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Born-Jordan Quantization

  • Couverture cartonnée
  • 240 Nombre de pages
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This book presents a comprehensive mathematical study of the operators behind the BornJordan quantization scheme. The Schrödinger ... Lire la suite
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Description

This book presents a comprehensive mathematical study of the operators behind the BornJordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the BornJordan scheme is used. Thus, BornJordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book we develop BornJordan 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.



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



Auteur
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).

Contenu

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.

Informations sur le produit

Titre: Born-Jordan Quantization
Auteur:
Code EAN: 9783319802367
ISBN: 3319802364
Format: Couverture cartonnée
Editeur: Springer International Publishing
nombre de pages: 240
Poids: 371g
Taille: H235mm x B155mm x T13mm
Année: 2018
Auflage: Softcover reprint of the original 1st ed. 2016