| Issue |
EPL
Volume 130, Number 5, June 2020
|
|
|---|---|---|
| Article Number | 50003 | |
| Number of page(s) | 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/130/50003 | |
| Published online | 26 June 2020 | |
Non-locality and time-dependent boundary conditions: A Klein-Gordon perspective
Laboratoire de Physique Théorique et Modélisation, CNRS Unité 8089, CY Cergy Paris Université 95302 Cergy-Pontoise cedex, France
Received: 11 February 2020
Accepted: 12 June 2020
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 wave function. 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 in non-relativistic solutions obtained from the Schrödinger equation. Possible reasons for this behaviour are discussed.
PACS: 03.65.-w – Quantum mechanics / 03.65.Pm – Relativistic wave equations / 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)
© EPLA, 2020
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