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:	de Gosson, Maurice A.
Description:	XIII, 226 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Quantum physics. -
Online resource:	https://doi.org/10.1007/978-3-319-27902-2
ISBN:	9783319279022

Born-Jordan Quantization = Theory and Applications /
de Gosson, Maurice A.

Born-Jordan QuantizationTheory and Applications /[electronic resource] :by Maurice A. de Gosson. - 1st ed. 2016. - XIII, 226 p.online resource. - Fundamental Theories of Physics,1820168-1222 ;. - Fundamental Theories of Physics,178.

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.

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.

ISBN: 9783319279022

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

1179090
Quantum physics.

LC Class. No.: QC173.96-174.52

Dewey Class. No.: 530.12

Born-Jordan Quantization = Theory and Applications /
LDR:02793nam a22004095i 4500 001 980215
003 DE-He213
005 20200702041319.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319279022 $9 978-3-319-27902-2
024 7 $a 10.1007/978-3-319-27902-2 $2 doi
035 $a 978-3-319-27902-2
050 4 $a QC173.96-174.52
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
072 7 $a PHQ $2 thema
082 0 4 $a 530.12 $2 23
100 1 $a de Gosson, Maurice A. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1273089
245 1 0 $a Born-Jordan Quantization $h [electronic resource] : $b Theory and Applications / $c by Maurice A. de Gosson.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XIII, 226 p. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Fundamental Theories of Physics, $x 0168-1222 ; $v 182
505 0 $a 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.
520 $a 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.
650 0 $a Quantum physics. $3 1179090
650 0 $a Operator theory. $3 527910
650 0 $a Mathematical physics. $3 527831
650 0 $a Physics. $3 564049
650 1 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 Nature eBook
776 0 8 $i Printed edition: $z 9783319279008
776 0 8 $i Printed edition: $z 9783319279015
776 0 8 $i Printed edition: $z 9783319802367
830 0 $a Fundamental Theories of Physics, $x 0168-1222 ; $v 178 $3 1254810
856 4 0 $u https://doi.org/10.1007/978-3-319-27902-2
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)