Description
Quantum mechanics is our most successful physical theory. However, it raises conceptual issues that have perplexed physicists and philosophers of science for decades. This 2004 book develops an approach, based on the proposal that quantum theory is not a complete, final theory, but is in fact an emergent phenomenon arising from a deeper level of dynamics. The dynamics at this deeper level are taken to be an extension of classical dynamics to non-commuting matrix variables, with cyclic permutation inside a trace used as the basic calculational tool. With plausible assumptions, quantum theory is shown to emerge as the statistical thermodynamics of this underlying theory, with the canonical commutation/anticommutation relations derived from a generalized equipartition theorem. Brownian motion corrections to this thermodynamics are argued to lead to state vector reduction and to the probabilistic interpretation of quantum theory, making contact with phenomenological proposals for stochastic modifications to Schroedinger dynamics.
This 2004 book develops an approach to the conceptual foundations of quantum mechanics.
Reviews
"This is a bold book, a provocative text, that may help many readers to have a better understanding of the foundations of quantum theories." American Mathematical Society
"The book describes in detail a rich mathematical framework out of which a new physical description of nature can emerge. The chapters are well organized; the presentation is clear, rigorous, very attractive, and accessible to mathematical as well as theoretical physicists. It is recommended to everyone who wants to learn more about the fascinating field of the foundations of physics and the continuing efforts scientists are making to formulate a clear and coherent picture of physical phenomena." - Angelo Bassi, Universitat Munchen
Book Information
ISBN 9780521831949
Author Stephen L. Adler
Format Hardback
Page Count 238
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 580g
Dimensions(mm) 244mm * 170mm * 14mm
This 2004 book develops an approach to the conceptual foundations of quantum mechanics.
Reviews
"This is a bold book, a provocative text, that may help many readers to have a better understanding of the foundations of quantum theories." American Mathematical Society
"The book describes in detail a rich mathematical framework out of which a new physical description of nature can emerge. The chapters are well organized; the presentation is clear, rigorous, very attractive, and accessible to mathematical as well as theoretical physicists. It is recommended to everyone who wants to learn more about the fascinating field of the foundations of physics and the continuing efforts scientists are making to formulate a clear and coherent picture of physical phenomena." - Angelo Bassi, Universitat Munchen
Book Information
ISBN 9780521831949
Author Stephen L. Adler
Format Hardback
Page Count 238
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 580g
Dimensions(mm) 244mm * 170mm * 14mm
