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In quantum optics it is usual to describe the basic energy quanta of the electromagnetic (EM) field, photons, in terms of monochromatic waves which have a definite energy and momentum, and satisfy bosonic commutation relations. Taking this…

Quantum Physics · Physics 2023-03-09 Daniel R. E. Hodgson

Applications that envisage utilizing the orbital angular momentum (OAM) at the single photon level assume that the OAM degrees of freedom that the photons inherit from the classical wave solutions are orthogonal. To test this critical…

Quantum Physics · Physics 2017-10-20 Alexander Punnoose , Jiufeng J. Tu

A quantum mechanics representation based on position ($\vec{r}$), linear momentum($\vec{p}$) and energy($E$) eigenvalues is presented here. A set of equations, explicitly independent on wave function, was derived relating these observables.…

Quantum Physics · Physics 2019-03-22 Jeconias Rocha Guimarães

Classically, electromagnetic pulses are described by real fields that couple to charged matter and propagate causally. We will show here that real fields of the form used in standard classical electromagnetic theory have a quantum…

Quantum Physics · Physics 2021-12-07 Margaret Hawton

This article shows that one can consistently incorporate nonunitary representations of at least one group into the ``ordinary'' nonrelativistic quantum mechanics. This group turns out to be Lorentz group thus giving us an alternative…

High Energy Physics - Theory · Physics 2007-05-23 Bojan Bistrovic

It is shown that the concept of elementary resonator in the theory of thermal radiation implies the indivisible connection between particles (photons) and electromagnetic waves. This wave-particle duality covers both the Wien and…

Quantum Physics · Physics 2007-05-23 Fedor V. Prigara

Models of the spontaneous emission of photons coupled to the electronic states of quantum dots are important for understanding quantum interactions in dielectric media as applied to proposed solid-state quantum computers, single photon…

Mesoscale and Nanoscale Physics · Physics 2010-12-01 Sergio Tafur , Michael N. Leuenberger

Recently we introduced a local photon approach for modelling the quantised electromagnetic field in position space. Using this approach, we define the momentum of light in this paper as in quantum mechanics as the generator for spatial…

Quantum Physics · Physics 2025-02-06 Gabriel Waite , Daniel Hodgson , Ben Lang , Varghese Alapatt , Almut Beige

Lorentz-covariant harmonic oscillator wave functions are constructed from the Lorentz-invariant oscillator differential equation of Feynman, Kislinger, and Ravndal for a two-body bound state. The wave functions are not invariant but…

Quantum Physics · Physics 2007-05-23 Y. S. Kim , Marilyn E. Noz

In biorthogonal quantum mechanics, the eigenvectors of a quasi-Hermitian operator and those of its adjoint are biorthogonal and complete and the probability for a transition from a quantum state to any one of these eigenvectors is positive…

Quantum Physics · Physics 2016-06-16 Margaret Hawton , Vincent Debierre

We have recently constructed a photon position operator with commuting components. This was long thought to be impossible, but our position eigenvectors have a vortex structure like twisted light. Thus they are not spherically symmetric and…

Quantum Physics · Physics 2015-05-13 Margaret Hawton

The position-representation wave function for multi-photon states and its equation of motion are introduced. A major strength of the theory is that it describes the complete evolution (including polarization and entanglement) of…

Quantum Physics · Physics 2009-11-13 Brian J. Smith , M. G. Raymer

In the paper we calculate the frequency shift induced on a photon by the interaction with a low density electronic plasma. The technique is the standard perturbation theory of quantum electrodynamics, taking into account the many body…

Astrophysics · Physics 2009-10-30 A. Laio , G. Rizzi , A. Tartaglia

A general formulation of classical relativistic particle mechanics is presented, with an emphasis on the fact that superluminal velocities and nonlocal interactions are compatible with relativity. Then a manifestly relativistic-covariant…

High Energy Physics - Theory · Physics 2019-11-19 H. Nikolic

The modes of the electromagnetic field are solutions of Maxwell's equations taking into account the material boundary conditions. The field modes of classical optics - properly normalized - are also the mode functions of quantum optics.…

Quantum Physics · Physics 2014-11-27 Birgit Stiller , Ulrich Seyfarth , Gerd Leuchs

In this paper, I argue that light is a continuous classical electromagnetic wave, while the observed so-called quantum nature of the interaction of light with matter is connected to the discrete (atomic) structure of matter and to the…

Quantum Physics · Physics 2016-02-04 Sergey A. Rashkovskiy

A derivation is presented of the quantummechanical wave equations based upon the Equity Principle of Einstein's General Relativity Theory. This is believed to be more generic than the common derivations based upon Einstein's energy…

General Physics · Physics 2007-07-19 Engel Roza

The article consider an interpretation of Majorana equations as a quantum Lorentz covariant equations for the field of Einstein photon. A photon with "deinterlaced" spins (with diagonal Hamiltonian) is considered, its generalized Green…

General Physics · Physics 2026-05-06 Aleksandr Beilinson

This paper is devoted to the theory of quantum electromagnetic field in an optically dense medium. Self-consistent equations describing interaction between a quantum field and a quantum dielectric medium are obtained from the first…

Optics · Physics 2015-01-29 M. D. Tokman , M. A. Erukhimova , V. V. Vdovin

In this paper, we have proposed the spinor wave equation of free and non-free photon. On this basis, we given the spin operators and spin wave functions of photon, and calculated the wave function of photon in vacuum and medium. In…

Optics · Physics 2019-02-19 Xiang-Yao Wu , Ben-Shan Wu , Qing Pan , Xiao-Jing Liu , Ji-Ping Liu , Xiao-Ru Zhang , Ji Ma