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We apply Brunetti and Fredenhagen's [Phys. Rev. A 66 (2002) 044101] concept of the time of occurrence of an event in quantum mechanics to the example of scattering off a spherical potential. Thereby, we re-derive the expression of…

量子物理 · 物理学 2023-07-24 Jochen Zahn

The recent transition from decelerated to accelerated expansion can be seen as a reflection (or "bounce") in the connection variable, defined by the inverse comoving Hubble length ($b=\dot a$, on-shell). We study the quantum cosmology of…

广义相对论与量子宇宙学 · 物理学 2022-10-06 Bruno Alexandre , Joao Magueijo

The conventional discussion of apparent distortions of space and time in Special Relativity (the Lorentz-Fitzgerald Contraction and Time Dilatation) is extended by considering observations of : (i) moving objects of limited lifetime in…

科普物理 · 物理学 2009-10-01 J. H. Field

This work considers the way that quantum loop effects modify the propagation of light in curved space. The calculation of the refractive index for scalar QED is reviewed and then extended for the first time to QED with spinor particles in…

高能物理 - 理论 · 物理学 2011-11-11 Timothy J. Hollowood , Graham M. Shore , Ross J. Stanley

The forward BFKL equation is discretised in virtuality space and it is shown that the diffusion into infrared and ultraviolet momenta can be understood in terms of a semi-infinite matrix. The square truncation of this matrix can be…

高能物理 - 理论 · 物理学 2020-06-23 N. Bethencourt de León , G. Chachamis , A. Romagnoni , A. Sabio Vera

Inferring cosmological parameters from time-delay strong lenses requires a significant investment of telescope time; it is therefore tempting to focus on the systems with the brightest sources, the highest image multiplicities and the…

宇宙学与河外天体物理 · 物理学 2016-09-07 Thomas E. Collett , Steven D. Cunnington

A general formalism is developed that allows the construction of field theory on quantum spaces which are deformations of ordinary spacetime. The symmetry group of spacetime is replaced by a quantum group. This formalism is demonstrated for…

高能物理 - 理论 · 物理学 2009-11-10 Marija Dimitrijevic , Larisa Jonke , Lutz Moeller , Efrossini Tsouchnika , Julius Wess , Michael Wohlgenannt

Geometrical optics provides an excellent description for quasar images crossing caustics which are formed by gravitational microlensing of objects like Q2237+0305. Within this approximation the source size can be estimated from the maximum…

天体物理学 · 物理学 2016-08-30 M. Jaroszynski , B. Paczynski

The gauge invariant quark Green's function with a path-ordered phase factor along a straight-line is studied in two-dimensional QCD in the large-Nc limit by means of an exact integrodifferential equation. Its spectral functions are…

高能物理 - 唯象学 · 物理学 2010-07-26 H. Sazdjian

We examine the behavior of the retarded Green's function in theories with Lifshitz scaling symmetry, both through dual gravitational models and a direct field theory approach. In contrast with the case of a relativistic CFT, where the…

高能物理 - 理论 · 物理学 2016-02-08 Cynthia Keeler , Gino Knodel , James T. Liu , Kai Sun

This article is devoted to deduce the expression of the Green's function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions. In this case, due to the points where some of the fractional…

经典分析与常微分方程 · 数学 2022-12-20 Alberto Cabada , Nikolay D. Dimitrov , Jagan Mohan Jonnalagadda

To set up a self-consistent quantum field theory of degenerate systems, the unperturbed state should be described by a density matrix instead of a pure state. This increases the combinatorial complexity of the many-body equations. Hopf…

高能物理 - 理论 · 物理学 2007-05-23 Christian Brouder

Significant absorption of radiation is usually accompanied by refraction. This is not the case for $\gamma$ rays travelling cosmic distances. We show that the real and imaginary parts of the refraction index are indeed commensurable, as…

高能天体物理现象 · 物理学 2023-08-11 Daniel Beltrán Martínez , Felipe J. Llanes-Estrada , Gloria Tejedor-García

We study the quantum slit diffraction problem in three dimensions. In the treatment of diffraction of particles by a slit, it is usually assumed that the motion perpendicular to the slit is classical. Here we take into account the effect of…

量子物理 · 物理学 2015-10-30 Mathieu Beau , T. C. Dorlas

Using a particular Hilbert space representation of minimum-length deformed quantum mechanics, we show that the resolution of the wave-function singularities for strongly attractive potentials, as well as cosmological singularity in the…

高能物理 - 理论 · 物理学 2014-02-19 Michael Maziashvili , Luka Megrelidze

The pointwise space-time behavior of the Green's function of the three-dimensional relativistic Boltzmann equation is studied in this paper. It is shown that the Green's function has a decomposition of the macroscopic diffusive waves and…

偏微分方程分析 · 数学 2024-05-13 Yanchao Li , Mingying Zhong

We investigate linear matter density perturbations in models of structure formation with causal seeds. Under the fluid approximation, we obtain the analytic solutions using Green-function technique. Some incorrect solutions in the…

天体物理学 · 物理学 2007-05-23 Jiun-Huei Proty Wu

Recently, the degenerate gamma functions are introduced as a degenerate version of the usual gamma function by Kim-Kim. In this paper, we investigate several properties of them. Namely, we obtain an analytic continuation as a meromorphic…

数论 · 数学 2020-03-03 Taekyun Kim , Dae san Kim

A spin (dependent) system treatment of gravity is adopted akin to the Sen-Ashtekar treatment. Time is reinserted into the space ``fluid'' at the quantum Level. This time - the Lorentzian one- is shown to be a vorticity of a ``fluid…

综合物理 · 物理学 2011-03-07 Koustubh Kabe

We study analytically the time evolution in decaying chaotic systems and discuss in detail the hierarchy of characteristic time scales that appeared in the quasiclassical region. There exist two quantum time scales: the Heisenberg time t_H…

介观与纳米尺度物理 · 物理学 2009-10-30 Dmitry V. Savin , Valentin V. Sokolov