EMERGENCE OF THE QUANTUM FROM THE CLASSICAL: MATHEMATICAL ASPECTS OF QUANTUM PROCESSES - Hardcover

Maurice De Gosson

Hardcover

ISBN 10: 1786344149 ISBN 13: 9781786344144

Publisher: World Scientific Publishing Europe Ltd, 2018

Synopsis

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.

Readership: Undergraduate and graduate students of mathematics and physics, interested in analysis and differential equations, probability and statistics, geometry and topology and mathematical physics.

Edition details

• Publisher: World Scientific Publishing Europe Ltd
• Publication date: 2018
• ISBN 10: 1786344149
• ISBN 13: 9781786344144
• Binding: Hardcover
• Language: English
• Number of pages: 308