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Over recent years, a lot of progress has been achieved in understanding of the relationship between localization and transport of energy in essentially nonlinear oscillatory systems. In this paper we are going to demonstrate that the…

可精确求解与可积系统 · 物理学 2016-11-23 O. V. Gendelman , T. P. Sapsis

We define, as local quantities, the least energy and momentum allowed by quantum mechanics and special relativity for physical realizations of some classical lattice dynamics. These definitions depend on local rates of finite-state change.…

元胞自动机与格子气 · 物理学 2017-06-07 Norman Margolus

A general definition of the model-space effective interaction is given. The energy-independent effective hamiltonians derived in a time-independent way are classified systematically.

核理论 · 物理学 2009-11-11 R. Okamoto , S. Fujii , K. Suzuki

Estimating the effective energy, $E_\text{eff}$ of a stationary probability distribution is a challenge for non-equilibrium steady states. Its solution could offer a novel framework for describing and analyzing non-equilibrium systems. In…

统计力学 · 物理学 2026-02-03 Antonin Brossollet , Etienne Lempereur , Stéphane Mallat , Giulio Biroli

The structure of the rate of variation of the atomic energy for an arbitrary stationary motion of the atom in interaction with a quantum electromagnetic field is investigated. Our main purpose is to rewrite the formalism in Ref. \cite{zz}…

量子物理 · 物理学 2016-12-14 Anwei Zhang

A general definition of a clock is proposed, and the role of clocks in establishing temporal pre-conditions in quantum mechanical questions is critically discussed. The different status of clocks as used by theorists external to a system…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Arlen Anderson

The operator of time formalism is applied to radioactive decay. It appears that the proposed approach offers better insight and understanding of the phenomena in a way that the decay exponential-law becomes the Boltzmann distribution in…

量子物理 · 物理学 2017-07-14 Slobodan Prvanovic

We first note that, at least in perturbation theory, there is a well-defined (subject to regularization) Lorentzian definition of the quantum effective action in both flat and curved space including (perturbative) gravity. The advantage of…

高能物理 - 理论 · 物理学 2025-11-18 S. P. de Alwis

The transient response of a stationary state of a quantum particle in a step potential to an instantaneous change in the step height (a simplified model for a sudden bias switch in an electronic semiconductor device) is solved exactly by…

量子物理 · 物理学 2009-11-07 F. Delgado , H. Cruz , J. G. Muga

We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation…

统计力学 · 物理学 2024-07-09 T. R. Kirkpatrick , D. Belitz

Conversations about weather, environment, health, cuisine, and even politics, all involve the word "temperature". It was an attempt to understand the working of heat engines that gave the temperature a clear definition. In this Note we put…

统计力学 · 物理学 2025-09-23 Miroslav Grmela

A classical linear oscillator is treated in the small amplitude limit so that it will be approximately relativistic. The oscillator involves a charge particle in a linear potential in classical zero-point radiation. It is found that the…

经典物理 · 物理学 2026-03-17 Timothy H. Boyer

I review the philosophical literature on the question of when two physical theories are equivalent. This includes a discussion of empirical equivalence, which is often taken to be necessary, and sometimes taken to be sufficient, for…

物理学史与哲学 · 物理学 2018-10-19 James Owen Weatherall

We define super-energy tensors for arbitrary physical fields, including the gravitational, electromagnetic and massless scalar fields. We also define super-super-energy tensors, and so on. All these tensors satisfy the so-called "Dominant…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J M M Senovilla

The concept of work is basic for statistical thermodynamics. To gain a fuller understanding of work and its (quantum) features, it needs to be represented as an average of a fluctuating quantity. Here I focus on the work done between two…

统计力学 · 物理学 2015-06-19 A. E. Allahverdyan

We consider a recent proposal [1] to redefine the kilogram in terms of natural constants. In our opinion, the main objective of the redefinition should be to build such a version of the SI system in which the electric measurements are…

经典物理 · 物理学 2007-05-23 Savely G. Karshenboim

In this work a system of non-linear elliptic equations is considered, where the non-linear term is the sum of a quadratic form and a Sobolev sub-critical term. An extra assumption is introduced on the sub-critical term, which is minimal…

偏微分方程分析 · 数学 2023-01-02 Daniele Garrisi

The intrinsic covariant 1-time description (rest-frame instant form) for N relativistic scalar particles is defined. The system of N charged scalar particles plus the electromagnetic field is described in this way: the study of its Dirac…

高能物理 - 理论 · 物理学 2014-11-18 Luca Lusanna

Current state-of-the-art frequency standards are passive optical atomic clocks where the frequency of an optical resonator is stabilized to a narrow atomic transition. Passive clocks have achieved unprecedented stabilities of 6.6 x 10--19…

原子物理 · 物理学 2024-12-16 Martina Matusko , Marion Delehaye

A new definition of continuous-time equilibrium controls is introduced. As opposed to the standard definition, which involves a derivative-type operation, the new definition parallels how a discrete-time equilibrium is defined, and allows…

最优化与控制 · 数学 2021-07-15 Yu-Jui Huang , Zhou Zhou