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The key questions of uniqueness and existence in time-dependent density functional theory are usually formulated only for potentials and densities that are analytic in time. Simple examples, standard in quantum mechanics, lead however to…

材料科学 · 物理学 2015-05-14 Neepa T. Maitra , Tchavdar N. Todorov , Chris Woodward , Kieron Burke

We introduce specific solutions to the linear harmonic oscillator, named bubbles. They form resonant families of invariant tori of the linear dynamics, with arbitrarily large Sobolev norms. We use these modulated bubbles of energy to…

偏微分方程分析 · 数学 2020-06-16 Erwan Faou , Pierre Raphael

The influence of charging effects on time-dependent transport in small semiconductor quantum dots with arbitrary level spectra is studied. Starting from an explicit time-dependent tunneling Hamiltonian, a non-Markovian Master equation is…

凝聚态物理 · 物理学 2009-10-22 C. Bruder , H. Schoeller

We study nonlocal bright solitons subject to external spatially nonuniform potentials. If the potential is slowly varying on the soliton scale, we derive analytical soliton solutions behaving like Newtonian particles. If the potential has…

斑图形成与孤子 · 物理学 2024-07-09 G. N. Koutsokostas , I. Moseley , T. P. Horikis , D. J. Frantzeskakis

The framework of locally covariant quantum field theory is discussed, motivated in part using "ignorance principles". It is shown how theories can be represented by suitable functors, so that physical equivalence of theories may be…

广义相对论与量子宇宙学 · 物理学 2016-08-29 Christopher J. Fewster

This series of two papers is devoted to the study of the principal spectral theory of nonlocal dispersal operators with almost periodic dependence and the study of the asymptotic dynamics of nonlinear nonlocal dispersal equations with…

偏微分方程分析 · 数学 2021-07-13 Maria Amarakristi Onyido , Wenxian Shen

We investigate effects of nonlocality in time of the interaction of an atom with its surroundings on the spectral line broadening. We show that these effects can be very significant: In some cases nonlocality in time of this interaction can…

量子物理 · 物理学 2009-11-07 Renat Kh. Gainutdinov , Aigul A. Mutygullina , Werner Scheid

A practical strategy is presented and successfully implemented to determine form factors in the time-like but unphysical (below threshold) region using dispersion relations, in a model independent way without any bias towards expected…

高能物理 - 唯象学 · 物理学 2014-11-17 R. Baldini , E. Pasqualucci , S. Dubnička , P. Gauzzi , S. Pacetti , Y. Srivastava

An expression for the dimensionless dissipation rate was derived from the Karman-Howarth equation by asymptotic expansion of the second- and third- order structure functions in powers of the inverse Reynolds number. The implications of the…

流体动力学 · 物理学 2018-08-15 W. D. McComb , R. B. Fairhurst

We analyze the calculation of bound states for a nonrelativistic spin-half neutral particle under the influence of a Coulomb-like potential induced by Lorentz symmetry breaking effects. We show that the truncation condition proposed by the…

量子物理 · 物理学 2020-09-29 Francisco M. Fernández

Massless and massive scalar fields and massless spinor fields are considered at arbitrary temperatures in four dimensional ultrastatic curved spacetime. Scalar models under consideration can be either conformal or nonconformal and include…

高能物理 - 理论 · 物理学 2016-08-25 Yu. V. Gusev , A. I Zelnikov

Quantum non-local correlations and the acausal, spooky action at a distance suggest a discord between quantum theory and special relativity. We propose a resolution for this discord by first observing that there is a problem of time in…

广义相对论与量子宇宙学 · 物理学 2016-11-15 Shreya Banerjee , Sayantani Bera , T. P. Singh

The spontaneous emission rate of dipole emitters close to plasmonic dimers are theoretically studied within a nonlocal hydrodynamic model. A nonlocal model has to be used since quantum emitters in the immediate environment of a metallic…

We argue that an arbitrarily chosen time-dependent current density is generically non-Vrepresentable in a many-particle system, i.e., it cannot be obtained by applying only a time dependent scalar potential to the system. Furthermore we…

介观与纳米尺度物理 · 物理学 2009-11-11 Roberto D'Agosta , Giovanni Vignale

We consider a multiverse scenario made up of classically disconnected regions of the space-time that are, nevertheless, in a quantum entangled state. The addition of a scalar field enriches the model and allows us to treat both the…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Iñaki Garay , Salvador Robles-Pérez

Nonlocal nonlinear Schrodinger model is quantised and exactly solved using the canonical framework. It is found that the usual canonical quantisation of the model leads to a theory with pathological inner product. This problem is resolved…

量子物理 · 物理学 2015-11-16 Vivek M. Vyas , Zodinmawia

Within the framework of the thermal wave model, an investigation is made of the longitudinal dynamics of high energy charged particle beams. The model includes the self-consistent interaction between the beam and its surroundings in terms…

高能物理 - 唯象学 · 物理学 2009-11-10 Pontus Johannisson , Dan Anderson , Mietek Lisak , Mattias Marklund , Renato Fedele , Arkadi Kim

Cooling methods and particle slowers as well as accelerators are basic tools for fundamental research and applications in different fields and systems. We put forward a generic mechanism to scale the momentum of a particle, regardless of…

量子物理 · 物理学 2020-11-04 J. G. Muga , S. Martínez-Garaot , M. Pons , M. Palmero , A. Tobalina

Einstein field equations show how matter curve spacetime, but, does curved spacetime creates matter? And if so, can we have geometrical foundations to every matter in the universe? In this note, we suggest an approach to derive non-general…

广义相对论与量子宇宙学 · 物理学 2019-05-24 Tomer Shushi

We develop a formalism to investigate the behavior of quantum field and quantum ground state when the field is coupled to perturbation that periodically oscillates. Working in the Schroedinger picture of quantum field theory, we confirm…

高能物理 - 理论 · 物理学 2009-10-28 M. Yoshimura