Recoil of Rotating Detector

Suga, Takayuki; Mochizuki, Riuji; Ikegami, Kenji

doi:10.1143/ptp.101.783

Cited by 3 publications

(4 citation statements)

References 1 publication

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“…We consider that, due to the present study to be limited to a very small region of spacetime, the introduction of such rotating referential frame is permitted. Unruh-like back reaction effects on the plates also will be neglected [43], due to low rotation of the system.…”

Section: A First Order Correction To the Casimir Energymentioning

confidence: 99%

Casimir effect due to a slowly rotating source in the weak-field approximation

2014

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We calculate the renormalized vacuum energy density for a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed very close to the surface of a rotating spherical gravitational source with mass M , radius R and momentum angular J, at the equatorial region. We consider that the source rotates slowly and that the gravitational field is weak. Corrections to the Casimir energy density induced by the gravitational field generated by this source are calculated up to M/R 2 order. The obtained results show us that there is an important modification in the Casimir energy only in this order of approximation, which depends on the surface gravity as well as on the rotation of the source. Thermal corrections to the Casimir energy found also are calculated in all these orders.

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Section: A First Order Correction To the Casimir Energymentioning

confidence: 99%

Casimir effect due to a slowly rotating source in the weak-field approximation

2014

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“…The problem of finding true rotational transformation between the rotating and non-rotating frames is one important aspect of conflict. While most authors have used Galilean rotational transformation (GRT) to investigate the Unruh effect for rotating observer [7][8][9][10][11][12][13], some other have tried to use corresponding relativistic transformations [14][15][16][17]. As we briefly mention them below, their results are different .…”

Section: Introductionmentioning

confidence: 99%

The Unruh effect for eccentric uniformly rotating observers

Ramezani-Aval

2018

Int. J. Mod. Phys. D

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It is common to use Galilean rotational transformation to investigate the Unruh effect for uniformly rotating observers. However, the rotating observer in this subject is an eccentric observer while Galilean rotational transformation is only valid for centrally rotating observers. Thus, the reliability of the results of applying Galilean rotational transformation to the study of the Unruh effect might be considered as questionable. In this work the rotational analog of the Unruh effect is investigated by employing two relativistic rotational transformations corresponding to the eccentric rotating observer, and it is shown that in both cases the detector response function is non-zero. It is also shown that although consecutive Lorentz transformations can not give a frame within which the canonical construction can be carried out, the expectation value of particle number operator in canonical approach will be zero if we use modified Franklin transformation. These conclusions reinforce the claim that correspondence between vacuum states defined via canonical field theory and a detector is broken for rotating observers. Some previous conclusions are commented on and some controversies are also discussed. * Electronic address: ramezani@gonabad.ac.ir

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“…The rotation , to the best of our knowledge, has not been considered in random classical radiation. It was studied in quantum case and only for the massless scalar field, particularly in connection with rotating vacuum puzzle [9,18,33] and different coordinate mappings.…”

Section: Introductionmentioning

confidence: 99%

“…cos θ( k n 2 λ 2 ) = sin θ( k n 1 λ 1 ) sin θ( k n 2 λ 2 ) = 1 (k 0 n 1 ) 2 δ n 1 n 2 δ( k1 − k2 ). (91)The equation 2 λ=1 ǫ i ( kλ)ǫ j ( kλ) = δ ij − ki kj does not depend on n. The correlation function finally takes the form(33,32) …”

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confidence: 99%

Thermal Effects of Rotation in Random Classical Zero-Point Radiation

Levin¹

2007

Preprint

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The rotating reference system {µ τ }, along with the two-point correlation functions (CFs) and energy density, is defined and used as the basis for investigating thermal effects observed by a detector rotating through random classical zero-point radiation. The reference system consists of Frenet -Serret orthogonal tetrads µ τ . At each proper time τ the rotating detector is at rest and has a constant acceleration vector at the µ τ .The two-point CFs and the energy density at the rotating reference system should be periodic with the period T = 2π Ω , where Ω is an angular detector velocity, because CF and energy density measurements is one of the tools the detector can use to justify the periodicity of its motion. The CFs have been calculated for both electromagnetic and massless scalar fields in two cases, with and without taking this periodicity into consideration. It turned out that only periodic CFs have some thermal features and particularly the Planck's factor with the temperature T rot = hΩ 2πkB (k B is the Boltzman constant).Regarding to the energy density of both electromagnetic and massless scalar field it is shown that the detector rotating in the zero-point radiation observes not only this original zero-point radiation but , above that, also the radiation which would have been observed by an inertial detector in the thermal bath with the Plank's spectrum at the temperature T rot . This effect is masked by factor 2 3 (4γ 2 − 1) for the electromagnetic field and 2 9 (4γ 2 − 1) for the massless scalar field, where γ = (1−( Ωr c ) 2 ) −1/2 . Appearance of these masking factors is connected with the fact that rotation is defined by two parameters, angular velocity and the radius of rotation, in contrast with a uniformly accelerated linear motion which is defined by only one parameter, acceleration a.Our calculations involve classical point of view only and to the best of our knowledge the results have not been reported in quantum theory yet.

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Recoil of Rotating Detector

Cited by 3 publications

References 1 publication

Casimir effect due to a slowly rotating source in the weak-field approximation

Casimir effect due to a slowly rotating source in the weak-field approximation

The Unruh effect for eccentric uniformly rotating observers

Thermal Effects of Rotation in Random Classical Zero-Point Radiation

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