Emergence of the Quantum from the Classical: Mathematical Aspects of Quantum Processes (Hardcover) (ISBN-13: 9781786344144)

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.

Author: Maurice A. De Gosson
ISBN-10: 1786344149
ISBN-13: 9781786344144
Publisher: World Scientific Publishing Europe Ltd
Language: English
Published: 01/05/2018
Pages: 308
Format: Hardcover
Weight: 1.27lbs
Size: 9.00h x 6.00w x 0.75d