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Book
Superposition and interaction : coherence in physics
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ISBN: 0226738418 Year: 1980 Publisher: Chicago (Ill.): University of Chicago press

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Book
Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting
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ISBN: 1000019300 3866445423 Year: 2010 Publisher: KIT Scientific Publishing

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In this work we explore the Floquet theory for evolution equations of the form u'(t)+A_t u(t)=0 (t real) where the operators A_t periodically depend on t and the function u takes values in a UMD Banach space X.We impose a suitable condition on the operator family (A_t) and their common domain, in particular a decay condition for certain resolvents, to obtain the central result that all exponentially bounded solutions can be described as a superposition of a fixed family of Floquet solutions.

Quantum superposition : counterintuitive consequences of coherence, entanglement, and interference
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ISSN: 16123018 ISBN: 9783540718840 9783540718833 3540718834 3540718842 Year: 2008 Publisher: Berlin: Springer,

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Coherence, entanglement, and interference arise from quantum superposition, the most distinctive and puzzling feature of quantum physics. Silverman, whose extensive experimental and theoretical work has helped elucidate these processes, presents a clear and engaging discussion of the role of quantum superposition in diverse quantum phenomena such as the wavelike nature of particle propagation, indistinguishability of identical particles, nonlocal interactions of correlated particles, topological effects of magnetic fields, and chiral asymmetry in nature. He also examines how macroscopic quantum coherence may be able to extricate physics from its most challenging quandary, the collapse of a massive degenerate star to a singularity in space in which the laws of physics break down. Explained by a physicist with a concern for clarity and experimental achievability, the extraordinary nature of quantum superposition will fascinate the reader not only for its apparent strangeness, but also for its comprehensibility.

Quantum Superposition : Counterintuitive Consequences of Coherence, Entanglement, and Interference
Author:
ISSN: 16123018 ISBN: 1281179361 9786611179366 3540718842 3540718834 3642090974 Year: 2008 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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Abstract

Coherence, entanglement, and interference arise from quantum superposition, the most distinctive and puzzling feature of quantum physics. Silverman, whose extensive experimental and theoretical work has helped elucidate these processes, presents a clear and engaging discussion of the role of quantum superposition in diverse quantum phenomena such as the wavelike nature of particle propagation, indistinguishability of identical particles, nonlocal interactions of correlated particles, topological effects of magnetic fields, and chiral asymmetry in nature. He also examines how macroscopic quantum coherence may be able to extricate physics from its most challenging quandary, the collapse of a massive degenerate star to a singularity in space in which the laws of physics break down. Explained by a physicist with a concern for clarity and experimental achievability, the extraordinary nature of quantum superposition will fascinate the reader not only for its apparent strangeness, but also for its comprehensibility.


Book
Selected Topics in Gravity, Field Theory and Quantum Mechanics
Authors: ---
ISBN: 303655906X 3036559051 Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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Quantum field theory has achieved some extraordinary successes over the past sixty years; however, it retains a set of challenging problems. It is not yet able to describe gravity in a mathematically consistent manner. CP violation remains unexplained. Grand unified theories have been eliminated by experiment, and a viable unification model has yet to replace them. Even the highly successful quantum chromodynamics, despite significant computational achievements, struggles to provide theoretical insight into the low-energy regime of quark physics, where the nature and structure of hadrons are determined. The only proposal for resolving the fine-tuning problem, low-energy supersymmetry, has been eliminated by results from the LHC. Since mathematics is the true and proper language for quantitative physical models, we expect new mathematical constructions to provide insight into physical phenomena and fresh approaches for building physical theories.

Keywords

Research & information: general --- Physics --- semiheaps --- ternary algebras --- para-associativity --- quantum mechanics --- gravity --- Clairaut equation --- Cho–Duan–Ge decomposition --- constraintless formalism --- canonical gravity --- covariance --- black holes --- quantum foundations --- non-axiomaticity --- detector clicks --- ensembles --- superposition principle --- arithmetic --- numbers --- vector space --- abstracting --- interpretations --- self-referentiality --- direct product --- direct power --- polyadic semigroup --- arity --- polyadic ring --- polyadic field --- Maxwell’s vacuum equations --- Hamilton–Jacobi equation --- Klein–Gordon–Fock equation --- algebra of symmetry operators --- separation of variables --- linear partial differential equations --- Einstein field equation --- recursion operator --- Noether symmetry --- master symmetry --- conformable differential --- Poisson manifold --- diffeomorphism group --- current algebra symmetry --- current Lie algebra representation --- fock space --- generating functional --- distribution functions --- Lie–Poisson structure --- coherent states --- Lie-Poisson action --- Hilbert space linearization --- hamiltonian systems --- symmetry reduction --- integrability --- idiabatic states --- factorization --- heavenly type dynamical systems --- integrable dynamical systems --- dirac reduction --- hydrodynamic flows --- entropy --- vortex flows --- asymptotic conditions --- Kirchhoff’s integral theorem --- quantum gravity and the problem of the Big Bang --- hidden Hermitian formulations of quantum mechanics --- stationary Wheeler-DeWitt system --- physical Hilbert space metric --- non-stationary Wheeler-DeWitt system --- n/a --- Cho-Duan-Ge decomposition --- Maxwell's vacuum equations --- Hamilton-Jacobi equation --- Klein-Gordon-Fock equation --- Lie-Poisson structure --- Kirchhoff's integral theorem

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