Non-locality and time-dependent boundary conditions: a Klein-Gordon perspective

Abstract

The dynamics of a particle in an expanding cavity is investigated in the Klein-Gordon framework in a regime in which the single particle picture remains valid. The cavity expansion represents a time-dependent boundary condition for the relativistic wavefunction. We show that this expansion induces a non-local effect on the current density throughout the cavity. Our results indicate that a relativistic treatment still contains apparently spurious effects traditionally associated with the unbounded velocities inherent to non-relativistic solutions obtained from the Schroedinger equation. Possible reasons for this behaviour are discussed.

Accepted for publication in Europhysics Letters

References in corpus (4)

• Quantum Dynamics in a Time-dependent Hard-Wall Spherical Trap
• Controlling a Quantum System via its Boundary Conditions
• A Novel SUSY Energy Bound States Treatment of the Klein-Gordon Equation with PT-Supersymmetric and q-Deformed Hulthen Potential
• Nonlocality and local causality in the Schrödinger Equation with time-dependent boundary conditions

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