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We present a self-contained introduction to the classical theory of spacetime and fields. This exposition is based on the most general principles: the principle of general covariance (relativity) and the principle of least action. The order…

General Relativity and Quantum Cosmology · Physics 2024-01-15 Nikodem Popławski

In the first part of this work we apply Bohr (old or naive quantum atomic) theory for analysis of the remarkable electro-dynamical problem of magnetic monopoles. We reproduce formally exactly some basic elements of the Dirac magnetic…

General Physics · Physics 2015-08-31 Vladan Pankovic

The theme of this paper is the multiplicity of the consistent sets appearing in the consistent histories approach to quantum mechanics. We propose one criterion for choosing preferred families among them: that the physically realizable…

Quantum Physics · Physics 2007-05-23 C. Anastopoulos

We propose a new quantum approach for describing a system of $n$ interacting particles with variable mass connected by an unknown field with variable form ($n$-VMVF systems). Instead of assuming any particular nature for variation of the…

Quantum Physics · Physics 2018-11-30 Israel A. González Medina

In the first quarter of the 20th century, physicists were not aware of the existence of classical electromagnetic zero-point radiation nor of the importance of special relativity. Inclusion of these aspects allows classical electron theory…

Classical Physics · Physics 2022-01-11 Timothy H. Boyer

More than twenty years have passed since the threads of the `proper time formalism' in covariant classical and quantum mechanics were brought together to construct a canonical formalism for the relativistic mechanics of many particles.…

High Energy Physics - Theory · Physics 2016-09-06 M. C. Land , L. P. Horwitz

In order to analyse classical electromagnetism in a medium at finite temperature we introduce `an optical density operator', and reformulate Maxwell's equations with the operator, starting from the Dirac-equation-like formulation of…

Optics · Physics 2019-12-17 Daigo Oue

In investigations of the emergence of classicality from quantum theory, a useful step is the construction of quantum operators corresponding to the classical notion that the system resides in a region of phase space. The simplest such…

Quantum Physics · Physics 2015-08-13 J. J. Halliwell

An algebraic approach is formulated in the harmonic approximation to describe a dynamics of two-fermion systems, confined in three-dimensional axially symmetric parabolic potential, in an external magnetic field. The fermion interaction is…

Mathematical Physics · Physics 2013-07-30 M. Cerkaski , R. G. Nazmitdinov

Spinfoam models provide a covariant formulation of the dynamics of loop quantum gravity. They are non-perturbatively defined in the group field theory (GFT) framework: the GFT partition function defines the sum of spinfoam transition…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Etera R. Livine , Daniele Oriti , James P. Ryan

We discuss continuous duality transformations and the properties of classical theories with invariant interactions between electromagnetic fields and matter. The case of scalar fields is treated in some detail. Special discrete elements of…

High Energy Physics - Theory · Physics 2007-05-23 Mary K. Gaillard , Bruno Zumino

We address a long-standing debate over whether classical magnetic forces can do work, ultimately answering the question in the affirmative. In detail, we couple a classical particle with intrinsic spin and elementary dipole moments to the…

High Energy Physics - Phenomenology · Physics 2023-07-28 Jacob A. Barandes

It is convenient to describe a quantum system at all times by means of a "history operator" $C$, encoding measurements and unitary time evolution between measurements. These operators naturally arise when computing the probability of…

Quantum Physics · Physics 2019-10-31 Leonardo Castellani

The basic ingredients of the `consistent histories' approach to quantum theory are a space $\UP$ of `history propositions' and a space $\D$ of `decoherence functionals'. In this article we consider such history quantum theories in the case…

General Relativity and Quantum Cosmology · Physics 2009-10-28 S. Schreckenberg

The spin-statistics conection is obtained for classical point particles. The connection holds within pseudomechanics, a theory of particle motion that extends classical physics to include anticommuting Grassmann variables, and which…

Classical Physics · Physics 2011-06-20 J. A. Morgan

Modal interpretations of quantum mechanics assign definite properties to physical systems and specify single-time joint probabilities of these properties. We show that a natural extension, applying to properties at several times, can be…

Quantum Physics · Physics 2009-10-31 Dennis Dieks

This paper discusses the relation between the decoherent histories approach to quantum mechanics that is based on coarse-grained decoherent histories of a closed system, and the approximate quantum mechanics of measured subsystems, as in…

Quantum Physics · Physics 2021-11-01 Murray Gell-Mann , James B Hartle

In this work we investigate the matrix elements of the energy-momentum tensor for massless on-shell states in four-dimensional unitary, local, and Poincar\'e covariant quantum field theories. We demonstrate that these matrix elements can be…

High Energy Physics - Theory · Physics 2020-12-10 Cédric Lorcé , Peter Lowdon

We construct an operational formulation of classical mechanics without presupposing previous results from analytical mechanics. In doing so, several concepts from analytical mechanics will be rediscovered from an entirely new perspective.…

Quantum Physics · Physics 2023-06-21 A. D Bermúdez Manjarres

Following the line of the history, if by one side the electromagnetic theory was consolidated on the 19th century, the emergence of the special and the general relativity theories on the 20th century opened possibilities of further…

General Physics · Physics 2019-11-14 Celso de Araujo Duarte
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