國立虎尾科技大學 |

Born-Jordan quantization = theory and applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Born-Jordan quantization/ by Maurice A. de Gosson.
Reminder of title:	theory and applications /
Author:	Gosson, Maurice A. de.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xiii, 226 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Mathematical physics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-27902-2
ISBN:	9783319279022

Born-Jordan quantization = theory and applications /
Gosson, Maurice A. de.

Born-Jordan quantizationtheory and applications /[electronic resource] :by Maurice A. de Gosson. - Cham :Springer International Publishing :2016. - xiii, 226 p. :ill., digital ;24 cm. - Fundamental theories of physics,v.1820168-1222 ;. - Fundamental theories of physics ;v.172..

Born-Jordan Quantization: Physical Motivation: On the Quantization Problem -- Quantization of Monomials -- Basic Hamiltonian Mechanics -- Wave Mechanics and the Schrodinger 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.

This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. The Schrodinger 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.

ISBN: 9783319279022

Standard No.: 10.1007/978-3-319-27902-2doiSubjects--Topical Terms:

527831
Mathematical physics.

LC Class. No.: QC20

Dewey Class. No.: 530.15

Born-Jordan quantization = theory and applications /
LDR:02382nam a2200325 a 4500 001 862293
003 DE-He213
005 20160818145619.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319279022 $q (electronic bk.)
020 $a 9783319279008 $q (paper)
024 7 $a 10.1007/978-3-319-27902-2 $2 doi
035 $a 978-3-319-27902-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
082 0 4 $a 530.15 $2 23
090 $a QC20 $b .G681 2016
100 1 $a Gosson, Maurice A. de. $3 1105555
245 1 0 $a Born-Jordan quantization $h [electronic resource] : $b theory and applications / $c by Maurice A. de Gosson.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a xiii, 226 p. : $b ill., digital ; $c 24 cm.
490 1 $a Fundamental theories of physics, $x 0168-1222 ; $v v.182
505 0 $a Born-Jordan Quantization: Physical Motivation: On the Quantization Problem -- Quantization of Monomials -- Basic Hamiltonian Mechanics -- Wave Mechanics and the Schrodinger 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.
520 $a This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. The Schrodinger 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.
650 0 $a Mathematical physics. $3 527831
650 0 $a Operator-valued functions. $3 787475
650 1 4 $a Physics. $3 564049
650 2 4 $a Quantum Physics. $3 671960
650 2 4 $a Operator Theory. $3 672127
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a History and Philosophical Foundations of Physics. $3 782545
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Fundamental theories of physics ; $v v.172. $3 885722
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-27902-2
950 $a Physics and Astronomy (Springer-11651)