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Harmonic Oscillators and Two-by‑two Matrices in Symmetry Problems in Physics

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ISBN: 9783038425007 9783038425014 Year: Pages: X, 360 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Mathematics
Added to DOAB on : 2017-10-02 11:58:37
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This book consists of the articles published in the special issues of this Symmetry journal based on two-by-two matrices and harmonic oscillators. The book also contains additional articles published by the guest editor in this Symmetry journal. They are of course based on harmonic oscillators and/or two-by-two matrices. The subject of symmetry is based on exactly soluble problems in physics, and the physical theory is not soluble unless it is based on oscillators and/or two-by-two matrices. The authors of those two special issues were aware of this environment when they submitted their articles. This book could therefore serve as an example to illustrate this important aspect of symmetry problems in physics.

Quantum Foundations. 90 Years of Uncertainty

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ISBN: 9783038977544 Year: Pages: 188 DOI: 10.3390/books978-3-03897-755-1 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General) --- Science (General)
Added to DOAB on : 2019-04-05 10:34:31
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The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties.

Quantum Information and Foundations

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ISBN: 9783039283804 9783039283811 Year: Pages: 508 DOI: 10.3390/books978-3-03928-381-1 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-04-07 23:07:09
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Quantum information has dramatically changed information science and technology, looking at the quantum nature of the information carrier as a resource for building new information protocols, designing radically new communication and computation algorithms, and ultra-sensitive measurements in metrology, with a wealth of applications. From a fundamental perspective, this new discipline has led us to regard quantum theory itself as a special theory of information, and has opened routes for exploring solutions to the tension with general relativity, based, for example, on the holographic principle, on non-causal variations of the theory, or else on the powerful algorithm of the quantum cellular automaton, which has revealed new routes for exploring quantum fields theory, both as a new microscopic mechanism on the fundamental side, and as a tool for efficient physical quantum simulations for practical purposes. In this golden age of foundations, an astonishing number of new ideas, frameworks, and results, spawned by the quantum information theory experience, have revolutionized the way we think about the subject, with a new research community emerging worldwide, including scientists from computer science and mathematics.

Keywords

reconstruction of quantum theory --- entanglement --- monogamy --- quantum non-locality --- conserved informational charges --- limited information --- complementarity --- characterization of unitary group and state spaces --- algebraic quantum theory --- C*-algebra --- gelfand duality --- classical context --- bohrification --- process theory --- classical limit --- purity --- higher-order interference --- generalised probabilistic theories --- Euclidean Jordan algebras --- Pauli exclusion principle --- quantum foundations --- X-ray spectroscopy --- underground experiment --- silicon drift detector --- measurement uncertainty relations --- relative entropy --- position --- momentum --- quantum mechanics --- the measurement problem --- collapse models --- X-rays --- quantum gravity --- discrete spacetime --- causal sets --- path summation --- entropic gravity --- physical computing models --- complexity classes --- causality --- blind source separation (BSS) --- qubit pair --- exchange coupling --- entangled pure state --- unentanglement criterion --- probabilities in quantum measurements --- independence of random quantum sources --- iterant --- Clifford algebra --- matrix algebra --- braid group --- Fermion --- Dirac equation --- quantum information --- quantum computation --- semiclassical physics --- quantum control --- quantum genetic algorithm --- sampling-based learning control (SLC) --- quantum foundations --- relativity --- quantum gravity --- cluster states --- multipartite entanglement --- percolation --- Shannon information --- quantum information --- quantum measurements --- consistent histories --- incompatible frameworks --- single framework rule --- probability theory --- entropy --- quantum relative entropy --- quantum information --- quantum mechanics --- inference --- quantum measurement --- quantum estimation --- macroscopic quantum measurement --- quantum annealing --- adiabatic quantum computing --- hard problems --- Hadamard matrix --- binary optimization --- reconstruction of quantum mechanics --- conjugate systems --- Jordan algebras --- quantum correlations --- Gaussian states --- Gaussian unitary operations --- continuous-variable systems --- Wigner-friend experiment --- no-go theorem --- quantum foundations --- interpretations of quantum mechanics --- subsystem --- agent --- conservation of information --- purification --- group representations --- commuting subalgebras --- quantum walks --- Hubbard model --- Thirring model --- quantum information --- quantum foundations --- quantum theory and gravity

Quantum Probability and Randomness

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ISBN: 9783038977148 9783038977155 Year: Pages: 276 DOI: 10.3390/books978-3-03897-715-5 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Physics (General)
Added to DOAB on : 2019-04-25 16:37:17
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The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics—in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.

Keywords

quantum logic --- groups --- partially defined algebras --- quasigroups --- viable cultures --- quantum information theory --- bit commitment --- protocol --- entropy --- entanglement --- orthogonality --- quantum computation --- Gram–Schmidt process --- quantum probability --- potentiality --- complementarity --- uncertainty relations --- Copenhagen interpretation --- indefiniteness --- indeterminism --- causation --- randomness --- quantum information --- quantum dynamics --- entanglement --- algebra --- causality --- geometry --- probability --- quantum information theory --- realism --- reality --- entropy --- correlations --- qubits --- probability representation --- Bayes’ formula --- quantum entanglement --- three-qubit random states --- entanglement classes --- entanglement polytope --- anisotropic invariants --- quantum random number --- vacuum state --- maximization of quantum conditional min-entropy --- quantum logics --- quantum probability --- holistic semantics --- epistemic operations --- Bell inequalities --- algorithmic complexity --- Borel normality --- Bayesian inference --- model selection --- random numbers --- quantum-like models --- operational approach --- information interpretation of quantum theory --- social laser --- social energy --- quantum information field --- social atom --- Bose–Einstein statistics --- bandwagon effect --- social thermodynamics --- resonator of social laser --- master equation for socio-information excitations --- quantum contextuality --- Kochen–Specker sets --- MMP hypergraphs --- Greechie diagrams --- quantum foundations --- probability --- irreducible randomness --- random number generators --- quantum technology --- entanglement --- quantum-like models for social stochasticity --- contextuality

High Precision X-Ray Measurements

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ISBN: 9783039213177 9783039213184 Year: Pages: 144 DOI: 10.3390/books978-3-03921-318-4 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Physics (General)
Added to DOAB on : 2019-12-09 16:10:12
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Since their discovery in 1895, the detection of X-rays has had a strong impact on and various applications in several fields of science and human life. Impressive efforts have been made to develop new types of detectors and new techniques, aiming to obtain higher precision both in terms of energy and position. Depending on the applications, solid state detectors, microcalorimeters, and various types of spectrometers currently serve as the best options for spectroscopic and imaging detectors. Recent advancements in micron and meV precision have opened the door for groundbreaking applications in fundamental physics, medical science, astrophysics, cultural heritage, and several other fields. The aim of this Special Issue is to compile an overview, from different communities and research fields, of the most recent developments in X-ray detection and their possible impacts in various sectors, such as in exotic atom measurements, quantum physics studies, XRF, XES, EXAFS, plasma emission spectroscopy, monochromators, synchrotron radiation, telescopes, and space engineering. All the papers included in this Special Issue contribute to emphasizing the importance of X-ray detection in a very broad range of physics topics; most of these topics are covered by the published works, and several others are mentioned in the paper references, providing an interesting and very useful synopsis, from a variety of different communities and research fields, of the most recent developments in X-ray detection and their impact in fundamental research and societal applications.

Offshore Wind Farms

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ISBN: 9783039285624 / 9783039285631 Year: Pages: 266 DOI: 10.3390/books978-3-03928-563-1 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2020-06-09 16:38:57
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The coastal zone is the host to many human activities, which have significantly increased in the last decades. However, sea level rise and more frequent storm events severely affect beaches and coastal structures, with negative consequences and dramatic impacts on coastal communities. These aspects add to typical coastal problems, like flooding and beach erosion, which already leading to large economic losses and human fatalities. Modeling is thus fundamental for an exhaustive understanding of the nearshore region in the present and future environment. Innovative tools and technologies may help to better understand coastal processes in terms of hydrodynamics, sediment transport, bed morphology, and their interaction with coastal structures. This book collects several contributions focusing on nearshore dynamics, and span among several time and spatial scales using both physical and numerical approaches. The aim is to describe the most recent advances in coastal dynamics.

Keywords

offshore wind --- tension leg platforms --- loads and response --- model testing --- support structures --- gravity-based structures --- GBS --- GBF --- floating offshore wind turbine (FOWT) --- mooring system --- coupled dynamic response --- broken mooring line --- safety factor --- renewable energies --- ocean energy --- offshore wind --- wave --- tidal --- marine currents --- ocean thermal --- Lebanon --- offshore wind energy --- wind power density --- aiRthermo --- air density --- ERA5 --- wind energy --- optimal selection factors --- onshore-offshore wind power plant --- offshore wind energy --- HVAC --- HVDC --- P2X --- hydrogen storage --- CAES --- offshore wind farm --- vacuum circuit breaker --- reignition characteristics --- switching overvoltage --- ice force --- design response spectrum --- crushing failure --- bending failure --- monopile --- horizontal vibration --- combined static and dynamic loads --- different loading directions --- frequency response functions --- scour phenomenon --- weight --- size --- nominal diameter --- armour --- monitoring --- offshore wind farm --- support structure --- monopile --- jacket --- GBS --- tripod --- floating --- offshore wind turbine --- trailing-edge flap --- load mitigation --- free vortex wake --- offshore wind farm --- marine energy --- foundations --- wind resource --- wind turbine generators --- electrical connection --- numerical models --- physical models --- development --- design and construction --- operation and maintenance

Contemporary Natural Philosophy and Philosophies - Part 1

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ISBN: 9783038978220 9783038978237 Year: Pages: 350 DOI: 10.3390/books978-3-03897-823-7 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Philosophy
Added to DOAB on : 2019-06-26 08:44:06
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Modern information communication technology eradicates barriers of geographic distances, making the world globally interdependent, but this spatial globalization has not eliminated cultural fragmentation. The Two Cultures of C.P. Snow (that of science–technology and that of humanities) are drifting apart even faster than before, and they themselves crumble into increasingly specialized domains. Disintegrated knowledge has become subservient to the competition in technological and economic race leading in the direction chosen not by the reason, intellect, and shared value-based judgement, but rather by the whims of autocratic leaders or fashion controlled by marketers for the purposes of political or economic dominance. If we want to restore the authority of our best available knowledge and democratic values in guiding humanity, first we have to reintegrate scattered domains of human knowledge and values and offer an evolving and diverse vision of common reality unified by sound methodology. This collection of articles responds to the call from the journal Philosophies to build a new, networked world of knowledge with domain specialists from different disciplines interacting and connecting with other knowledge-and-values-producing and knowledge-and-values-consuming communities in an inclusive, extended, contemporary natural–philosophic manner. In this process of synthesis, scientific and philosophical investigations enrich each other—with sciences informing philosophies about the best current knowledge of the world, both natural and human-made—while philosophies scrutinize the ontological, epistemological, and methodological foundations of sciences, providing scientists with questions and conceptual analyses. This is all directed at extending and deepening our existing comprehension of the world, including ourselves, both as humans and as societies, and humankind.

Keywords

n/a --- compositional hierarchy --- development --- dissipative structures --- final cause --- internalism --- Second Law of thermodynamics --- subsumptive hierarchy --- agonism --- apophasis --- autocatalysis --- centripetality --- contingency --- endogenous selection --- heterogeneity --- indeterminacy --- process --- mathematics --- physics --- philosophical foundations --- natural philosophy --- the logic of nature --- ontology --- epistemology --- in the name of nature --- philosophy of information --- natural philosophy --- metaphysics --- physics --- problem of induction --- physicalism --- theoretical unity --- philosophy of science --- scientific method --- scientific progress --- pessimistic induction --- awareness --- cognition --- computation --- cybernetics --- differentiation --- fitness --- holographic encoding --- memory --- perception --- quantum information --- signal transduction --- spatial representation --- thermodynamics --- unitarity --- Leibniz --- monad --- internal quantum state --- relational biology --- reflexive psychology --- self --- induction --- naturalism --- evidence and justification --- epistemic norms --- induction and concept formation --- induction and discovery of laws --- natural philosophy --- R.M. Unger --- L. Smolin --- Aristotle --- F.W.J. Schelling --- Naturphilosophie --- A.N. Whitehead --- Ivor Leclerc --- dialectics --- discourse --- discursive space --- information --- knowledge --- humanistic management --- language --- natural philosophy --- subjective experience --- process --- dual aspects --- consciousness --- information-theory --- theoretical biology --- 1st-person and 3rd-person perspectives --- hylomorphism --- mind --- form --- matter --- neurodynamics --- natural philosophy --- philosophy of science --- Jungian psychology --- depth psychology --- analytical psychology --- phenomenological psychology --- evolutionary psychology --- active imagination --- Aristotle’s four causes --- aesthetics in science --- philosophy as a way of life --- common good --- contradiction --- ethics --- information --- logic --- naturalization --- realism --- science --- synthesis --- natural philosophy --- philosophy of nature --- naturalism --- unity of knowledge --- qualitative ontology --- intentionality --- dispositions --- qualia --- abduction --- agent-based reasoning --- creativity --- eco-cognitive model --- eco-cognitive openness --- fallacies --- errors of reasoning --- third-way reasoning --- naturalization of logic --- causality --- embodiment --- measurement --- regulation --- retrocausality --- second-person description --- symmetry breaking --- temporality --- natural philosophy --- cosmology --- emptiness --- vacuum --- void --- dark energy --- space flight --- exoplanet --- big freeze --- big crunch --- everyday lifeworld --- digitization --- computability --- complexity --- reverse mathematics --- quantum computing --- real computing --- theory of everything --- acategoriality --- state-space approach --- mental representation --- dual-aspect monism --- exceptional experiences --- intentionality --- mind-matter relations --- category theory --- memory evolutive system --- emergence --- emergentist reductionism --- anticipation --- creativity --- info-computational model

Emergent Quantum Mechanics. David Bohm Centennial Perspectives

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ISBN: 9783038976165 Year: Pages: 544 DOI: 10.3390/books978-3-03897-617-2 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General) --- Science (General)
Added to DOAB on : 2019-04-05 10:34:31
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Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in ""deeper-level"" theories for quantum phenomena challenges the standard, textbook interpretation. The book presents expert views that critically evaluate the significance—for 21st century physics—of ontological quantum mechanics, an approach that David Bohm helped pioneer. The possibility of a deterministic quantum theory was first introduced with the original de Broglie-Bohm theory, which has also been developed as Bohmian mechanics. The wide range of perspectives that were contributed to this book on the occasion of David Bohm’s centennial celebration provide ample evidence for the physical consistency of ontological quantum mechanics. The book addresses deeper-level questions such as the following: Is reality intrinsically random or fundamentally interconnected? Is the universe local or nonlocal? Might a radically new conception of reality include a form of quantum causality or quantum ontology? What is the role of the experimenter agent? As the book demonstrates, the advancement of ‘quantum ontology’—as a scientific concept—marks a clear break with classical reality. The search for quantum reality entails unconventional causal structures and non-classical ontology, which can be fully consistent with the known record of quantum observations in the laboratory.

Keywords

quantum foundations --- nonlocality --- retrocausality --- Bell’s theorem --- Bohmian mechanics --- quantum theory --- surrealistic trajectories --- Bell inequality --- quantum mechanics --- generalized Lagrangian paths --- covariant quantum gravity --- emergent space-time --- Gaussian-like solutions --- entropy and time evolution --- resonances in quantum systems --- the Friedrichs model --- complex entropy. --- Bell’s theorem --- the causal arrow of time --- retrocausality --- superdeterminism --- toy-models --- quantum ontology --- sub-quantum dynamics --- micro-constituents --- emergent space-time --- emergent quantum gravity --- entropic gravity --- black hole thermodynamics --- Stern-Gerlach --- trajectories --- spin --- Bell theorem --- fractal geometry --- p-adic metric --- singular limit --- gravity --- conspiracy --- free will --- number theory --- quantum potential --- Feynman paths --- weak values --- Bohm theory --- no-hidden-variables theorems --- observables --- measurement problem --- Bohmian mechanics --- primitive ontology --- Retrocausation --- weak values --- Stochastic Electrodynamics --- quantum mechanics --- decoherence --- interpretations --- pilot-wave theory --- Bohmian mechanics --- Born rule statistics --- measurement problem --- quantum thermodynamics --- strong coupling --- operator thermodynamic functions --- quantum theory --- de Broglie–Bohm theory --- contextuality --- atom-surface scattering --- bohmian mechanics --- matter-wave optics --- diffraction --- vortical dynamics --- Schrödinger equation --- de Broglie–Bohm theory --- nonequilibrium thermodynamics --- zero-point field --- de Broglie–Bohm interpretation of quantum mechanics --- pilot wave --- interior-boundary condition --- ultraviolet divergence --- quantum field theory --- Aharonov–Bohm effect --- physical ontology --- nomology --- interpretation --- gauge freedom --- Canonical Presentation --- relational space --- relational interpretation of quantum mechanics --- measurement problem --- non-locality --- discrete calculus --- iterant --- commutator --- diffusion constant --- Levi-Civita connection --- curvature tensor --- constraints --- Kilmister equation --- Bianchi identity --- stochastic differential equations --- Monte Carlo simulations --- Burgers equation --- Langevin equation --- fractional velocity --- interpretations of quantum mechanics --- David Bohm --- mind–body problem --- quantum holism --- fundamental irreversibility --- space-time fluctuations --- spontaneous state reduction --- Poincaré recurrence --- symplectic camel --- quantum mechanics --- Hamiltonian --- molecule interference --- matter-waves --- metrology --- magnetic deflectometry --- photochemistry --- past of the photon --- Mach–Zehnder interferometer --- Dove prism --- photon trajectory --- weak measurement --- transition probability amplitude --- atomic metastable states --- Bell’s theorem --- Bohmian mechanics --- nonlocality --- many interacting worlds --- wavefunction nodes --- bouncing oil droplets --- stochastic quantum dynamics --- de Broglie–Bohm theory --- quantum non-equilibrium --- H-theorem --- ergodicity --- ontological quantum mechanics --- objective non-signaling constraint --- quantum inaccessibility --- epistemic agent --- emergent quantum state --- self-referential dynamics --- dynamical chaos --- computational irreducibility --- undecidable dynamics --- Turing incomputability --- quantum ontology --- nonlocality --- time-symmetry --- retrocausality --- quantum causality --- conscious agent --- emergent quantum mechanics --- Bohmian mechanics --- de Broglie-Bohm theory

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