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The process of identifying a time variable in time reparameterization invariant theories results in great ambiguities about the actual laws of physics described by a given theory. A theory set up to describe one set of physical laws can…

高能物理 - 理论 · 物理学 2010-04-08 Andreas Albrecht , Alberto Iglesias

In a recent paper a slightly modified version of the Bateman system, originally proposed to describe a damped harmonic oscillator, was proposed. This system is really different from the Bateman's one, in the sense that this latter cannot be…

数学物理 · 物理学 2025-06-30 Fabio Bagarello

An oldish question is resurrected concerning the significance of the ambiguous `b-type' terms encountered in calculations of the vacuum, Casimir energy on the Einstein Universe for conformally coupled scalar fields. Some remarks in the…

高能物理 - 理论 · 物理学 2024-03-07 J. S. Dowker

Metz et al PRL (83), 1542 (1999) have presented evidence for supersymmetry in atomic nuclei but their model Hamiltonian fails to distinguish between irreducible representations that occur with multiplicities greater than one. This failure…

核理论 · 物理学 2016-09-08 B G Wybourne

Modern experiments using nanoscale devices come ever closer to bridging the divide between the quantum and classical realms, bringing experimental tests of objective collapse theories that propose alterations to Schr\"{o}dinger's equation…

The suggestion that particles of the same kind may be indistinguishable in a fundamental sense, even so that challenges to traditional notions of individuality and identity may arise, has first come up in the context of classical…

量子物理 · 物理学 2015-06-19 Dennis Dieks

Comonotonicity (``same variation'') of random variables minimizes hedging possibilities and has been widely used, e.g., in Gilboa and Schmeidler's ambiguity models. This paper investigates anticomonotonicity (``opposite variation'';…

理论经济学 · 经济学 2024-12-04 Giulio Principi , Peter P. Wakker , Ruodu Wang

A theory of canonical basis for a two-parameter quantum algebra is developed in parallel with the one in one-parameter case. A geometric construction of the negative part of a two-parameter quantum algebra is given by using mixed perverse…

表示论 · 数学 2013-11-06 Zhaobing Fan , Yiqiang Li

This is a review of the issue of randomness in quantum mechanics, with special emphasis on its ambiguity; for example, randomness has different antipodal relationships to determinism, computability, and compressibility. Following a…

物理学史与哲学 · 物理学 2020-02-19 Klaas Landsman

We investigate the quantum properties of 1D quantum systems whose classical counterpart presents intermittency. The spectral correlations are expressed in terms of the eigenvalues of an anomalous diffusion operator by using recent…

无序系统与神经网络 · 物理学 2009-11-10 Antonio M. Garcia-Garcia

Doubts are raised concerning the usual interpretation of the alleged failure, by quantum mechanics, of the distributive law of classical logic. The difficulty raised by incompatible sets of observables is overcome within an epistemic…

量子物理 · 物理学 2015-04-27 Alfredo B. Henriques , Amílcar Sernadas

We investigate the structure common to causal theories that attempt to explain a (part of) the world. Causality implies conservation of identity, itself a far from simple notion. It imposes strong demands on the universalizing power of the…

物理学史与哲学 · 物理学 2023-04-11 Karin Verelst

The main goal of the paper is to study the origins of a contradiction between the Weinberg theorem B-A=\lambda and the `longitudinality' of an antisymmetric tensor field (and of a Weinberg field which is equivalent to it), transformed on…

高能物理 - 理论 · 物理学 2011-04-20 Valeri Dvoeglazov

Mixed quantum-classical spin systems have been proposed in spin chain theory and, more recently, in magnon spintronics. However, current models of quantum-classical dynamics beyond mean-field approximations typically suffer from…

量子物理 · 物理学 2023-03-10 François Gay-Balmaz , Cesare Tronci

We discuss a large class of non-relativistic continuum field theories where the Euclidean spatial symmetry of the classical theory is violated in the quantum theory by an Adler-Bell-Jackiw-like anomaly. In particular, the continuous…

强关联电子 · 物理学 2025-08-13 Nathan Seiberg

We extend the classical Bernstein inequality to a general setting including Schr{\"o}dinger operators and divergence form elliptic operators on Riemannian manifolds or domains. Moreover , we prove a new reverse inequality that can be seen…

偏微分方程分析 · 数学 2021-06-11 Rafik Imekraz , El Maati Ouhabaz

An apparent paradox in Einstein's Special Theory of Relativity, known as a Thomas precession rotation in atomic physics, has been verified experimentally in a number of ways. However, somewhat surprisingly, it has not yet been demonstrated…

广义相对论与量子宇宙学 · 物理学 2020-07-30 Christian P. H. Salas

The classical Landau-Lifshitz equation with damping term has been derived from the time evolution of a quantum mechanical wave function under the assumption of a non-hermitian Hamilton operator. Further, the trajectory of a classical spin…

介观与纳米尺度物理 · 物理学 2015-06-15 R. Wieser

We present a detailed analysis of the scattering of charged particles by the magnetic field of a long solenoid of constant magnetic flux and finite radius. We study the relativistic and non-relativistic quantum and classical scenarios. The…

量子物理 · 物理学 2007-05-23 Gabriela Murguia , Matias Moreno , Manuel Torres

Hartle and Srednicki have suggested that standard quantum theory does not favor our typicality. Here an alternative version is proposed in which typicality is likely, Eventual Quantum Mechanics. This version allows one to calculate…

高能物理 - 理论 · 物理学 2008-11-26 Don N. Page