Zum Hauptinhalt springen
Dekorationsartikel gehören nicht zum Leistungsumfang.
Born-Jordan Quantization
Theory and Applications
Buch von Maurice A. De Gosson
Sprache: Englisch

49,45 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-3 Wochen

Kategorien:
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.
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.
Ãœber 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: Mathematik, Medizin, Naturwissenschaften, Physik, Technik
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
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 241 x 160 x 19 mm
Von/Mit: Maurice A. De Gosson
Erscheinungsdatum: 29.01.2016
Gewicht: 0,53 kg
Artikel-ID: 104125954
Ãœber 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: Mathematik, Medizin, Naturwissenschaften, Physik, Technik
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
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 241 x 160 x 19 mm
Von/Mit: Maurice A. De Gosson
Erscheinungsdatum: 29.01.2016
Gewicht: 0,53 kg
Artikel-ID: 104125954
Sicherheitshinweis