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The path is explored between one-dimensional scattering through Dirac-$\delta$ walls and one-dimensional quantum field theories defined on a finite length interval with Dirichlet boundary conditions. It is found that two $\delta$'s are…

数学物理 · 物理学 2011-06-10 J. Mateos Guilarte , Jose M. Muñoz-Castañeda

Casimir effect in most general terms may be understood as a backreaction of a quantum system causing an adiabatic change of the external conditions under which it is placed. This paper is the second installment of a work scrutinizing this…

高能物理 - 理论 · 物理学 2009-11-11 Andrzej Herdegen

The Casimir self-energy of a boundary is ultraviolet-divergent. In many cases the divergences can be eliminated by methods such as zeta-function regularization or through physical arguments (ultraviolet transparency of the boundary would…

介观与纳米尺度物理 · 物理学 2014-11-20 Eugene B. Kolomeisky , Joseph P. Straley , Luke S. Langsjoen , Hussain Zaidi

Non-trivial $\phi ^{4}$-theory is studied in a renormalisation group invariant approach inside a box consisting of rectangular plates and where the scalar modes satisfy periodic boundary conditions at the plates. It is found that the…

高能物理 - 唯象学 · 物理学 2009-10-22 K. Langfeld , F. Schm"user , H. Reinhardt

Analytical arguments suggest that the Casimir energy in 2+1 dimensions for gauge theories exponentially decays with the distance between the boundaries. The phenomenon has also been observed by non-perturbative numerical simulations. The…

高能物理 - 理论 · 物理学 2025-01-31 Manuel Asorey , Fernando Ezquerro , Miguel Pardina

The Casimir effect in an inhomogeneous dielectric is investigated using Lifshitz's theory of electromagnetic vacuum energy. A permittivity function that depends continuously on one Cartesian coordinate is chosen, bounded on each side by…

量子物理 · 物理学 2015-05-14 T. G. Philbin , C. Xiong , U. Leonhardt

Under dimensional reduction, a system in D spacetime dimensions will not necessarily yield its D-1-dimensional analog version. Among other things, this result will depend on the boundary conditions and the dimension D of the system. We…

高能物理 - 理论 · 物理学 2009-06-24 A. Edery , N. Graham , I. MacDonald

In this work I investigate the finite temperature Casimir effect due to a massive and charged scalar field that breaks Lorentz invariance in a CPT-even, aether-like way. I study the cases of Dirichlet and mixed (Dirichlet-Neumann) boundary…

高能物理 - 理论 · 物理学 2021-08-11 Andrea Erdas

In recent work by two of us, [Durrer & Ruser, PRL 99, 071601 (2007); Ruser & Durrer PRD 76, 104014 (2007)], graviton production due to a moving spacetime boundary (braneworld) in a five dimensional bulk has been considered. In the same way…

宇宙学与河外天体物理 · 物理学 2010-08-13 Marcus Ruser , Ruth Durrer , Marc Vonlanthen , Peter Wittwer

We study theoretically the dynamical Casimir effect in an exciton-polariton condensate that is suddenly created by an ultrashort laser pulse at normal incidence. As a consequence of the abrupt change of the quantum vacuum, Bogoliubov…

量子气体 · 物理学 2015-06-15 Selma Koghee , Michiel Wouters

The generation of photons from the vacuum by means of the movement of a mirror is known as the dynamical Casimir effect (DCE). In general, this phenomenon is effectively described by a field with time-dependent boundary conditions.…

量子物理 · 物理学 2021-06-04 Andrés Agustí , Laura García-Álvarez , Enrique Solano , Carlos Sabín

We study the fermion pair creation phenomenon due to the time dependence of curves, where boundary conditions are imposed on a Dirac field in 2+1 dimensions. These conditions, which lead to non-trivial relations for the normal component of…

高能物理 - 理论 · 物理学 2023-08-08 C. D. Fosco , G. Hansen

The effect of edges and apertures on the Casimir energy of an arrangement of plates and boundaries can be calculated in terms of an effective nonlocal lower-dimensional field theory that lives on the boundary. This formalism has been…

高能物理 - 理论 · 物理学 2013-06-05 Dimitra Karabali , V. P. Nair

We study novel type of contributions to the partition function of the Maxwell system defined on a small compact manifold ${\mathbb{M}}$ such as torus. These new terms can not be described in terms of the physical propagating photons with…

高能物理 - 理论 · 物理学 2015-06-03 Ariel R. Zhitnitsky

The Casimir effect giving rise to an attractive or repulsive force between the configuration boundaries that confine the massless scalar field is reexamined for one to three-dimensional pistons in this paper. Especially, we consider Casimir…

高能物理 - 理论 · 物理学 2008-11-26 Xiang-hua Zhai , Xin-zhou Li

We study the Casimir problem for a fermion coupled to a static background field in one space dimension. We examine the relationship between interactions and boundary conditions for the Dirac field. In the limit that the background becomes…

高能物理 - 理论 · 物理学 2015-06-26 P. Sundberg , R. L. Jaffe

When one studies the Casimir effect, the periodic (anti-periodic) boundary condition is usually taken to mimic a periodic (anti-periodic) structure for a scalar field living in a flat space with a non-Euclidean topology. However, there…

高能物理 - 理论 · 物理学 2014-01-07 Chao-Jun Feng , Xin-Zhou Li , Xiang-Hua Zhai

We demonstrate that the Unruh-DeWitt harmonic-oscillator detectors in (1+1) dimensions derivative-coupled with a massless scalar field can mimic the atom mirrors in free space. Without introducing the Dirichlet boundary condition to the…

高能物理 - 理论 · 物理学 2018-11-30 Shih-Yuin Lin

We evaluate the Casimir energy and force for a massive scalar field with general curvature coupling parameter, subject to Robin boundary conditions on two codimension-one parallel plates, located on a $(D+1)$-dimensional background…

高能物理 - 理论 · 物理学 2009-12-10 E. Elizalde , S. D. Odintsov , A. A. Saharian

In a recent series of papers, Schwinger discussed a process that he called the Dynamical Casimir Effect. The key essence of this effect is the change in zero-point energy associated with any change in a dielectric medium. (In particular, if…

高能物理 - 理论 · 物理学 2009-10-30 C. E. Carlson , C. Molina-Paris , J. Perez-Mercader , Matt Visser