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We present in this paper how the single-photon wave function for transversal photons (with the direct sum of ordinary unitary representations of helicity 1 and -1 acting on it) is subsumed within the formalism of Gupta-Bleuler for the…

Mathematical Physics · Physics 2018-10-16 Jaroslaw Wawrzycki

The Gupta-Bleuler formalism for photons is derived from induced representation theory. The representation for the little group for massless particles, the two dimensional Euclidian group, is chosen to be the four dimensional nonunitary…

Nuclear Theory · Physics 2008-11-26 W. H. Klink

In this work we extend the Mackey's theory of induced unitary representations on a wide class of Krein-isometric induced representations in Krein spaces. The subgroup theorem and the Kronecker product theorem are shown to be valid for the…

Mathematical Physics · Physics 2019-07-26 Jaroslaw Wawrzycki

The theory of gauge-fixed Maxwell equations in linear isotropic dielectrics is developed using a generalisation of the standard $R_\xi$ gauge-fixing term. In static space-times, the theory can be quantised using the Gupta-Bleuler method,…

Quantum Physics · Physics 2023-12-05 Thomas Mieling

The nonlocality of single-photon states has been analyzed from several different but interrelared perspectives. In this article, we propose a demonstration based on the electromagnetic energy density observable and on the anti-local…

Quantum Physics · Physics 2023-10-30 Maxime Federico , Hans-Rudolf Jauslin

We first present a summary of the quantization of the electromagnetic field in position space representation, using two main approaches: the Landau-Peierls approach in the Coulomb gauge and the Bialynicki-Birula approach, based on the…

Quantum Physics · Physics 2023-05-17 Maxime Federico , Hans Rudolf Jauslin

Photon quantization is implemented in the standard model extension (SME) using the Gupta-Bleuler method and BRST concepts. The quantization prescription applies to both the birefringent and non-birefringent CPT-even couplings. A curious…

High Energy Physics - Phenomenology · Physics 2014-04-23 Don Colladay , Patrick McDonald , Robertus Potting

Classical model of light in helicity formalism is presented. Then quantum point of view at photons -- construction and interpretation of photon wave function is proposed. Quantum mechanics of photon is investigated. The Bia\l ynicki --…

Quantum Physics · Physics 2021-02-03 Maciej Przanowski , Jaromir Tosiek , Francisco J. Turrubiates

We present a covariant framework for the quantization of the electromagnetic field in the presence of magnetic monopoles. Building on the two-potential formalism of Cabibbo and Ferrari, which treats electric and magnetic sources on equal…

High Energy Physics - Theory · Physics 2025-09-29 Kanan Anwar

We give a complete framework for the Gupta-Bleuler quantization of the free electromagnetic field on globally hyperbolic space-times. We describe one-particle structures that give rise to states satisfying the microlocal spectrum condition.…

Mathematical Physics · Physics 2021-10-22 Felix Finster , Alexander Strohmaier

We present in this paper a fully covariant quantization of the minimally-coupled massless field on de Sitter space. We thus obtain a formalism free of any infrared (e.g logarithmic) divergence. Our method is based on a rigorous group…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J-P. Gazeau , J. Renaud , M. V. Takook

The monochromatic Dirac and polychromatic Titulaer-Glauber quantized field theories (QFTs) of electromagnetism are derived from a photon-energy wave function in much the same way that one derives QFT for electrons, that is, by quantization…

Quantum Physics · Physics 2008-11-26 Brian J. Smith , M. G. Raymer

In the framework of the canonical quantization of the electromagnetic field, we impose as primary condition on the dynamics the positive definiteness of the energy spectrum. This implies that (Glauber) coherent states have to be considered…

Quantum Physics · Physics 2018-09-26 M. Blasone , E. Celeghini , P. Jizba , F. Scardigli , G. Vitiello

We present a Gupta-Bleuler quantization scheme for the electromagnetic field in time-dependent dielectric media. Starting from the Maxwell equations, a generalization of the Lorentz gauge condition adapted to time varying dielectrics is…

Quantum Physics · Physics 2011-04-19 Xiao-Min Bei , Zhong-Zhu Liu

We develop an image theory for the recently proposed single-bounce quantum gravimeter. Free fall and quantum bounce of a matter wave-packet are described through decompositions over a basis of continuous energies. This leads to a much…

Quantum Physics · Physics 2025-12-04 Joachim Guyomard , Serge Reynaud , Pierre Cladé

We reexamine in detail a canonical quantization method a la Gupta-Bleuler in which the Fock space is built over a so-called Krein space. This method has already been successfully applied to the massless minimally coupled scalar field in de…

General Relativity and Quantum Cosmology · Physics 2016-08-31 T. Garidi , E. Huguet , J. Renaud

A four-dimensional photon polarization space, such that gives a different interpretation of the ladder operators for the time-like degree comparing to the Gupta-Bleuler formulation is presented. This interpretation, coming from the…

Quantum Physics · Physics 2017-07-25 Klaudia Wrzask

This work comprises a study upon the quantization and the renormalizability of the generalized electrodynamics of spinless charged particles (mesons), namely, the Generalized Scalar Electrodynamics ($GSQED_{4}$). The theory is quantized in…

High Energy Physics - Theory · Physics 2014-04-04 R. Bufalo , B. M. Pimentel

The quantum theory of U(1) connections admits a diffeomorphism invariant representation in which the electric flux through any surface is quantized. This representation is the analog of the representation of quantum SU(2) theory used in…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Madhavan Varadarajan

We consider an electric charge, minimally coupled to the Maxwell field, rotating around a Schwarzschild black hole. We investigate how much of the radiation emitted from the swirling charge is absorbed by the black hole and show that most…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jorge Castineiras , Luis C. B. Crispino , George E. A. Matsas , Rodrigo Murta
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