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

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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