Dynamical Casimir Effect for Scalar Fields I (Particle Creation)

Haro, Jaume de

doi:10.1007/s10773-006-9255-4

Cited by 4 publications

(4 citation statements)

References 8 publications

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“…Here, to obtain the Hamiltonian density of the field we follow the method discussed in Refs. [18] and [19]. First, we transform the moving boundary into a fixed one by performing a (non-conformal) change of coordinates R : (t, y) → (t(t, y), x(t, y)) = (t, R(t, y)),…”

Section: A Hamiltonian and Energymentioning

confidence: 99%

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Physically sound Hamiltonian formulation of the dynamical Casimir effect

Haro

Elizalde

2007

Phys. Rev. D

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Recently [J. Haro and E. Elizalde, Phys. Rev. Lett. 97, 130401 (2006)], a Hamiltonian formulation has been introduced in order to address some longstanding severe problems associated with the physical description of the dynamical Casimir effect at all times while the mirrors are moving. Here we present the complete calculation providing precise details, in particular, of the regularization procedure, which is decisive for the correct derivation of physically meaningful quantities. A basic difference when comparing with the results previously obtained by other authors is the fact that the motion force derived in our approach contains a reactive term -proportional to the mirrors' acceleration. This is of the essence in order to obtain particles with a positive energy all the time during the oscillation of the mirrors -while always satisfying the energy conservation law. A careful analysis of the interrelations among the different results previously obtained in the literature is then carried out. For simplicity, the specific case of a neutral scalar field in one dimension, with one or two partially transmitting mirrors (a fundamental proviso for the regularization issue) is considered in more detail, but our general method is shown to be generalizable, without essential problems (Sect. 2 of this paper), to fields of any kind in two and higher dimensions.

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Section: A Hamiltonian and Energymentioning

confidence: 99%

“…For example using a frequency cut-off e −ωγ with 0 < γ ≪ 1, the regularized energy is (see Ref. [19])…”

Section: A Quantum Theory Based On the Hamiltonian Approachmentioning

confidence: 99%

Physically sound Hamiltonian formulation of the dynamical Casimir effect

Haro

Elizalde

2007

Phys. Rev. D

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“…The vacuum radiation power, as well as the Euclidean effective action, of massive field coupled to a moving mirror are derived by means of the path integral approach in [21,22]. Furthermore, the dynamical Casimir effect of a massive field in the presence of two mirrors is considered in [23,24].…”

Section: Introductionmentioning

confidence: 99%

Vacuum Radiation from Massive Scalar Field

Cao

2022

Universe

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The vacuum radiation of a massive scalar field is studied by means of a single moving mirror. The field equation with an arbitrary-shaped mirror moving in (d+1) dimensions is given perturbatively in the non-relativistic limit. Explicit results are obtained for a flat mirror moving in (1+1) dimensions and (3+1) dimensions. The vacuum radiation power and vacuum friction force on the mirror are given in (1+1) dimensions. The intrinsic mass of the field is found to suppress the vacuum radiation. In (3+1) dimensions, the modification of the frequency spectra and angular spectra of emitted particles due to the intrinsic mass are obtained. In the limit of m→0, we recover the results of the massless field.

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“…This suggests it is natural to generalize the methods used in studying dynamical Casimir effect of massless field to that of massive field [19]. Actually, there are many results of massive theories obtained by different approaches in various situations [20,21,22,23,24].…”

Section: Introductionmentioning

confidence: 99%

Vacuum radiation from massive scalar field

Cao¹

2021

Preprint

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The vacuum radiation of massive scalar field by a single moving mirror is studied. The field equation with arbitrary shape mirror in (d + 1) dimensions is given perturbatively in the non-relativistic limit. Detailed analysis are devoted to flat mirror in (1 + 1) dimensions and (3 + 1) dimensions. The formula of vacuum radiation energy and vacuum friction force on the mirror is given in the (1 + 1) dimensions. The modification to the frequency spectra of vacuum radiation and vacuum friction force by the particle mass is discussed. And the particle mass is found to suppress the vacuum radiation. In (3 + 1) dimensions case, the modification of frequency spectra and angular spectra of emitted particles due to the particle mass are obtained. In m → 0 limit, we obtain the results of massless field.

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Dynamical Casimir Effect for Scalar Fields I (Particle Creation)

Cited by 4 publications

References 8 publications

Physically sound Hamiltonian formulation of the dynamical Casimir effect

Physically sound Hamiltonian formulation of the dynamical Casimir effect

Vacuum Radiation from Massive Scalar Field

Vacuum radiation from massive scalar field

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