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Although spatial locality is explicit in the Heisenberg picture of quantum dynamics, spatial locality is not explicit in the Schr\"odinger picture equations of motion. The gauge picture is a modification of Schr\"odinger's picture such that…

Quantum Physics · Physics 2024-07-30 Sayak Guha Roy , Kevin Slagle

We show a unified physical picture of single cyclotron electron with radiation-reaction, which bridges the classical electron models and quantum mechanical self-consistent field theory. On a classical level, we suggest an improved…

General Physics · Physics 2021-04-20 Qiang Chen , Peifeng Fan , Jianyuan Xiao

The spontaneous production of electron-positron pairs from the vacuum--in a field configuration composed of a high-frequency electric mode of weak intensity and a strong constant electric field--is investigated. Asymptotic expressions for…

High Energy Physics - Phenomenology · Physics 2019-12-25 Selym Villalba-Chávez , Carsten Müller

It is not possible to detect a vacuum fluctuation without a test particle interacting with the vacuum fluctuation in a measurable manner. In the quantum electrodynamics calculation presented here, a photon traveling through the vacuum is…

General Physics · Physics 2020-04-01 G. B. Mainland , Bernard Mulligan

The vacuum of quantum electrodynamics is unstable against the formation of many-body states in the presence of an external electric field, manifesting itself as the creation of electron-positron pairs (Schwinger effect). This effect has…

High Energy Physics - Phenomenology · Physics 2011-07-01 Florian Hebenstreit

In this work we apply field regularization techniques to formulate a number of new phenomena related to momentum induced by electromagnetic zero-point fluctuations. We discuss the zero-point momentum associated with magneto-electric media,…

Quantum Physics · Physics 2009-11-13 B. A. van Tiggelen

Vacuum polarization, a key prediction of quantum theory, can cause a variety of intriguing phenomena that can be triggered by high-intensity laser pulses. The Heisenberg-Euler theory of the quantum vacuum supplements Maxwell's theory of…

High Energy Physics - Phenomenology · Physics 2023-02-28 Andreas Lindner , Baris Ölmez , Hartmut Ruhl

The classical theory of radiating point-charges is revisited: the retarded potentials, fields, and currents are defined as nonlinear generalized functions. All calculations are made in a Colombeau algebra, and the spinor representations…

Classical Physics · Physics 2008-12-31 Andre Gsponer

Quantum vacuum fluctuations of the electromagnetic field in empty space seem not to produce observable effects over the motion of a charged test particle. However, when a change in the background vacuum state is implemented, as for instance…

High Energy Physics - Theory · Physics 2020-02-11 V. A. De Lorenci , C. C. H. Ribeiro

We have numerically solved the Heisenberg-Langevin equations describing the propagation of quantized fields through an optically thick sample of atoms. Two orthogonal polarization components are considered for the field and the complete…

Quantum Physics · Physics 2009-11-13 A. Lezama , P. Valente , H. Failache , M. Martinelli , P. Nussenzveig

It is shown that general solutions of the free-particle Schroedinger equation can be mapped onto solutions of the Schroedinger equation for the harmonic oscillator. This is done in such a way that the time evolution of a free particle…

Quantum Physics · Physics 2010-08-25 Ole Steuernagel

The Heisenberg-Euler theory of the quantum vacuum supplements Maxwell's theory of electromagnetism with nonlinear light-light interactions. These originate in vacuum fluctuations, a key prediction of quantum theory, and can be triggered by…

Computational Physics · Physics 2023-09-28 Andreas Lindner , Baris Ölmez , Hartmut Ruhl

The static second hyperpolarizability is derived from the space-fractional Schr\"{o}dinger equation in the particle-centric view. The Thomas-Reiche-Kuhn sum rule matrix elements and the three-level ansatz determines the maximum second…

Quantum Physics · Physics 2017-11-22 Nathan J. Dawson , Onassis Nottage , Moussa Kounta

To advance hierarchial equations of motion as a standard theory for quantum dissipative dynamics, we put forward a mixed Heisenberg--Schrodinger scheme with block-matrix implementation on efficient evaluation of nonlinear optical response…

Chemical Physics · Physics 2015-05-30 Jian Xu , Rui-Xue Xu , Darius Abramavicius , Houdao Zhang , YiJing Yan

We show that the two-point function of a quantum field theory with de Sitter momentum space (herein called DSR) can be expressed as the product of a standard delta function and an energy-dependent factor. This is a highly non-trivial…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Giulia Gubitosi , Michele Arzano , Joao Magueijo

A classical electromagnetic zero-point field (ZPF) analogue of the vacuum of quantum field theory has formed the basis for theoretical investigations in the discipline known as random or stochastic electrodynamics (SED) wherein quantum…

Quantum Physics · Physics 2009-11-07 M. Ibison , B. Haisch

We study the localization transitions which arise in both one and two dimensions when quantum mechanical particles described by a random Schr\"odinger equation are subjected to a constant imaginary vector potential. A path-integral…

Condensed Matter · Physics 2016-08-31 Naomichi Hatano , David R. Nelson

As a serious attempt for constructing a new foundation for describing micro-entities from a causal standpoint, it was explained before in [1, 2, 3] that by unifying the concepts of information, matter and energy, each micro-entity is…

Quantum Physics · Physics 2017-09-22 Fatemeh Ahmadi , Afshin Shafiee

In a recent paper [1], it has been shown that negative norm states are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their presence, while leaving unchanged the physical content…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mohammad Vahid Takook

We employ the Schwinger-Keldysh formalism to study the nonequilibrium dynamics of the mirror with perfect reflection moving in a quantum field. Within the regime of linear response in terms of a first order expansion of the mirror's…

Quantum Physics · Physics 2009-11-11 Chun-Hsien Wu , Da-Shin Lee