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Casimir effect from a scattering approach

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arxiv 1404.6919 v1 pith:2T3UYQ4D submitted 2014-04-28 quant-ph

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keywords casimirscatteringapproachtheoryeffectforceone-dimensionalquantum
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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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  1. 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 conditional novelty 3.0 of 10

    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 gravit...

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