Nonlinear Photonics in Midinfrared Quantum Cascade Lasers

Quantum Information Concepts in Open Quantum Systems  eBooks & eLearning

Posted by AvaxGenius at Aug. 3, 2023
Quantum Information Concepts in Open Quantum Systems

Quantum Information Concepts in Open Quantum Systems by Bassano Vacchini, Andrea Smirne and Nina Megier
English | PDF | 2023 | 174 Pages | ISBN : 3036564977 | 3.6 MB

This issue contains contributions in different cutting edge topics within the field of open quantum systems. The theoretical work presented is focused, in particular, on quantum thermodynamics and quantum non-Markovianity and provides a window into current research in these fields. Different perspectives are considered that share a common root in the exploitation of open quantum systems and quantum information tools.

Deterministic Chaos in Infinite Quantum Systems  eBooks & eLearning

Posted by AvaxGenius at Aug. 3, 2023
Deterministic Chaos in Infinite Quantum Systems

Deterministic Chaos in Infinite Quantum Systems by Fabio Benatti
English | PDF | 1993 | 229 Pages | ISBN : 3540570179 | 30.4 MB

The purpose of this volume is to give a detailed account of a series of re­ sults concerning some ergodic questions of quantum mechanics which have the past six years following the formulation of a generalized been addressed in Kolmogorov-Sinai entropy by A.Connes, H.Narnhofer and W.Thirring. Classical ergodicity and mixing are fully developed topics of mathematical physics dealing with the lowest levels in a hierarchy of increasingly random behaviours with the so-called Bernoulli systems at its apex showing a structure that characterizes them as Kolmogorov (K-) systems. It seems not only reasonable, but also inevitable to use classical ergodic theory as a guide in the study of ergodic behaviours of quantum systems. The question is which kind of random behaviours quantum systems can exhibit and whether there is any way of classifying them. Asymptotic statistical independence and, correspondingly, complete lack of control over the distant future are typical features of classical K-systems. These properties are fully characterized by the dynamical entropy of Kolmogorov and Sinai, so that the introduction of a similar concept for quantum systems has provided the opportunity of raising meaningful questions and of proposing some non-trivial answers to them. Since in the following we shall be mainly concerned with infinite quantum systems, the algebraic approach to quantum theory will provide us with the necessary analytical tools which can be used in the commutative context, too.

On the Emergence of Time and Space in Closed Quantum Systems (Springer Theses)  eBooks & eLearning

Posted by Free butterfly at Nov. 7, 2024
On the Emergence of Time and Space in Closed Quantum Systems (Springer Theses)

On the Emergence of Time and Space in Closed Quantum Systems (Springer Theses) by Tommaso Favalli
English | February 10, 2024 | ISBN: 3031523512 | 184 pages | MOBI | 26 Mb

On the Emergence of Time and Space in Closed Quantum Systems  eBooks & eLearning

Posted by hill0 at Feb. 10, 2024
On the Emergence of Time and Space in Closed Quantum Systems

On the Emergence of Time and Space in Closed Quantum Systems
English | 2024 | ISBN: 3031523512 | 299 Pages | PDF EPUB (True) | 13 MB
Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory

Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory
by Fabio Silva Botelho

English | 2021 | ISBN: 9780367746452, 036774645X | 335 pages | True PDF | 21.31 MB

The first part of this book reviews some key topics on multi-variable advanced calculus. The approach presented includes detailed and rigorous studies on surfaces in Rn which comprises items such as differential forms and an abstract version of the Stokes Theorem in Rn. The conclusion section introduces readers to Riemannian geometry, which is used in the subsequent chapters.

Zero Distance: Management in the Quantum Age  eBooks & eLearning

Posted by hill0 at Dec. 11, 2021
Zero Distance: Management in the Quantum Age

Zero Distance: Management in the Quantum Age
English | 2022 | ISBN: 9811678480 | 301 Pages | PDF EPUB | 4 MB

Some Nonlinear Problems in Riemannian Geometry  eBooks & eLearning

Posted by AvaxGenius at March 22, 2023
Some Nonlinear Problems in Riemannian Geometry

Some Nonlinear Problems in Riemannian Geometry by Thierry Aubin
English | PDF (True) | 1998 | 414 Pages | ISBN : 3540607528 | 33.23 MB

During the last few years, the field of nonlinear problems has undergone great development. This book consisting of the updated Grundlehren volume 252 by the author and of a newly written part, deals with some important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved. Each problem is explained, up-to-date results are given and proofs are presented. Thus, the reader is given access, for each specific problem, to its present status of solution as well as to the most up-to-date methods for approaching it. The main objective of the book is to explain some methods and new techniques, and to apply them. It deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber.
Strong Fermion Interactions in Fractional Quantum Hall States: Correlation Functions (Repost)

Strong Fermion Interactions in Fractional Quantum Hall States: Correlation Functions by Shashikant Mulay
English | PDF,EPUB | 2018 | 164 Pages | ISBN : 3030004937 | 18.5 MB

This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms.

New Frontiers in Cryptography: Quantum, Blockchain, Lightweight, Chaotic and DNA  eBooks & eLearning

Posted by AvaxGenius at Oct. 16, 2020
New Frontiers in Cryptography: Quantum, Blockchain, Lightweight, Chaotic and DNA

New Frontiers in Cryptography: Quantum, Blockchain, Lightweight, Chaotic and DNA by Khaled Salah Mohamed
English | PDF,EPUB | 2020 | 110 Pages | ISBN : 3030589951 | 20 MB

This book provides comprehensive coverage of various Cryptography topics, while highlighting the most recent trends such as quantum, blockchain, lightweight, Chaotic and DNA cryptography. Moreover, this book covers cryptography primitives and its usage and applications and focuses on the fundamental principles of modern cryptography such as Stream Ciphers, block ciphers, public key algorithms and digital signatures.

Nonlinear Optimization in Finite Dimensions  eBooks & eLearning

Posted by AvaxGenius at Feb. 15, 2025
Nonlinear Optimization in Finite Dimensions

Nonlinear Optimization in Finite Dimensions: Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects by Hubertus Th. Jongen , Peter Jonker , Frank Twilt
English | PDF (True) | 2000 | 516 Pages | ISBN : 0792365615 | 39.3 MB

At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level sets of functions as the level varies. Roughly speaking, the topology of lower level sets only may change when passing a level which corresponds to a stationary point (or Karush-Kuhn­ Tucker point). We study elements of Morse Theory, both in the unconstrained and constrained case. Special attention is paid to the degree of differentiabil­ ity of the functions under consideration. The reader will become motivated to discuss the possible shapes and forms of functions that may possibly arise within a given problem framework. In a separate chapter we show how certain ideas may be carried over to nonsmooth items, such as problems of Chebyshev approximation type. We made this choice in order to show that a good under­ standing of regular smooth problems may lead to a straightforward treatment of "just" continuous problems by means of suitable perturbation techniques, taking a priori nonsmoothness into account. Moreover, we make a focal point analysis in order to emphasize the difference between inner product norms and, for example, the maximum norm. Then, specific tools from algebraic topol­ ogy, in particular homology theory, are treated in some detail. However, this development is carried out only as far as it is needed to understand the relation between critical points of a function on a manifold with structured boundary. Then, we pay attention to three important subjects in nonlinear optimization.