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

• URL: http://arxiv.org/abs/2002.01870v2
• Date: Mon, 15 Jun 2020 08:10:02 GMT
• Title: Non-locality and time-dependent boundary conditions: a Klein-Gordon perspective
• Authors: S. Colin and A. Matzkin
• Abstract summary: The dynamics of a particle in an expanding cavity is investigated in the Klein-Gordon framework. We show that this expansion induces a non-local effect on the current density throughout the cavity.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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