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Casimir effect from a scattering approach

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abstract

The Casimir force is a spectacular consequence of the existence of vacuum fluctuations and thus deserves a place in courses on quantum theory. We argue that the scattering approach within a one-dimensional field theory is well suited to discuss the Casimir effect. It avoids in a transparent way divergences appearing in the evaluation of the vacuum energy. Furthermore, the scattering approach connects in a natural manner to the standard discussion of one-dimensional scattering problems in a quantum theory course. Finally, it allows to introduce students to the methods employed in the current research literature to determine the Casimir force in real-world systems.

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fields

gr-qc 1

years

2025 1

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unclear 1

representative citing papers

Analogy of space-time as an elastic medium -- Study of the perturbation tensor of the metric $h_{\mu\nu}$ through the prism of the analogy of the theory of elasticity -- Analysis and potential consequences

gr-qc · 2025-06-27 · conditional · novelty 3.0

The weak-field metric perturbation h_mu_nu, mapped onto an elastic strain tensor, has components h0z, hxz, hyz and hzz that no known GR experiment activates, which the authors suggest may be new deformations or gravitational wave polarizations.

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