Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes


Download Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.

Download

Emergence Of The Quantum From The Classical: Mathematical Aspects Of Quantum Processes


Emergence Of The Quantum From The Classical: Mathematical Aspects Of Quantum Processes

Author: Maurice A De Gosson

language: en

Publisher: World Scientific

Release Date: 2017-11-10


DOWNLOAD





The emergence of quantum mechanics from classical world mechanics is now a well-established theme in mathematical physics. This book demonstrates that quantum mechanics can indeed be viewed as a refinement of Hamiltonian mechanics, and builds on the work of George Mackey in relation to their mathematical foundations. Additionally when looking at the differences with classical mechanics, quantum mechanics crucially depends on the value of Planck's constant h. Recent cosmological observations tend to indicate that not only the fine structure constant α but also h might have varied in both time and space since the Big Bang. We explore the mathematical and physical consequences of a variation of h; surprisingly we see that a decrease of h leads to transitions from the quantum to the classical.Emergence of the Quantum from the Classical provides help to undergraduate and graduate students of mathematics, physics and quantum theory looking to advance into research in the field.

Emergence of the Quantum from the Classical


Emergence of the Quantum from the Classical

Author: Maurice A. De Gosson

language: en

Publisher:

Release Date: 2017


DOWNLOAD





Quantum Harmonic Analysis


Quantum Harmonic Analysis

Author: Maurice A. de Gosson

language: en

Publisher: Walter de Gruyter GmbH & Co KG

Release Date: 2021-07-05


DOWNLOAD





Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential role in the modern formulation of quantum mechanics. This allows us at the same time to suggest some new ideas and methods, with a special focus on topics such as the Wigner phase space formalism and its applications to the theory of the density operator and its entanglement properties. This book can be used with profit by advanced undergraduate students in mathematics and physics, as well as by confirmed researchers.