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In this paper we utilize $\zeta$-function regularization techniques in order to compute the Casimir force for massless scalar fields subject to Dirichlet and Neumann boundary conditions in the setting of the conical piston. The piston…

High Energy Physics - Theory · Physics 2011-03-14 Guglielmo Fucci , Klaus Kirsten

We investigate the pseudo-Casimir force acting between two charged surfaces confining a single polyelectrolyte chain with opposite charge. We expand the exact free energy to the second order in the local electrostatic field as well as the…

Soft Condensed Matter · Physics 2009-11-07 R. Podgornik , J. Dobnikar

The infrared behavior of quantum field theories confined in bounded domains is strongly dependent on the shape and structure of space boundaries. The most significant physical effect arises in the behaviour of the vacuum energy. The Casimir…

High Energy Physics - Theory · Physics 2013-07-16 M. Asorey , J. M. Munoz-Castaneda

We study gapped boundaries characterized by "fermionic condensates" in 2+1 d topological order. Mathematically, each of these condensates can be described by a super commutative Frobenius algebra. We systematically obtain the species of…

High Energy Physics - Theory · Physics 2021-03-17 Jiaqi Lou , Ce Shen , Chaoyi Chen , Ling-Yan Hung

We examine the Casimir effect for free statistical field theories which have Hamiltonians with second order derivative terms. Examples of such Hamiltonians arise from models of non-local electrostatics, membranes with non-zero bending…

Statistical Mechanics · Physics 2020-02-25 David S. Dean , Bing Miao , Rudolf Podgornik

The Casimir densities are investigated for a massive spinor field in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions. The vacuum expectation value of the energy-momentum tensor is presented in the…

High Energy Physics - Theory · Physics 2009-05-12 A. A. Saharian

We evaluate dissipative effects for a system consisting of a massive Dirac field confined between two walls, one of them oscillating, in 1+1 dimensions. In the model that we consider, a dimensionless parameter characterizing each wall is…

High Energy Physics - Theory · Physics 2022-02-25 C. D. Fosco , G. Hansen

We calculate modifications to the scalar Casimir force between two parallel plates due to space-time non-commutativity. We devise a heuristic approach to overcome the difficulties of describing boundaries in non-commutative theories and…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Casadio , Alessandro Gruppuso , Benjamin Harms , Octavian Micu

We study rotating thermal states of a massless quantum fermion field inside a cylinder in Minkowski space-time. Two possible boundary conditions for the fermion field on the cylinder are considered: the spectral and MIT bag boundary…

High Energy Physics - Theory · Physics 2016-01-20 Victor E. Ambrus , Elizabeth Winstanley

The rotation induced inhomogeneous problem is non-trivial and inevitable. In this paper a generic framework is developed to investigate the inhomogeneous condensate in a system of fermions under the presence of rotation. It is a…

Nuclear Theory · Physics 2019-09-11 Lingxiao Wang , Yin Jiang , Lianyi He , Pengfei Zhuang

The Casimir forces on two parallel plates in conformally flat domain wall background due to conformally coupled massless scalar field satisfying mixed boundary conditions on the plates is investigated. In the general case of mixed boundary…

High Energy Physics - Theory · Physics 2009-11-10 M. R. Setare

We study the spatial properties of the Casimir friction phenomenon for an atom moving at a non-relativistic constant velocity parallel to a planar graphene sheet. The coupling of the atom to the vacuum electromagnetic (EM) field is…

Quantum Physics · Physics 2023-08-30 Aitor Fernández , César D. Fosco

We have presented an analytic theory for the Casimir force on a Bose-Einstein condensate (BEC) which is confined between two parallel plates. We have considered Dirichlet boundary conditions for the condensate wave function as well as for…

Statistical Mechanics · Physics 2010-04-08 Shyamal Biswas , J. K. Bhattacharjee , Dwipesh Majumder , Kush Saha , Nabajit Chakravarty

We present an analytical and numerical analysis of the particle creation in a cavity ended with two SQUIDs, both subjected to time dependent magnetic fields. In the linear and lossless regime, the problem can be modeled by a free quantum…

Quantum Physics · Physics 2018-08-22 F. C. Lombardo , F. D. Mazzitelli , A. Soba , P. I. Villar

We investigate the fermionic condensate and the vacuum expectation value of the energy-momentum tensor for a massive spinor field in the geometry of a straight cosmic string on background of de Sitter spacetime. By using the Abel-Plana…

High Energy Physics - Theory · Physics 2010-08-24 E. R. Bezerra de Mello , A. A. Saharian

I investigate the finite temperature Casimir effect for a charged and massless scalar field satisfying mixed (Dirichlet-Neumann) boundary conditions on a pair of plane parallel plates of infinite size. The effect of a uniform magnetic…

High Energy Physics - Theory · Physics 2020-11-03 Andrea Erdas

We present an efficient method for propagating the time-dependent Kohn-Sham equations in free space, based on the recently introduced Fourier contour deformation (FCD) approach. For potentials which are constant outside a bounded domain,…

Chemical Physics · Physics 2023-07-10 Jason Kaye , Alex Barnett , Leslie Greengard , Umberto De Giovannini , Angel Rubio

Systems with an O(n) symmetrical Hamiltonian are considered in a $d$-dimensional slab geometry of macroscopic lateral extension and finite thickness $L$ that undergo a continuous bulk phase transition in the limit $L\to\infty$. The…

Statistical Mechanics · Physics 2008-03-14 Daniel Grüneberg , H. W. Diehl

The Casimir effect for a massless scalar field with Dirichlet and periodic boundary conditions (b.c.) on infinite parallel plates is revisited in the local quantum field theory (lqft) framework introduced by B.Kay. The model displays a…

Mathematical Physics · Physics 2008-11-26 N. A. Kawakami , M. C. Nemes , W. F. Wreszinski

We consider a region of Minkowski spacetime bounded either by one or by two parallel, infinitely extended plates orthogonal to a spatial direction and a real Klein-Gordon field satisfying Dirichlet boundary conditions. We quantize these two…

Mathematical Physics · Physics 2015-10-01 Claudio Dappiaggi , Gabriele Nosari , Nicola Pinamonti