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Stochastic mechanics is a description of quantum phenomena in classical probabilistic terms. This work contains a detailed account of the kinematics of diffusion processes, including diffusions on curved manifolds which are necessary for the treatment of spin in stochastic mechanics. The dynamical equations of the theory are derived from a variational principle, and interference, the asymptotics of free motion, bound states, statistics, and spin are described in classical terms. In addition to developing the formal mathematical aspects of the theory, the book contains discussion of possible physical causes of quantum fluctuations in terms of an interaction with a background field. The author gives a critical analysis of stochastic mechanics as a candidate for a realistic theory of physical processes, discussing measurement, local causality in the sense of Bell, and the failure of the theory in its present form to satisfy locality.
Diffusion processes. --- Quantum field theory. --- Stochastic processes. --- Markov processes --- Random processes --- Probabilities --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Bopp-Haag equation. --- Compton wavelength. --- Dankel equation. --- Feynman-Kac formula. --- Fourier transform. --- Gaussian slit. --- Guerra. --- Kappler. --- Kochen. --- Loffredo. --- Morato. --- Ornstein-Uhlenbeck theory. --- Pauli equation. --- Yasue. --- acceleration. --- background field hypothesis. --- conditioned process. --- dissipative dynamics. --- electromagnetism. --- harmonic oscillator. --- hidden variables. --- imaginary time. --- investment strategy. --- locality theorem. --- moment of inertia. --- neighboring point. --- nodes. --- osmotic equation. --- relaxation time. --- scattering theory.
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The United Kingdom has a proud history of liquid crystal research. Its contributions span from the formulation of the theory of nematic elasticity as it is used today, uncovered via the Leslie–Erickson theory describing the viscosity of mesophases, to the discovery of the first room-temperature nematic and the related developments in the display industry, to name just several pioneering contributions. Today, liquid crystal science in the UK is more diverse and multidisciplinary than ever, ranging from the synthesis of increasingly complex mesogenic molecules, via the physical properties of self-organised systems and composites of both the thermotropic and the lyotropic type, to a wide variety of applications outside of the traditional display sector. The field covers aspects of chemistry, physics, material sciences, chemical engineering, mathematics, biology and device engineering in an overarching effort to advance the fundamental understanding of these soft-matter materials and to promote their technological exploitation in the UK and worldwide. To this end, a large group of individuals and research groups from universities and industry in the UK are working together on a Special Issue to advance the development of this field. The achievements of these scholars can be found in publications in top-class journals and presentations at all large international conferences, in the development of new products, and in events for public engagement.
Technology: general issues --- History of engineering & technology --- Materials science --- liquid crystal --- soliton --- toron --- skyrmion --- nematic --- cholesteric --- smectic --- micro-cargo transport --- dissipative dynamics --- twist-bend phase --- liquid crystals --- molecular simulation --- molecular dynamics --- dissipative particle dynamics --- ferroelectric materials --- smectic liquid crystals --- electrocaloric effect --- ferroelectric --- birefringence --- dielectrics --- chirality --- polymer --- cholesterol --- block copolymer --- self-assembly --- polymerisation-induced self-assembly --- Hartshorne --- Bouligand --- optical textures --- developable domains --- columnar hexagonal phases --- liquid crystal dimers --- intercalated --- interdigitated --- twist-bend nematic --- twist-bend smectic --- resonant soft X-ray scattering --- topological defects --- nematic liquid crystals --- gratings --- defect dynamics --- bistability --- LCD --- ZBD --- direct laser writing --- diffraction gratings --- stretchability --- n/a
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