عنوان

Born-Jordan quantization :

(Number (ISBN

3319279025

(Number (ISBN

9783319279022

Erroneous ISBN

3319279009

Erroneous ISBN

9783319279008

Number

dltt

Title Proper

Born-Jordan quantization :

General Material Designation

[Book]

Other Title Information

theory and applications /

First Statement of Responsibility

Maurice A. de Gosson

Specific Material Designation and Extent of Item

1 online resource (xiii, 226 pages).

Series Title

Fundamental theories of physics,

Volume Designation

182

ISSN of Series

0168-1222 ;

Text of Note

Includes bibliographical references and index

Text of Note

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

0

Text of Note

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

International Standard Book Number

3319279009

Mathematical physics.

Operator-valued functions.

SCI-- 024000

SCI-- 041000

SCI-- 055000

Number

Edition

Class number

Gosson, Maurice de

Ohio Library and Information Network.

Date of Transaction

20160422035627.4

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y