Paradoxes of the quantum theory of the Vavilov-Cerenkov and Doppler effects

Skobel’tsyn, D. V.

doi:10.1070/pu1977v020n06abeh005407

Cited by 9 publications

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“…the energy and velocity of a photon in a medium with n > 1. From the other side, indeed, p m p a p c , where p a " p cn k is the Abraham form of the momentum of the photon itself and p c " p n 2 ÿ1k nc is the Abraham force impulse, which is on average transferred to the medium by a moving photon [8][9][10][11][12].…”

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confidence: 99%

“…The phenomenological quantum theory of the VCR, developed by Ginzburg [1,7,8], as well as macroscopical HTF theory, still does not take into consideration the changes of the radiating medium energy state, which might be necessary for the VCR realization. The quantum VCR theory [1,7,8] reflects only on the changes of some medium momentum (but not in energy) state in an implicit, rather special and debatable [9,10] form. This is due to the fact that the quantum theory [1,7,8] uses the Minkovsky presentation for the photon momentum in a medium: p m " p nk c , where k v p v p , c is the light speed in vacuum, and " p and v p are, respectively.…”

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Relativistic Generalization of the Landau Criterion as a New Foundation of the Vavilov-Cherenkov Radiation Theory

Chefranov

2004

Phys. Rev. Lett.

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The relativistic generalization of the Landau criterion is obtained for the determination of threshold conversion of medium elementary Bose-condensed excitation into Cherenkov's photon unbremsstrahlung radiation. In contraposition to classic Vavilov-Cherenkov radiation (VCR) theory, the new VCR theory admits the conditions for effective and direct VCR realization even for high-frequency transverse electromagnetic waves in isotropic plasma.

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confidence: 99%

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Relativistic Generalization of the Landau Criterion as a New Foundation of the Vavilov-Cherenkov Radiation Theory

Chefranov

2004

Phys. Rev. Lett.

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Electromagnetic energy and momentum in moving media

Obukhov¹

2008

Ann. Phys.

119

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The problem of the electromagnetic energy-momentum tensor is among the oldest and the most controversial in macroscopic electrodynamics. In the center of the issue is a dispute about the Minkowski and the Abraham tensors for moving media. An overview of the current situation is presented. After putting the discussion into a general Lagrange-Noether framework, the Minkowski tensor is recovered as a canonical energy-momentum. It is shown that the balance equations of energy, momentum, and angular momentum are always satisfied for an open electromagnetic system despite the lack of the symmetry of the canonical tensor. On the other hand, although the Abraham tensor is not defined from first principles, one can formulate a general symmetrization prescription provided a timelike vector is available. We analyze in detail the variational model of a relativistic ideal fluid with isotropic electric and magnetic properties interacting with the electromagnetic field. The relation between the Minkowski energy-momentum tensor, the canonical energy-momentum of the medium and the Abraham tensor is clarified. It is demonstrated that the Abraham energy-momentum is relevant when the 4-velocity of matter is the only covariant variable that enters the constitutive tensor.Comment: 22 pages, Latex AdP-style, to appear in Minkowski's centenary issue of Annalen der Physi

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Electromagnetic energy and momentum in moving media

Obukhov

2008

Annalen der Physik

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The problem of the electromagnetic energy‐momentum tensor is among the oldest and the most controversial in macroscopic electrodynamics. In the center of the issue is a dispute about the Minkowski and the Abraham tensors for moving media. An overview of the current situation is presented. After putting the discussion into a general Lagrange‐Noether framework, the Minkowski tensor is recovered as a canonical energy‐momentum. It is shown that the balance equations of energy, momentum, and angular momentum are always satisfied for an open electromagnetic system despite the lack of the symmetry of the canonical tensor. On the other hand, although the Abraham tensor is not defined from first principles, one can formulate a general symmetrization prescription provided a timelike vector is available. We analyze in detail the variational model of a relativistic ideal fluid with isotropic electric and magnetic properties interacting with the electromagnetic field. The relation between the Minkowski energy‐momentum tensor, the canonical energy‐momentum of the medium and the Abraham tensor is clarified. It is demonstrated that the Abraham energy‐momentum is relevant when the 4‐velocity of matter is the only covariant variable that enters the constitutive tensor.

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Paradoxes of the quantum theory of the Vavilov-Cerenkov and Doppler effects

Cited by 9 publications

References 1 publication

Relativistic Generalization of the Landau Criterion as a New Foundation of the Vavilov-Cherenkov Radiation Theory

Relativistic Generalization of the Landau Criterion as a New Foundation of the Vavilov-Cherenkov Radiation Theory

Electromagnetic energy and momentum in moving media

Electromagnetic energy and momentum in moving media

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