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We present a derivation of the stress field for an interacting quantum system within the framework of local density functional theory. The formulation is geometric in nature and exploits the relationship between the strain tensor field and…

材料科学 · 物理学 2007-05-23 Christopher L. Rogers , Andrew M. Rappe

The expectation values of energy density and pressure of a quantum field inside a wedge-shaped region appear to violate the expected relationship between torque and total energy as a function of angle. In particular, this is true of the…

高能物理 - 理论 · 物理学 2013-03-07 S. A. Fulling , F. D. Mera , C. S. Trendafilova

We introduce a general, simple and effective method of evaluating the zero point energy of a quantum field under the influence of arbitrary boundary conditions imposed on the field on flat surfaces perpendicular to a chosen spatial…

量子物理 · 物理学 2007-05-23 F. C. Santos , A. C. Tort

In this work, we consider a torque caused by the well known quantum mechanical Casimir effect arising from quantized field fluctuations between plates with inhomogeneous, sharply discontinuous, dielectric properties. While the Casimir…

高能物理 - 理论 · 物理学 2014-04-18 William Long , Lucas Schuermann

We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the…

量子物理 · 物理学 2016-11-15 V. M. Mostepanenko

We consider a Casimir apparatus consisting of two perfectly conducting parallel plates, subject to the weak gravitational field of the Earth. The aim of this paper is the calculation of the energy-momentum tensor of this system for a free,…

高能物理 - 理论 · 物理学 2008-11-26 George M. Napolitano , Giampiero Esposito , Luigi Rosa

We calculate the expectation values of the stress-energy bitensor defined at two different spacetime points $x, x'$ of a massless, minimally coupled scalar field with respect to a quantum state at finite temperature $T$ in a flat…

高能物理 - 理论 · 物理学 2016-03-23 H. T. Cho , B. L. Hu

We discuss a framework for quantum fields in curved spacetimes that possess a stress energy tensor as a connection one form on a suitable moduli space of metrics. In generic spacetimes the existence of such a tensor is thought to be a…

数学物理 · 物理学 2026-05-05 Alexander Strohmaier

The Casimir stress on two concentric spherical shell in de Sitter background for massless scalar field is calculated. The scalar field satisfies Dirichlet boundary conditions on the spheres. The metric is written in conformally flat form to…

高能物理 - 理论 · 物理学 2009-11-07 M. R. Setare

The approximate stress-energy tensor of the conformally invariant massless spin-1/2 field in the Hartle-Hawking state in the Schwarzschild spacetime is constructed. It is shown that by solving the conservation equation in conformal space…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Jerzy Matyjasek

Quantum fluctuations of a scalar field and its derivatives are calculated when the field is confined between two parallel plates satisfying Dirichlet or Neumann boundary conditions. After regulation these fluctuations diverge in general…

量子物理 · 物理学 2007-05-23 Konrad Tywoniuk , Finn Ravndal

The Casimir force between two perfectly reflecting parallel plates is considered. In a recent paper we presented generalised physical boundary conditions describing perfectly reflecting parallel plates. These boundary conditions are…

量子物理 · 物理学 2018-03-15 Adam Stokes , Robert Bennett

Vacuum expectation values of the energy-momentum tensor and the Casimir forces are evaluated for scalar and electromagnetic fields in the geometry of two curved boundaries on background of the Robertson-Walker spacetime with negative…

高能物理 - 理论 · 物理学 2010-11-12 A. A. Saharian , M. R. Setare

The regularized expectation value of the stress-energy tensor for a massless bosonic or fermionic field in 1+1 dimensions is calculated explicitly for the instantaneous vacuum relative to any Cauchy surface (here a spacelike curve) in terms…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Don N. Page

Zero-frequency Casimir theory is analyzed from different viewpoints, focusing on the Drude-plasma issue that turns up when one considers thermal corrections to the Casimir force. The problem is that the plasma model, although leaving out…

量子物理 · 物理学 2016-05-11 Johan S. Høye , Iver Brevik

The problem of anisotropic pressures arising as a consequence of the spatial symmetry breaking introduced by an external magnetic field in quantum systems is discussed. The role of the conservation of energy and momentum of external fields…

天体物理学 · 物理学 2009-02-11 A. Perez Martinez , H. Perez Rojas , H. Mosquera Cuesta

We analytically calculate the electronic friction tensor for a molecule near a metal surface in the case that the electronic Hamiltonian is complex-valued, e.g. the case that there is spin-orbit coupling and/or an external magnetic field.…

材料科学 · 物理学 2021-11-29 Hung-Hsuan Teh , Wenjie Dou , Joseph E. Subotnik

We evaluate the two-point functions of the electromagnetic field in (D+1) -dimensional spatially flat Friedmann-Robertson-Walker universes with a power-law scale factor, assuming that the field is prepared in the Bunch-Davies vacuum state.…

高能物理 - 理论 · 物理学 2013-11-15 S. Bellucci , A. A. Saharian

In this paper, we investigate complexity of anisotropic cylindrical object under the influence of electromagnetic field in $f(G,T)$ theory, where $G$ and $T$ indicate the Gauss-Bonnet term and trace of the stress-energy tensor,…

广义相对论与量子宇宙学 · 物理学 2023-01-12 M. Sharif , Komal Hassan

The mean value of the stress-energy tensor of a given quantum field theory at global thermodynamic equilibrium in a curved space-time can be expressed in terms of the derivatives of the Killing four-temperature field and the derivatives of…

高能物理 - 理论 · 物理学 2026-04-16 F. Becattini , F. Palli