A Physically-Motivated Quantisation of the Electromagnetic Field on Curved Spacetimes

Maybee, Ben; Hodgson, Daniel; Beige, Almut; Purdy, Robert

doi:10.3390/e21090844

Cited by 13 publications

(25 citation statements)

References 74 publications

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“…Here , an integrated approach is provided for the treatment of electromagnetic Field as as a quantized phenomena which was attempted previously [10], [11] The formulation of electromagnetic waves in terms of energy fields depends on the system of units, under the (Esu) system volumetric electromagnetic…”

Section: Representation Of Em Field As Space and Time Fieldsmentioning

confidence: 99%

Quanton Fields: Evolution and Degrees of Freedom

Ak¹

2021

Preprint

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The concept of space time had been the subject of debate for so long, here another version will be discussed in the form of space and time fields where a new concept of energy constraining can explain the interactions between those fields. This model comes in three parts : energy constraining , where the evolution of the quanton and its different transitions are discussed, the second part , energy fields, their degrees of freedom and the third part electromagnetic waves as relativistic quantons and the generic form of Maxwell equations in terms of space and time fields. This work shows that the origin many of the physical phenomena can be traced back to the quanton based world .

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Section: Representation Of Em Field As Space and Time Fieldsmentioning

confidence: 99%

Quanton Fields: Evolution and Degrees of Freedom

Ak¹

2021

Preprint

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“…b-The constraining term: (9)(10)(11) which represents the release of energy in a singularity state due to the constraining of part of the free and constrained fields.…”

Section: Energy Constraining and The Release Of Radiative Energymentioning

confidence: 99%

“…Quanton energy fields change periodically with time, this variation at the rate of , and vary in space at the rate of , the total energy of the quanton (as a quantum entity ) is governed by Planck Einstein relationship ( function only in its wave parameters ), namely the relationship between quantons of different energy content can be put as (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13) which means that the quanton radius and the wave length of its characteristic wave behaviour are inversely proportional to its total energy content.…”

Section: Why Do Quantons Split?mentioning

confidence: 99%

“…Recalling here the Dof relationship between quanton energy density and its wave parameters, energy density can be assessed as or (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13) substituting for , and…”

Section: Why Do Quantons Split?mentioning

confidence: 99%

“…For a wave equation to be satisfied (9)(10)(11)(12)(13)(14)(15)(16) This PDE for the constrained field.…”

Section: Wave-like Properties Of Space Fabricmentioning

confidence: 99%

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Quanton Fields: Evolution and Degrees of Freedom

Kassem¹

2021

PSIJ

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For long time the nature of spacetime had been the subject of debate, here another version will be discussed in the form of space and time fields where a new concept of energy constraining can explain the interactions between those fields. This model comes in three parts: energy constraining, where the evolution of the quanton fields and their different transitions are discussed, the second part, energy fields, their degrees of freedom and the third part: electromagnetic waves as relativistic quantons and the generic form of Maxwell quations in terms of space and time fields. This work links many of the physical phenomena back to the quanton based world.

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Locally acting mirror Hamiltonians

Southall

Hodgson

Purdy

et al. 2021

Journal of Modern Optics

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Photons, i.e. the basic energy quanta of monochromatic waves, are highly non-localized and occupy all available space in one dimension. This non-local property can complicate the modelling of the quantized electromagnetic field in the presence of optical elements that are local objects. Therefore, in this paper, we take an alternative approach and quantize the electromagnetic field in position space. Taking into account the negative-and the positive-frequency solutions of Maxwell's equations, we construct annihilation operators for highly localized field excitations with bosonic commutator relations. These provide natural building blocks of wave packets of light and enable us to construct locally acting interaction Hamiltonians for two-sided semi-transparent mirrors.

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A Physically-Motivated Quantisation of the Electromagnetic Field on Curved Spacetimes

Cited by 13 publications

References 74 publications

Quanton Fields: Evolution and Degrees of Freedom

Quanton Fields: Evolution and Degrees of Freedom

Quanton Fields: Evolution and Degrees of Freedom

Locally acting mirror Hamiltonians

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