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Atomic-like systems in which electronic motion is two dimensional are now realizable as ``quantum dots''. In place of the attraction of a nucleus there is a confining potential, usually assumed to be quadratic. Additionally, a perpendicular…

Condensed Matter · Physics 2007-05-23 E. H. Lieb , J. P. Solovej , J. Yngvason

The vacuum energy is computed for a scalar field in a noncommutative background in several models of noncommutative geometry. One may expect that the noncommutativity introduces a natural cutoff on the ultraviolet divergences of field…

High Energy Physics - Theory · Physics 2018-03-14 S. Mignemi , A. Samsarov

Current advancements in communication equipment demand the investigation of classical information transfer over quantum channels, by encompassing realistic scenarios in finite dimensions. To address this issue, we develop a framework for…

Quantum Physics · Physics 2026-01-08 Sudipta Mondal , Pritam Halder , Saptarshi Roy , Aditi Sen De

Structural and static properties of a classical two-dimensional (2D) system consisting of a finite number of charged particles which are laterally confined by a parabolic potential are investigated by Monte Carlo (MC) simulations and the…

Strongly Correlated Electrons · Physics 2009-11-07 Minghui Kong , B. Partoens , F. M. Peeters

In this paper, we investigate the observational constraints on the scenario of vacuum energy interacting with cold dark matter. We consider eight typical interaction forms in such an interacting vacuum energy scenario. The observational…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-26 Hai-Li Li , Lu Feng , Jing-Fei Zhang , Xin Zhang

A relation between classical electrostatic fields and Schr\"odinger-like Hamiltonians is evidenced. Hence, supersymmetric quantum potentials analogous to classical electrostatic fields can be constructed. Proposing an ansatz for the…

Mathematical Physics · Physics 2023-10-04 Juan D. García-Muñoz , A Raya

Standard cosmology poses a number of important questions. Apart from its singular origin, it possesses early and late accelerating phases required to account for observations. The vacuum energy has been considered as a possible way to…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-25 Saulo Carneiro , Reza Tavakol

Vacuum energy remains the simplest model of dark energy which could drive the accelerated expansion of the Universe without necessarily introducing any new degrees of freedom. Inhomogeneous vacuum energy is necessarily interacting in…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-14 David Wands , Josue De-Santiago , Yuting Wang

Many candidate models for dark energy are based on the existence of a classical scalar field. In the context of Quantum Field Theory (QFT), we briefly discus the condensation of such a field from a light quantum scalar field produced by…

High Energy Physics - Phenomenology · Physics 2011-12-19 Houri Ziaeepour

We consider a possibility that the formally infinite vacuum energy of the quantized matter fields could be stored into Planck-size quantum black holes acting as the fundamental constituents of space and time. Using the recently proposed…

General Physics · Physics 2014-02-10 Jarmo Mäkelä

We introduce a generalization of the usual vacuum energy, called `deformed vacuum energy', which yields anisotropic pressure whilst preserving zero inertial mass density. It couples to the shear scalar in a unique way, such that they…

General Relativity and Quantum Cosmology · Physics 2020-05-01 Ozgur Akarsu , Nihan Katirci , Anjan A. Sen , J. Alberto Vazquez

Euclidean quantum fields obtained as solutions of stochastic partial pseudo differential equations driven by a Poisson white noise have paths given by locally integrable functions. This makes it possible to define a class of ultra-violet…

Mathematical Physics · Physics 2010-01-15 S. Albeverio , H. Gottschalk , M. W. Yoshida

The imposition of boundary conditions upon a quantized field can lead to singular energy densities on the boundary. We treat the boundaries as quantum mechanical objects with a nonzero position uncertainty, and show that the singular energy…

Quantum Physics · Physics 2009-10-31 L. H. Ford , N. F. Svaiter

A QED-based bootstrap mechanism, appearing at sufficiently small space-time scales, is suggested as an explanation for the "dark" vacuum energy that may be able to accelerate the universe. Very small-scale vacuum currents are allowed to…

High Energy Physics - Theory · Physics 2011-04-11 H. M. Fried

A QED-based mechanism, breaking translational invariance of the vacuum at sufficiently small distance scales, is suggested as an explanation for the vacuum energy pressure that accelerates the universe. Very-small-scale virtual vacuum…

High Energy Physics - Theory · Physics 2007-05-23 H. M. Fried

The quantum mechanical many-body problem is rarely analytically solvable. One notable exception is the case of two electrons interacting via a Coulomb potential in a uniform magnetic field. The motion is confined to a two-dimensional plane,…

Mesoscale and Nanoscale Physics · Physics 2011-01-04 Tobias Kramer

The origin of accelerating expansion of the Universe is one the biggest conundrum of fundamental physics. In this paper we review vacuum energy issues as the origin of accelerating expansion - generally called dark energy - and give an…

General Relativity and Quantum Cosmology · Physics 2014-12-18 Houri Ziaeepour

In this paper the vacuum energy density and generation of topological mass are investigated for a system of a real and complex scalar fields interacting with each other. In addition to that, it is also included the quartic self-interaction…

High Energy Physics - Theory · Physics 2024-10-23 A. J. D. Farias Junior , A. Smirnov , Herondy F. Santana Mota , E. R. Bezerra de Mello

We investigate the vacuum energy density induced by quantum fluctuations of a bulk scalar field with general curvature coupling parameter on two codimension one parallel branes in a $(D+1)$-dimensional background spacetime…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Saharian

We study, through zeta-function techniques, the vacuum energies for Dirac fields in a constant magnetic background. We consider the combined effect of the background and twisted boundary conditions. The required charge renormalization is…

High Energy Physics - Theory · Physics 2007-05-23 D. H. Correa
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