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"The fifth edition of this well-established, highly regarded two-volume set continues to provide a fundamental introduction to advanced particle physics while incorporating substantial new experimental results, especially in the areas of Higgs and top sector physics, as well as CP violation and neutrino oscillations. It offers an accessible and practical introduction to the three gauge theories comprising the Standard Model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the Glashow-Salam-Weinberg (GSW) electroweak theory. Volume 1 of this updated edition provides a broad introduction to the first of these theories, QED. The book begins with self-contained presentations of relativistic quantum mechanics and electromagnetism as a gauge theory. Lorentz transformations, discrete symmetries, and Majorana fermions are covered. A unique feature is the elementary introduction to quantum field theory, leading in easy stages to covariant perturbation theory and Feynman graphs, thereby establishing a firm foundation for the formal and conceptual framework upon which the subsequent development of the three quantum gauge field theories of the Standard Model is based. Detailed tree-level calculations of physical processes in QED are presented, followed by an elementary treatment of one-loop renormalization of a model scalar field theory, and then by the realistic case of QED. The text includes updates on nucleon structure functions and the status of QED, in particular the precision tests provided by the anomalous magnetic moments of the electron and muon. The authors discuss the main conceptual points of the theory, detail many practical calculations of physical quantities from first principles, and compare these quantitative predictions with experimental results, helping readers improve both their calculation skills and physical insight. Each volume should serve as a valuable handbook for students and researchers in advanced particle physics looking for an introduction to the Standard Model of particle physics"--
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The importance and usefulness of subjects and topics involving integral transformations and operational calculus are becoming widely recognized, not only in the mathematical sciences but also in the physical, biological, engineering and statistical sciences. This book contains invited reviews and expository and original research articles dealing with and presenting state-of-the-art accounts of the recent advances in these important and potentially useful subjects.
Research & information: general --- Mathematics & science --- approximation operators --- differences of operators --- Szász–Mirakyan–Baskakov operators --- Durrmeyer type operators --- Bernstein polynomials --- modulus of continuity --- starlike functions --- subordination --- q-Differential operator --- k-Fibonacci numbers --- Lorentz invariant complex measures --- Minkowski space --- spectral decomposition --- measure convolution --- measure product --- Feynman propagator --- q-difference operator --- Janowski function --- meromorphic multivalent function --- distortion theorem --- partial sum --- closure theorem --- analytic functions --- multivalent (or p-valent) functions --- differential subordination --- q-derivative (or q-difference) operator --- Dunkel type integral inequality --- Schur-convexity --- majorization theory --- arithmetic mean-geometric mean (AM-GM) inequality --- Lerch function --- quadruple integral --- contour integral --- logarithmic function --- preinvex fuzzy mappings --- strongly preinvex fuzzy mappings --- strongly invex fuzzy mappings --- strongly fuzzy monotonicity --- strongly fuzzy mixed variational-like inequalities --- Fourier integral theorem --- double integral --- exponential function --- Catalan’s constant --- Aprey’s constant --- non-separable linear canonical wavelet --- symplectic matrix --- non-separable linear canonical transform --- uncertainty principle --- Fox–Wright function --- generalized hypergeometric function --- Mittag–Leffler function
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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.
non-locality --- ultraviolet divergence --- constraints --- Kilmister equation --- bohmian mechanics --- epistemic agent --- Bohmian mechanics --- relational space --- Feynman paths --- Langevin equation --- quantum causality --- emergent quantum gravity --- quantum ontology --- interpretations --- emergent quantum state --- undecidable dynamics --- molecule interference --- emergent quantum mechanics --- no-hidden-variables theorems --- mind–body problem --- physical ontology --- quantum foundations --- matter-wave optics --- conscious agent --- diffusion constant --- Bell theorem --- Burgers equation --- objective non-signaling constraint --- self-referential dynamics --- Bell inequality --- interpretation --- photochemistry --- Born rule statistics --- sub-quantum dynamics --- dynamical chaos --- weak measurement --- p-adic metric --- Levi-Civita connection --- David Bohm --- H-theorem --- the causal arrow of time --- strong coupling --- vortical dynamics --- fundamental irreversibility --- magnetic deflectometry --- quantum thermodynamics --- de Broglie–Bohm interpretation of quantum mechanics --- wavefunction nodes --- stochastic quantum dynamics --- entropic gravity --- metrology --- Schrödinger equation --- gauge freedom --- Monte Carlo simulations --- micro-constituents --- nonequilibrium thermodynamics --- Bell’s theorem --- emergent space-time --- spin --- quantum field theory --- time-symmetry --- Gaussian-like solutions --- Hamiltonian --- number theory --- fractional velocity --- ergodicity --- fractal geometry --- atomic metastable states --- operator thermodynamic functions --- Canonical Presentation --- Retrocausation --- interpretations of quantum mechanics --- Bohm theory --- quantum mechanics --- zero-point field --- conspiracy --- pilot wave --- quantum holism --- toy-models --- curvature tensor --- Aharonov–Bohm effect --- computational irreducibility --- Stochastic Electrodynamics --- diffraction --- retrocausality --- resonances in quantum systems --- stochastic differential equations --- Bianchi identity --- past of the photon --- commutator --- relational interpretation of quantum mechanics --- free will --- nomology --- trajectories --- primitive ontology --- Mach–Zehnder interferometer --- weak values --- singular limit --- interior-boundary condition --- Poincaré recurrence --- quantum inaccessibility --- symplectic camel --- surrealistic trajectories --- observables --- Stern-Gerlach --- decoherence --- quantum non-equilibrium --- generalized Lagrangian paths --- superdeterminism --- black hole thermodynamics --- nonlocality --- measurement problem --- entropy and time evolution --- bouncing oil droplets --- spontaneous state reduction --- quantum theory --- many interacting worlds --- complex entropy. --- Turing incomputability --- iterant --- space-time fluctuations --- quantum potential --- ontological quantum mechanics --- photon trajectory --- Dove prism --- the Friedrichs model --- contextuality --- discrete calculus --- transition probability amplitude --- gravity --- pilot-wave theory --- matter-waves --- de Broglie-Bohm theory --- covariant quantum gravity --- atom-surface scattering --- de Broglie–Bohm theory
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