國立高雄大學圖資館 |

Language: English

Back

A second course in topos quantum theory

Flori, Cecilia.

A second course in topos quantum theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	A second course in topos quantum theoryby Cecilia Flori.
Author:	Flori, Cecilia.
Published:	Cham :Springer International Publishing :2018.
Description:	xiv, 342 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Quantum theory.
Online resource:	http://dx.doi.org/10.1007/978-3-319-71108-9
ISBN:	9783319711089$q(electronic bk.)

A second course in topos quantum theory
Flori, Cecilia.

A second course in topos quantum theory[electronic resource] /by Cecilia Flori. - Cham :Springer International Publishing :2018. - xiv, 342 p. :ill. (some col.), digital ;24 cm. - Lecture notes in physics,v.9440075-8450 ;. - Lecture notes in physics ;650..

Logic of Propositions in Topos Quantum Theory -- Developments on Self Adjoint Operators in Topos Quantum Theory -- Physical quantities interpreted as modal operators -- Group action in Topos Quantum Theory take two -- Quantization in Topos Quantum Theory -- Groethendieck Topoi -- Locales -- Spacetime -- Topos and Logic -- Internalizing Objects in Topos Theory -- What information can be recovered from the abelian subalgebras of a von-Neumann algebra -- Extending the spectral presheaf to non-abelian unital C*-algebras.

This advanced course, a sequel to the first volume of this lecture series on topos quantum theory, delves deeper into the theory, addressing further technical aspects and recent advances. These include, but are not limited to, the development of physical quantities and self-adjoint operators; insights into the quantization process; the description of an alternative, covariant version of topos quantum theory; and last but not least, the development of a new concept of spacetime. The book builds on the concepts introduced in the first volume (published as Lect. Notes Phys. 868), which presents the main building blocks of the theory and how it could provide solutions to interpretational problems in quantum theory, such as: What are the main conceptual issues in quantum theory? And how can these issues be solved within a new theoretical framework of quantum theory? These two volumes together provide a complete, basic course on topos quantum theory, offering a set of mathematical tools to readers interested in tackling fundamental issues in quantum theory in general, and in quantum gravity in particular. From the reviews of the first volume: The book is self-contained and can be used as a textbook or self-study manual teaching the usage of category theory and topos theory, in particular in theoretical physics or in investigating the foundations of quantum theory in mathematically rigorous terms. [The] book is a very welcome contribution. Frank Antonsen, Mathematical Reviews, December, 2013.

ISBN: 9783319711089$q(electronic bk.)

Standard No.: 10.1007/978-3-319-71108-9doiSubjects--Topical Terms:

199020
Quantum theory.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

A second course in topos quantum theory
LDR:03022nmm a2200325 a 4500 001 532062
003 DE-He213
005 20180208193247.0
006 m d
007 cr nn 008maaau
008 181113s2018 gw s 0 eng d
020 $a 9783319711089$q(electronic bk.)
020 $a 9783319711072$q(paper)
024 7 $a 10.1007/978-3-319-71108-9 $2 doi
035 $a 978-3-319-71108-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.12
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
082 0 4 $a 530.12 $2 23
090 $a QC174.12 $b .F635 2018
100 1 $a Flori, Cecilia. $3 806887
245 1 2 $a A second course in topos quantum theory $h [electronic resource] / $c by Cecilia Flori.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiv, 342 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in physics, $x 0075-8450 ; $v v.944
505 0 $a Logic of Propositions in Topos Quantum Theory -- Developments on Self Adjoint Operators in Topos Quantum Theory -- Physical quantities interpreted as modal operators -- Group action in Topos Quantum Theory take two -- Quantization in Topos Quantum Theory -- Groethendieck Topoi -- Locales -- Spacetime -- Topos and Logic -- Internalizing Objects in Topos Theory -- What information can be recovered from the abelian subalgebras of a von-Neumann algebra -- Extending the spectral presheaf to non-abelian unital C*-algebras.
520 $a This advanced course, a sequel to the first volume of this lecture series on topos quantum theory, delves deeper into the theory, addressing further technical aspects and recent advances. These include, but are not limited to, the development of physical quantities and self-adjoint operators; insights into the quantization process; the description of an alternative, covariant version of topos quantum theory; and last but not least, the development of a new concept of spacetime. The book builds on the concepts introduced in the first volume (published as Lect. Notes Phys. 868), which presents the main building blocks of the theory and how it could provide solutions to interpretational problems in quantum theory, such as: What are the main conceptual issues in quantum theory? And how can these issues be solved within a new theoretical framework of quantum theory? These two volumes together provide a complete, basic course on topos quantum theory, offering a set of mathematical tools to readers interested in tackling fundamental issues in quantum theory in general, and in quantum gravity in particular. From the reviews of the first volume: The book is self-contained and can be used as a textbook or self-study manual teaching the usage of category theory and topos theory, in particular in theoretical physics or in investigating the foundations of quantum theory in mathematically rigorous terms. [The] book is a very welcome contribution. Frank Antonsen, Mathematical Reviews, December, 2013.
650 0 $a Quantum theory. $3 199020
650 1 4 $a Physics. $3 179414
650 2 4 $a Quantum Physics. $3 275010
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in physics ; $v 650. $3 451204
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-71108-9
950 $a Physics and Astronomy (Springer-11651)