Born-Jordan Quantization | Buch

Cover: 9783319279008 | Born-Jordan Quantization | Theory and Applications | Gosson | Buch

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Sprache: Englisch

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Beschreibung

This book presents a comprehensive mathematical study of the operators behind the Born¿Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born¿Jordan scheme is used. Thus, Born¿Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book we develop Born¿Jordan quantization from an operator-theoretical point of view, and analyze in depth the conceptual differences between the two schemes. We discuss various physically motivated approaches, in particular the Feynman-integral point of view. One important and intriguing feature of Born-Jordan quantization is that it is not one-to-one: there are infinitely many classical observables whose quantization is zero.

Über den Autor

Maurice de Gosson is a research professor at the Univer-sity of Vienna. He has held various visiting positions at prestigious Universities(Yale, Boulder, Tel Aviv).

Zusammenfassung

Demonstrates the superiority of the Born-Jordan scheme as the only consistent approach to quantization

Written by a highly respected expert in quantum theory

Provides in depth analysis of both mathematical and conceptual aspects

Includes supplementary material: [...]

Inhaltsverzeichnis

Born-Jordan Quantization: Physical Motivation: On the Quantization Problem.- Quantization of Monomials.- Basic Hamiltonian Mechanics.- Wave Mechanics and the Schrödinger Equation.- Mathematical Aspects of Born-Jordan Quantization: The Weyl Correspondence.- The Cohen Class.- Born-Jordan Quantization.- Shubin's Pseudo-Differential Calculus.- Born-Jordan Pseudo-Differential Operators.- Weak Values and the Reconstruction Problem.- Some Advanced Topics: Metaplectic Operators.- Symplectic Covariance Properties.- Symbol Classes and Function Spaces.

Details

Erscheinungsjahr:	2016
Fachbereich:	Theoretische Physik
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Fundamental Theories of Physics
Inhalt:	xiii 226 S.
ISBN-13:	9783319279008
ISBN-10:	3319279009
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	De Gosson, Maurice A.
Auflage:	1st ed. 2016
Hersteller:	Springer International Publishing Springer International Publishing AG Fundamental Theories of Physics
Maße:	241 x 160 x 19 mm
Von/Mit:	Maurice A. De Gosson
Erscheinungsdatum:	29.01.2016
Gewicht:	0,53 kg

Artikel-ID: 104125954