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Quantum Concepts in the Social, Ecological and Biological Sciences最新文献

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Quantum Game of Life and Its (H, ρ)-Induced Dynamics 生命的量子博弈及其(H, ρ)诱导动力学
Pub Date : 2019-05-30 DOI: 10.1017/9781108684781.009
F. Bagarello
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引用次数: 0
Index 指数
Pub Date : 2019-05-30 DOI: 10.1017/9781108684781.015
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引用次数: 0
A Simple Model of Information in Stock Markets 股票市场信息的简单模型
Pub Date : 2019-05-30 DOI: 10.1017/9781108684781.011
F. Bagarello
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引用次数: 0
Compatible and Incompatible Questions 兼容和不兼容的问题
Pub Date : 2019-05-30 DOI: 10.1017/9781108684781.013
F. Bagarello
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引用次数: 0
Escape Strategies 逃避策略
Pub Date : 2019-05-30 DOI: 10.1017/9781108684781.006
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引用次数: 0
Some Preliminaries 一些预赛
Pub Date : 2019-05-30 DOI: 10.1017/9781108684781.003
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引用次数: 1
Why a Quantum Tool in Classical Contexts? (Part II) 为什么是经典背景下的量子工具?(第二部分)
Pub Date : 2019-05-30 DOI: 10.1017/9781108684781.002
F. Bagarello
The reader may wonder where Part I is. In fact, there is no Part I here. Part I is in [1]. When I wrote that book I felt strongly the responsibility to justify my approach, since it was, in fact, rather unusual, and the reaction of most referees, when submitting a research paper of mine, was quite often the same: “Why are you adopting this technique? What is wrong with a classical approach?” However, since 2012, I realized that this approach was not so crazy, and I discovered that many people, in many different fields of research, were adopting similar strategies, using quantum ideas and, in particular, mathematical tools deeply connected with quantum mechanics, to deal with problems that are not necessarily related to the microscopic world. For this reason I do not really feel anymore the necessity of justifying myself. However, I think that giving some words of explanation can still be useful for readers, and this is what the next few sentences are about. The driving idea behind my approach is that the lowering and raising operators related to the canonical (anti-)commutation relations (CCR or CAR) can be used in the description of processes where some relevant quantities change discontinuously. To cite a few examples, stock markets, migration processes or some biological systems: multiples of share are exchanged, in a market; one, two or more people (and not just half of a person) move from one place to another; and one cell duplicates producing two cells. This suggests that objects labeled by natural numbers are important, in some situations. People with a background in quantum mechanics know that nonnegative integers can be seen as eigenvalues of some suitable number operator constructed, in a natural way, using ladder operators. Also, ladder operators can be efficiently used to describe systems where discrete quantities of some kind are exchanged between different agents. Hence ladder operators, and some combinations of them, can be used in the description of particular systems. We refer to [1] for some results and models in this direction. But, due to the fact that the observables of a system S are now operators, one of the main questions to be answered is the following: How should we assign a time evolution
读者可能想知道第一部分在哪里。事实上,这里没有第一部分。第一部分见[1]。当我写那本书的时候,我强烈地感到有责任为我的方法辩护,因为它实际上是相当不寻常的,而且大多数审稿人在提交我的研究论文时的反应往往是一样的:“你为什么要采用这种方法?”古典方法有什么问题?”然而,从2012年开始,我意识到这种方法并没有那么疯狂,我发现很多人,在许多不同的研究领域,都在采用类似的策略,使用量子思想,特别是与量子力学密切相关的数学工具,来处理不一定与微观世界相关的问题。因此,我真的不再觉得有必要为自己辩护了。然而,我认为给出一些解释的话对读者来说仍然是有用的,这就是下面几句话的内容。我的方法背后的驱动思想是,与规范(反)对易关系(CCR或CAR)相关的降低和提升算子可以用于描述一些相关量不连续变化的过程。举几个例子,股票市场,移民过程或一些生物系统:在市场中,股票的倍数是交换的;一个、两个或更多的人(而不仅仅是一半人)从一个地方搬到另一个地方;一个细胞复制产生两个细胞。这表明,在某些情况下,用自然数标记的对象很重要。有量子力学背景的人都知道,非负整数可以被看作是一些合适的数字算子的特征值,以一种自然的方式,用阶梯算子构造。此外,梯子操作符可以有效地用于描述在不同代理之间交换某种离散数量的系统。因此,梯子操作符和它们的一些组合可用于描述特定系统。我们参考[1]得到了这方面的一些结果和模型。但是,由于系统S的可观测对象现在是算符,需要回答的主要问题之一是:我们应该如何分配时间演化
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引用次数: 0
Decision-Making Driven by the Environment 环境驱动的决策
Pub Date : 2019-05-30 DOI: 10.1017/9781108684781.012
F. Bagarello
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引用次数: 0
More on Biological Systems 更多关于生物系统
Pub Date : 2019-05-30 DOI: 10.1017/9781108684781.008
F. Bagarello
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引用次数: 0
Prehistoric Data Mining 史前数据挖掘
Pub Date : 2019-05-30 DOI: 10.1017/9781108684781.010
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引用次数: 0
期刊
Quantum Concepts in the Social, Ecological and Biological Sciences
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