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Informational entropy is often identified as physical entropy. This is surprising because the two quantities are differently defined and furthermore the former is a subjective quantity while the latter is an objective one. We describe the…

量子物理 · 物理学 2014-05-01 Won-Young Hwang

We present a theory of compatible differential constraints of a hydrodynamic hierarchy of infinite-dimensional systems. It provides a convenient point of view for studying and formulating integrability properties and it reveals some hidden…

可精确求解与可积系统 · 物理学 2016-08-24 L. Martínez Alonso , A. B. Shabat

Ecosystems are commonly conceptualized as networks of interacting species. However, partitioning natural diversity of organisms into discrete units is notoriously problematic, and mounting experimental evidence raises the intriguing…

种群与进化 · 定量生物学 2017-09-22 Mikhail Tikhonov

A thought experiment is discussed to clarify the concept of decoherence. Superposition of states consisting of ground state of a single hydrogen atom and its excited state after a huge amount of time is discussed to show that the…

量子物理 · 物理学 2012-09-04 Shunichi Muto

Entropy is a very useful concept from physics that tries to explain how a system behaves from a point of view of the thermodynamics. However, there are two ways to explain entropy, and it depends on if we are studying a microsystem or a…

综合金融 · 定量金融 2024-07-02 Martin Pomares Calero

We introduce and discuss the concept of modular entanglement. This is the entanglement that is established between the end points of modular systems composed by sets of interacting moduli of arbitrarily fixed size. We show that end-to-end…

量子物理 · 物理学 2011-02-02 Giulia Gualdi , Salvatore M. Giampaolo , Fabrizio Illuminati

In the paper we investigate the theory of quantum optical systems. As an application we integrate and describe the quantum optical systems which are generically related to the classical orthogonal polynomials. The family of coherent states…

数学物理 · 物理学 2014-11-03 Maciej Horowski , Anatol Odzijewicz , Agnieszka Tereszkiewicz

The possibility of a quantum system to exhibit properties that are akin to both the classically held notions of being a particle and a wave, is one of the most intriguing aspects of the quantum description of nature. These aspects have been…

量子物理 · 物理学 2025-01-23 Sreetama Das , Indranil Chakrabarty , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen

We examine bipartite and multipartite correlations within the construct of unitary orbits. We show that the set of product states is a very small subset of set of all possible states, while all unitary orbits contain classically correlated…

量子物理 · 物理学 2015-02-11 Kavan Modi , Mile Gu

This paper discusses experiments with single-particle systems, some of whose states appear to be entangled. It shows that the interpretation of the experiments in terms of entanglement is ill-defined. Three forms of ambiguity are discussed.…

物理学史与哲学 · 物理学 2019-12-25 Robert Shaw

This paper aims to show that a simple framework, utilizing basic formalisms from set theory and category theory, can clarify and inform our theories of the relation between mind and matter.

人工智能 · 计算机科学 2024-10-15 Ryan Williams

For more than 150 years the structure of the periodic system of the chemical elements has intensively motivated research in different areas of chemistry and physics. However, there is still no unified picture of what a periodic system is.…

离散数学 · 计算机科学 2019-05-16 Wilmer Leal , Guillermo Restrepo

A system of $N$ interacting objects with internal degrees of freedom is considered. Derivation of system of equations for the description of two interacting objects with spin is given. Relations between the parameters describing subsystems…

经典物理 · 物理学 2013-05-08 Alexander N. Tarakanov

The possibility of consistency between the basic quantum principles of quantum mechanics and wave function collapse is reexamined. A specific interpretation of environment is proposed for this aim and applied to decoherence. When the…

量子物理 · 物理学 2015-05-28 Roland Omnès

Beings, animate or inanimate, are dynamical systems which continuously interact with the (external and /or internal) environment through the physical or physiologic interfaces of their Kantian (representational) realities. And the nature of…

神经元与认知 · 定量生物学 2019-09-03 Jahan N. Schad

Different structures of master-equation used for the description of decoherence of a microsystem interacting through collisions with a surrounding environment are considered and compared. These results are connected to the general…

量子物理 · 物理学 2007-05-23 Bassano Vacchini

The role of implicit assumptions in current decoherence theory is pointed out and clarified.

量子物理 · 物理学 2007-05-23 Italo Vecchi

We present a formulation of the decoherent (or consistent) histories quantum theory of closed systems starting with records of what histories happen. Alternative routes to a formulation of quantum theory like this one can be useful both for…

量子物理 · 物理学 2016-08-16 James B. Hartle

The so-called classical limit of quantum mechanics is generally studied in terms of the decoherence of the state operator that characterizes a system. This is not the only possible approach to decoherence. In previous works we have…

量子物理 · 物理学 2015-05-18 Sebastian Fortin , Leonardo Vanni

This article presents the basis of a theory of entanglement. We begin with a classical theory of entangled discrete measures in Section~1. Section~2 treats quantum mechanics and discusses the statistics of bounded operators on a Hilbert…

量子物理 · 物理学 2022-09-01 Stanley Gudder