Effective photon mass and exact translating quantum relativistic structures

Haas, Fernando; Manrique, Marcos Antonio Albarracin

doi:10.1063/1.4945627

Cited by 6 publications

(10 citation statements)

References 52 publications

(119 reference statements)

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“…This is not a simple task and presents some formal difficulties. We should however mention work on photon mass in quantum relativistic plasmas, [49] and on charge and mass in classical relativistic magnetized plasmas. [50] We conclude that the electromagnetic field in isotropic quantum plasmas can be described by quantized bosons, with different charges and different masses.…”

Section: Discussionmentioning

confidence: 99%

Field quantization in quantum plasmas: Photon and plasmon charge and mass

Mendonça

2021

Contributions to Plasma Physics

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We study electromagnetic field quantization in isotropic quantum plasmas, thus connecting two distinct problems of quantum plasma physics. We include plasmons and transverse photon states. We show that field quantization in a plasma is equivalent to that of massive boson fields and discuss the qualitative differences with respect to standard quantization in a vacuum. We consider nonlinear effects and show that photon and plasmon charges can be associated with the ponderomotive force. We also discuss the conservation properties of these affective charges during nonlinear mixing processes. The existence of photon and plasmon charge and mass could be relevant to laboratory experiments and to astrophysics.

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Section: Discussionmentioning

confidence: 99%

Field quantization in quantum plasmas: Photon and plasmon charge and mass

Mendonça

2021

Contributions to Plasma Physics

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“…where equation ( 16) was taken into account for equation (17). We left the system (16) untouched by now. Equation (17) gives…”

Section: Noether Symmetries For the Real Scalar Fieldmentioning

confidence: 99%

“…While equations (24) and (25) have already been fully examined, there remains equation (23), which is equivalent to equation (27). To analyze the last one, we take into account the system (16). For instance, considering the first line in equation (16), for m = 0, n = 1 in equation (16), it results…”

Section: Noether Symmetries For the Real Scalar Fieldmentioning

confidence: 99%

“…To analyze the last one, we take into account the system (16). For instance, considering the first line in equation (16), for m = 0, n = 1 in equation (16), it results…”

Section: Noether Symmetries For the Real Scalar Fieldmentioning

confidence: 99%

“…The class of external fields so that Noether point symmetries are admissible will be so determined, for the first time, as well as the accompanying conservation laws. The problem has interest for strong laser-plasma interactions, where test-particle dynamics has both relativistic and quantum aspects [14][15][16]. Being a pedagogical paper that could be useful for graduates and PhD students, it is worth enlarging the discussion to cases that are now of interest in current researches.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Pedagogical systematic derivation of Noether point symmetries in special relativistic field theories and extended gravity cosmology

Haas¹

2016

Eur. J. Phys.

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A didactic and systematic derivation of Noether point symmetries and conserved currents is put forward in special relativistic field theories, without a priori assumptions about the transformation laws. Given the Lagrangian density, the invariance condition develops as a set of partial differential equations determining the symmetry transformation. The solution is provided in the case of real scalar, complex scalar, free electromagnetic, and charged electromagnetic fields. Besides the usual conservation laws, a less popular symmetry is analyzed: the symmetry associated with the linear superposition of solutions, whenever applicable. The role of gauge invariance is emphasized. The case of the charged scalar particle under external electromagnetic fields is considered, and the accompanying Noether point symmetries determined.

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Compton scattering of plasmons

Mendonça¹,

Haas

2023

Phys. Scr.

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We extend de concept of Compton scattering to the case of plasmons. This concept was originally applied to electrons in vacuum. Here, we consider electrons in a plasma, and study the scattering properties of photon-plasmon interactions. We show that a number n of plasmons with frequency ω ≃ ωp is scattered by an electron, for an incident photon with frequency ω′ ≥ ωp, where ωp is the plasma frequency. We describe the general case of arbitrary n and assume that Compton scattering of plasmons is intrinsically a nonlinear process. Our theoretical model is based on Volkov solutions of the Klein-Gordon equation describing the state of relativistic electrons, when the spin is ignored. We derive the corresponding scattering probability, as well as the recoil formula associated with arbitrary the final electron states. This process can be relevant to intense laser plasma interactions.

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Effective photon mass and exact translating quantum relativistic structures

Cited by 6 publications

References 52 publications

Field quantization in quantum plasmas: Photon and plasmon charge and mass

Field quantization in quantum plasmas: Photon and plasmon charge and mass

Pedagogical systematic derivation of Noether point symmetries in special relativistic field theories and extended gravity cosmology

Compton scattering of plasmons

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