Bosonic Casimir effect in external magnetic field

Cougo-Pinto, M. V.; Farina, C.; Negrao, M. R.; Tort, A. C.

doi:10.1088/0305-4470/32/24/310

Cited by 28 publications

(36 citation statements)

References 25 publications

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“…This suggests the possibility to obtain a system of parallel highly doped semiconductor slabs with a Casimir-free effect. Similar results have been found in the studies of the influence of an external magnetic field on the Casimir energy of a massive charged scalar field confined between two parallel infinite plates [22]. Schwinger's proper-time formula for the effective actions formalism was employed to calculate the energy.…”

Section: Resultssupporting

confidence: 65%

Casimir force between two parallel semiconductor slabs: Magnetic field effects in the Voigt geometry

Garcı́a-Serrano

Martínez

Hernández

et al. 2009

Physica Status Solidi (b)

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We investigate the Casimir force F between two parallel semiconductor slabs taking into account magnetoplasmon effects. For our calculations we consider an external magnetic field applied in the Voigt geometry. Studies are carried out using the formula of F, which is written in terms of the reflectivities of the incident electromagnetic (EM) waves onto the surfaces of the semiconductor slabs, in the vacuum gap between slabs. Results show that the Casimir force depends strongly on the slab thickness as well as on the magnetic‐field strength (or equivalently on the cyclotron frequency). At a constant cyclotron frequency and for small slab thickness F/F0 (F0 is the ideal force) displays a dip at small separation distances L between slabs. F/F0 increases with L up to saturation as the slab thickness increases. The curve with the strongest value of F/F0 corresponds to the semi‐infinite medium geometry. For a constant slab thickness and small cyclotron frequency, F/F0 as a function of L shows a monotonic increase as L increases, and eventually reaches saturation. At high cyclotron frequency F/F0 displays a dip. The curve of F/F0 with no applied external field corresponds to the one with the strongest Casimir force. Therefore, magnetoplasmon effects, with an applied magnetic field in the Voigt geometry may inhibit the Casimir force. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Section: Resultssupporting

confidence: 65%

Casimir force between two parallel semiconductor slabs: Magnetic field effects in the Voigt geometry

Garcı́a-Serrano

Martínez

Hernández

et al. 2009

Physica Status Solidi (b)

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“…It should be noted that exactly this problem has been studied more than a decade ago in Refs. [13,14,15], however, results obtained there are incomplete, and, therefore, somewhat misleading. In particular, according to them, there is no room for the validation of the aforementioned intuitive suggestion: the pressure in all circumstances is negative, i.e.…”

Section: Introductionmentioning

confidence: 99%

The Casimir effect with quantized charged scalar matter in background magnetic field

Sitenko

Yushchenko

2014

Int. J. Mod. Phys. A

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We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged massive scalar matter field confined between two parallel plates; the magnetic field is directed orthogonally to the plates. The admissible set of boundary conditions at the plates is determined by the requirement that the operator of one-particle energy squared be self-adjoint and positive definite. We show that, in the case of a weak magnetic field and a small separation of the plates, the Casimir force is either attractive or repulsive, depending on the choice of a boundary condition. In the case of a strong magnetic field and a large separation of the plates, the Casimir force is repulsive, being independent of the choice of a boundary condition, as well as of the distance between the plates.

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“…(16) The expression in (16) provides the new non-linear a-dependent contributions to the magnetic susceptibility stemming jointly from the external field B and the boundary conditions. It provides at each order in the expansion (13) a contribution due to the influence of the boundary conditions.…”

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confidence: 99%

Magnetic permeability of constrained scalar QED vacuum

et al. 2000

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We compute the influence of boundary conditions on the Euler-Heisenberg effective Lagrangian scalar QED scalar for the case of a pure magnetic field. The boundary conditions constrain the quantum scalar field to vanish on two parallel planes separeted by a distance a and the magnetic field is assumed to be constant, uniform and perpendicular to the planes. The effective Lagrangian is obtained using Schwinger's proper-time representation and exhibits new contributions generated by the boundary condition much in the same way as a material pressed between two plates exhibits new magnetic properties. The confined bosonic vacuum presents the expected diamagnetic properties and besides the new non-linear a-dependent contributions to the susceptibility we show that there exists also a new a-dependent contribution for the vacuum permeability in the linear approximation. *

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Bosonic Casimir effect in external magnetic field

Cited by 28 publications

References 25 publications

Casimir force between two parallel semiconductor slabs: Magnetic field effects in the Voigt geometry

Casimir force between two parallel semiconductor slabs: Magnetic field effects in the Voigt geometry

The Casimir effect with quantized charged scalar matter in background magnetic field

Magnetic permeability of constrained scalar QED vacuum

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