaches zero.
• Analyzed mass-parameter-dependent solutions of Schrödinger equations
• Utilized imaginary-time formulations
• Examined convergence as functionals of Lévy processes
• Represented findings through stochastic integrals of Poisson point processes
• Demonstrated convergence of solutions when mass-parameter approaches zero
• Identified a link between particle behavior and Lévy processes
• Highlighted the role of stochastic integrations in describing relativistic effects