Tag: Ensembles

Quantum Reprogramming Ensembles and Single Systems A Two-Tier Approach to Quantum Mechanics


Free Download Quantum Reprogramming: Ensembles and Single Systems: A Two-Tier Approach to Quantum Mechanics By Evert Jan Post (auth.)
1995 | 322 Pages | ISBN: 9048145759 | PDF | 10 MB
Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-Thirties. This lingering dichotomy of purpose for a major physical discipline has much shrouded further insights into the foundations of quantum theory. Quantum Reprogramming resolves this long-standing dichotomy by examining the mutual relation between single systems and ensembles, assigning each its own tools for treating the subject at hand: i.e., Schrödinger-Dirac methods for ensembles versus period integrals for single systems. A unified treatment of integer and fractional quantum Hall effects and a finite description of the electron’s anomalies are mentioned as measures of justification for the chosen procedure of resolving an old-time dichotomy. The methods of presentation are, in part, elementary, with repetitive references needed to delineate differences with respect to standard methods. The parts on period integrals are developed with a perspective on elementary methods in physics, thus leading up to some standard results of de Rham theory and algebraic topology. Audience: Students of physics, mathematics, philosophers as well as outsiders with a general interest in the conceptual development of physics will find useful reading in these pages, which will stimulate further inquiry and study.

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Identification, Characterization, and Manipulation of Neuronal Ensembles


Free Download Identification, Characterization, and Manipulation of Neuronal Ensembles
English | 2025 | ISBN: 1071642073 | 282 Pages | PDF (True) | 34 MB
This volume looks at the latest advancements made in the study of neuronal ensembles and their role in brain processes. The chapters in this book cover topics such as approaches to implementing multisensory experiments including the basics of head fixation and analysis of laminar electrophysiology; dimensionality reduction algorithms and network analysis applications for neuronal population recordings; the use of graph theory to detect groups of neurons in optical recordings with high levels of coactivity; tagging and manipulation techniques using optogenetic and chemogenetic approaches to study memory engrams; and methods to characterize molecular signatures of neuronal ensembles using spatially defined transcriptomics. In the Neuromethods series style, chapters include the kind of detail and key advice from the specialists needed to get successful results in your laboratory.

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Core Data Synchronization with Ensembles


Free Download Core Data Synchronization with Ensembles
English | 2017 | ISBN: n/a | 96 Pages | PDF EPUB (True) | 6 MB
Cloud sync is a feature that every iOS app is expected to have, and yet is notoriously difficult to implement in a robust way. It usually demands a small team of iOS and web developers working together, not to mention the deep pockets needed to pay for cloud services and storage.

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Progress on the Study of the Ginibre Ensembles


Free Download Progress on the Study of the Ginibre Ensembles by Sung-Soo Byun , Peter J. Forrester
English | PDF EPUB (True) | 2024 | 226 Pages | ISBN : 9819751721 | 21.4 MB
This open access book focuses on the Ginibre ensembles that are non-Hermitian random matrices proposed by Ginibre in 1965. Since that time, they have enjoyed prominence within random matrix theory, featuring, for example, the first book on the subject written by Mehta in 1967. Their status has been consolidated and extended over the following years, as more applications have come to light, and the theory has developed to greater depths. This book sets about detailing much of this progress. Themes covered include eigenvalue PDFs and correlation functions, fluctuation formulas, sum rules and asymptotic behaviors, normal matrix models, and applications to quantum many-body problems and quantum chaos. There is a distinction between the Ginibre ensemble with complex entries (GinUE) and those with real or quaternion entries (GinOE and GinSE, respectively).

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Ensembles on Configuration Space Classical, Quantum, and Beyond


Free Download Ensembles on Configuration Space: Classical, Quantum, and Beyond by Michael J. W. Hall , Marcel Reginatto
English | PDF (True) | 2016 | 284 Pages | ISBN : 3319341642 | 3.3 MB
This book describes a promising approach to problems in the foundations of quantum mechanics, including the measurement problem. The dynamics of ensembles on configuration space is shown here to be a valuable tool for unifying the formalisms of classical and quantum mechanics, for deriving and extending the latter in various ways, and for addressing the quantum measurement problem. A description of physical systems by means of ensembles on configuration space can be introduced at a very fundamental level: the basic building blocks are a configuration space, probabilities, and Hamiltonian equations of motion for the probabilities. The formalism can describe both classical and quantum systems, and their thermodynamics, with the main difference being the choice of ensemble Hamiltonian. Furthermore, there is a natural way of introducing ensemble Hamiltonians that describe the evolution of hybrid systems; i.e., interacting systems that have distinct classical and quantum sectors, allowing for consistent descriptions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime.

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