scholarly journals Resource theory of contextuality

2019 ◽  
Vol 377 (2157) ◽  
pp. 20190010
Author(s):  
Barbara Amaral
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Point Of View ◽  
Resource Theory ◽  
Quantum Property ◽  
Theme Issue ◽  
Formal Treatment ◽  
Recent Developments ◽  
Potential Resource

In addition to the important role of contextuality in foundations of quantum theory, this intrinsically quantum property has been identified as a potential resource for quantum advantage in different tasks. It is thus of fundamental importance to study contextuality from the point of view of resource theories, which provide a powerful framework for the formal treatment of a property as an operational resource. In this contribution, we review recent developments towards a resource theory of contextuality and connections with operational applications of this property. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond’.

SUSY coherent states and enhanced canonical quantizations for Pauli model

2021 ◽  
pp. 2150105
Author(s):  
Jean Vignon Hounguevou ◽  
Daniel Sabi Takou ◽  
Gabriel Y. H. Avossevou
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Coherent States ◽  
Differential Operators ◽  
Canonical Quantization ◽  
Point Of View ◽  
Supersymmetric Quantum Mechanics ◽  
Geometric Properties

In this paper, we study coherent states for a quantum Pauli model through supersymmetric quantum mechanics (SUSYQM) method. From the point of view of canonical quantization, the construction of these coherent states is based on the very important differential operators in SUSYQM call factorization operators. The connection between classical and quantum theory is given by using the geometric properties of these states.

Subsequent and Subsidiary? Rethinking the Role of Applications in Establishing Quantum Mechanics

2015 ◽  
Vol 45 (5) ◽  
pp. 641-702 ◽  
Author(s):  
Jeremiah James ◽  
Christian Joas
Keyword(s):  
Molecular Structure ◽  
Quantum Mechanics ◽  
Quantum Theory ◽  
Classical Mechanics ◽  
Theory Construction ◽  
Science Pedagogy ◽  
Old Quantum Theory ◽  
The Common ◽  
Complete Quantum

As part of an attempt to establish a new understanding of the earliest applications of quantum mechanics and their importance to the overall development of quantum theory, this paper reexamines the role of research on molecular structure in the transition from the so-called old quantum theory to quantum mechanics and in the two years immediately following this shift (1926–1928). We argue on two bases against the common tendency to marginalize the contribution of these researches. First, because these applications addressed issues of longstanding interest to physicists, which they hoped, if not expected, a complete quantum theory to address, and for which they had already developed methods under the old quantum theory that would remain valid under the new mechanics. Second, because generating these applications was one of, if not the, principal means by which physicists clarified the unity, generality, and physical meaning of quantum mechanics, thereby reworking the theory into its now commonly recognized form, as well as developing an understanding of the kinds of predictions it generated and the ways in which these differed from those of the earlier classical mechanics. More broadly, we hope with this article to provide a new viewpoint on the importance of problem solving to scientific research and theory construction, one that might complement recent work on its role in science pedagogy.

scholarly journals Notes on the theory of radiation

1932 ◽  
Vol 136 (829) ◽  
pp. 36-52 ◽  
Keyword(s):  
Quantum Theory ◽  
Point Of View ◽  
Mathematical Treatment ◽  
Wave System ◽  
Main Principle ◽  
Wave Mechanics ◽  
Recent Developments ◽  
The Subject ◽  
To Come ◽  
Train Of Thought

It will probably be agreed that among all the recent developments of the quantum theory, one of the least satisfactory is the theory of radiation. The present paper is intended as a preliminary to a new line of attack on the subject. It was begun some time ago, but owing to lack of success in carrying it to a conclusion, its publication has been much delayed. In the meantime other papers have appeared, which in some respects follow the same train of thought. The authors of these works have carried their methods further in some directions than I have attempted, but there is still perhaps room for the discussion of a number of questions from the rather different point of view adopted here. 1. The main principle of the present work is the idea that, since matter and light both possess the dual characters of particle and wave, a similar mathematical treatment ought to be applied to both, and that this has not yet bee done as fully as should be possible. Whereas we have a fairly complete calculus for dealing with the behaviour of any number of electrons or atoms, for photons the existing processes are much less satisfactory. The central difficulty, which makes it hard to apply the ordinary methods of wave mechanics to light, is the fact that (at least according to our present ideas) photons can be created and annihilated, and to represent this in a wave system we have to be able to think of a medium suddenly coming into existence and then going out again, when the light that it was carrying is absorbed. Such behaviour is a grave difficulty in the way of allowing us to think of the photon as a wave, and tends to make us think with more favour of its particle aspect, until we recall that after all it is quite unlike any known particle to come into existence and later to disappear without trace. The theories at present current, such as that of Heisenberg and Pauli, avoid these difficulties because they are mainly formal generalisations of the classical theory; this frees them from the above difficulties, but they pay for it in being highly abstract, and, as it has turned out, rather unsuccessful.

scholarly journals Quantum mechanics, gravity and modified quantization relations

2015 ◽  
Vol 373 (2047) ◽  
pp. 20140244 ◽  
Author(s):  
Xavier Calmet
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Scale Dependence ◽  
Energy Scale ◽  
Point Of View ◽  
Planck’S Constant ◽  
Phenomenological Point ◽  
Quantization Rules

In this paper, we investigate a possible energy scale dependence of the quantization rules and, in particular, from a phenomenological point of view, an energy scale dependence of an effective (reduced Planck’s constant). We set a bound on the deviation of the value of at the muon scale from its usual value using measurements of the anomalous magnetic moment of the muon. Assuming that inflation has taken place, we can conclude that nature is described by a quantum theory at least up to an energy scale of about 10 16  GeV.

Patient Advocacy and the Policy Making Process

2020 ◽  
pp. 24-44
Keyword(s):  
Public Management ◽  
Policy Making ◽  
Patient Advocacy ◽  
Point Of View ◽  
Background Information ◽  
Feedback Analysis ◽  
The Public ◽  
Patient Organizations ◽  
Recent Developments

Recent developments in the policy-making literature and practice have highlighted the growing role of patient advocacy, that is, the participation of patients in policy making through the presence of their representatives at institutional working tables. This chapter has a twofold aim: (1) to frame the activity of patient organizations' advocacy into the public management and administration theory and (2) to describe how patients' organizations can participate to the public policy making from an operational point of view. The chapter starts by providing background information about patient advocacy. Then it introduces the core literature streams of public management and administration. Finally, a feedback analysis shows possible policy cycles linking patient-aided steps of interactive policy making.

Spooky predictions at a distance: reality, complementarity and contextuality in quantum theory

2019 ◽  
Vol 377 (2157) ◽  
pp. 20190089 ◽  
Author(s):  
Arkady Plotnitsky
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Theme Issue ◽  
Interpretations Of Quantum Mechanics

This article brings together reality, complementarity and contextuality in quantum theory. It clarifies Bohr's concept of complementarity by considering the non-realist epistemology and the corresponding interpretations of quantum mechanics, based in the concept of ‘reality without realism’. Finally, as its main novel contribution, it establishes the connections between complementarity and contextuality. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond’.

Bericht: On the Logic of Quantum Mechanics

1973 ◽  
Vol 28 (9) ◽  
pp. 1516-1530
Author(s):  
E. G. Beltrametti ◽  
G. Cassinelli
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Lattice Theory ◽  
Essential Role ◽  
Superposition Principle ◽  
Mathematical Language

We are concerned with the formulation of the essential features of quantum theory in an abstract way, utilizing the mathematical language of proposition lattice theory. We review this approach giving a set of consistent axioms which enables to achieve the relevant results: the formulation and the essential role of the superposition principle is particularly examined.

scholarly journals THE PROBLEM OF REALITY IN THE TEXTS OF NIELS BOHR

2019 ◽  
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Point Of View ◽  
Niels Bohr ◽  
Stationary States ◽  
Physical Processes ◽  
Specific Behavior ◽  
Physical Experiments ◽  
Interpretation Of Quantum Theory ◽  
Philosophical Questions

The article discusses a new understanding of the reality in the 20th century. Since the key figure in these changes was the Danish physicist Niels Bohr, we refer to his early and later articles to analyze the use of the term “reality”. Through an analysis of the terms, it is shown that Bohr describes discoveries in earlier articles that are inconsistent with old concepts in physics, and it is these questions that will further lead him to a new understanding of reality. In the article we also indicate how many times and in what contexts the term “reality” is used. Further, we find that the term “reality” is more common in later articles than in his earlier works (Copenhagen’s interpretation of quantum theory had not yet been formulated at the time of writing the early works). Through the analyzing of usage of certain terms, we show how the emphasis in the early and late Bohr’s articles shifts. For many years, the Danish physicist has sought to clarify quantum theory. In some later articles, we note that the problems affect not only physical, but also other areas of knowledge. We also analyze the use of the term in later articles. This analysis shows how Niels Bohr’s discoveries in the nature of the objects of the micro-world lead him to questions about the nature of reality. How discoveries in the microcosm affect the new conception of reality is best traced in controversy with other physicists. As the most striking example, we took the article “Discussion with Einstein on epistemological problems in atomic physics”. In this article, Bohr describes the specific behavior of micro-objects, features of physical experiments and proves the idea that a fundamentally new (including ontological plan) understanding of physical processes is needed. An analysis of the terms shows that, from Bohr’s point of view, reality itself is as described by its quantum mechanics. We strive to show the evolution of Bohr’s views in the context of how they influenced the revision of all physics. We conclude that the discovery of stationary states in an atom is the first step to rethinking philosophical questions of a nature of reality.

Popper and the Quantum Theory

1995 ◽  
Vol 39 ◽  
pp. 163-176
Author(s):  
Michael Redhead
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Quantum Logic ◽  
Scientific Discovery ◽  
Von Neumann ◽  
Interpretation Of Probability ◽  
Propensity Interpretation

Popper wrote extensively on the quantum theory. In Logic der Forschung (LSD) he devoted a whole chapter to the topic, while the whole of Volume 3 of the Postscript to the Logic of Scientific Discovery is devoted to the quantum theory. This volume entitled Quantum Theory and the Schism in Physics (QTSP) incorporated a famous earlier essay, ‘Quantum Mechanics without “the Observer”’ (QM). In addition Popper's development of the propensity interpretation of probability was much influenced by his views on the role of probability in quantum theory, and he also wrote an insightful critique of the 1936 paper of Birkhoff and von Neumann on nondistributive quantum logic (BNIQM).

scholarly journals Time Operator, Real Tunneling Time in Strong Field Interaction and the Attoclock

2020 ◽  
Vol 2 (2) ◽  
pp. 233-252
Author(s):  
Ossama Kullie
Keyword(s):  
Quantum Mechanics ◽  
Strong Field ◽  
Point Of View ◽  
Time Operator ◽  
Tunneling Time ◽  
Fundamental Interest ◽  
Dynamical Time ◽  
Aharonov Bohm ◽  
Time In Quantum Mechanics

Attosecond science, beyond its importance from application point of view, is of a fundamental interest in physics. The measurement of tunneling time in attosecond experiments offers a fruitful opportunity to understand the role of time in quantum mechanics. In the present work, we show that our real T-time relation derived in earlier works can be derived from an observable or a time operator, which obeys an ordinary commutation relation. Moreover, we show that our real T-time can also be constructed, inter alia, from the well-known Aharonov–Bohm time operator. This shows that the specific form of the time operator is not decisive, and dynamical time operators relate identically to the intrinsic time of the system. It contrasts the famous Pauli theorem, and confirms the fact that time is an observable, i.e., the existence of time operator and that the time is not a parameter in quantum mechanics. Furthermore, we discuss the relations with different types of tunneling times, such as Eisenbud–Wigner time, dwell time, and the statistically or probabilistic defined tunneling time. We conclude with the hotly debated interpretation of the attoclock measurement and the advantage of the real T-time picture versus the imaginary one.

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