Titlebook: Understanding Computation; Pillars, Paradigms, Arnold L. Rosenberg,Lenwood S. Heath Textbook 2022 The Editor(s) (if applicable) and The Au

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present the research on the “quantum isometry group”, highlighting the interaction of noncommutative geometry and quantum groups, which is a noncommutative generalization of the notion of group of isometry of a classical Riemannian manifold. The motivation for this generalization is the importance o

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Arnold L. Rosenberg,Lenwood S. Heathasis for ultrashort laser pulse spectroscopy in semiconducto.Nanoscale miniaturization and femtosecond laser-pulse spectroscopy require a quantum mechanical description of the carrier kinetics that goes beyond the conventional Boltzmann theory. On these extremely short length and time scales, the el

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Arnold L. Rosenberg,Lenwood S. Heathquantum measurement theory.Includes a detailed guide to expeThis thesis reports on experiments in which the motion of a mechanical oscillator is measured with unprecedented precision. The position fluctuations of the oscillator—a glass nanostring—are measured with an imprecision that is sufficient t

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Arnold L. Rosenberg,Lenwood S. Heathrmalism of quantum mechnics but it is not the only and not even the most “natural” one. We shall see in Chapter 6 that the so-called “algebraic” quantum mechanics is equally important. The Hilbert space formalism has a long history that goes back to the twenties and it was worked out rigorously by v

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Arnold L. Rosenberg,Lenwood S. Heathn used extensively in order to investigate many types of lattice quantum spin system at zero temperature. The ground-and excited-state properties of these systems may now be determined routinely to great accuracy. In this Chapter we present an overview of the CCM formalism and we describe how the CC

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Arnold L. Rosenberg,Lenwood S. Heathservation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role...The first part of the book elucidates the influence of measurement backaction from an

aspect

el) to show possible phase transitions is generally elusive, beyond perturbative arguments, even after decades of mathematical studies. By contrast, such a question can be solved for mean-field models. This is done by using some form of the Bogoliubov approximation, leading to the thermodynamic game