國立虎尾科技大學 |

An Algebraic Geometric Approach to Separation of Variables

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Algebraic Geometric Approach to Separation of Variables/ by Konrad Schöbel.
作者:	Schöbel, Konrad.
面頁冊數:	XII, 138 p. 7 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical physics. -
電子資源:	https://doi.org/10.1007/978-3-658-11408-4
ISBN:	9783658114084

An Algebraic Geometric Approach to Separation of Variables
Schöbel, Konrad.

An Algebraic Geometric Approach to Separation of Variables[electronic resource] /by Konrad Schöbel. - 1st ed. 2015. - XII, 138 p. 7 illus.online resource.

The Foundation: The Algebraic Integrability Conditions -- The Proof of Concept: A Complete Solution for the 3-Sphere -- The Generalisation: A Solution for Spheres of Arbitrary Dimension -- The Perspectives: Applications and Generalisations.

Konrad Schöbel aims to lay the foundations for a consequent algebraic geometric treatment of variable separation, which is one of the oldest and most powerful methods to construct exact solutions for the fundamental equations in classical and quantum physics. The present work reveals a surprising algebraic geometric structure behind the famous list of separation coordinates, bringing together a great range of mathematics and mathematical physics, from the late 19th century theory of separation of variables to modern moduli space theory, Stasheff polytopes and operads. "I am particularly impressed by his mastery of a variety of techniques and his ability to show clearly how they interact to produce his results.” (Jim Stasheff) Contents The Foundation: The Algebraic Integrability Conditions The Proof of Concept: A Complete Solution for the 3-Sphere The Generalisation: A Solution for Spheres of Arbitrary Dimension The Perspectives: Applications and Generalisations Target Groups Scientists in the fields of Mathematical Physics and Algebraic Geometry The Author Konrad Schöbel studied physics and mathematics at Friedrich-Schiller University Jena (Germany) and Universidad de Granada (Spain) and obtained his PhD at the Université de Provence Aix-Marseille I (France). He now holds a postdoc position at Friedrich-Schiller University Jena and works as a research and development engineer for applications in clinical ultrasound diagnostics.

ISBN: 9783658114084

Standard No.: 10.1007/978-3-658-11408-4doiSubjects--Topical Terms:

527831
Mathematical physics.

LC Class. No.: QA401-425

Dewey Class. No.: 530.15

An Algebraic Geometric Approach to Separation of Variables
LDR:02998nam a22003855i 4500 001 970584
003 DE-He213
005 20200705121836.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783658114084 $9 978-3-658-11408-4
024 7 $a 10.1007/978-3-658-11408-4 $2 doi
035 $a 978-3-658-11408-4
050 4 $a QA401-425
050 4 $a QC19.2-20.85
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 530.15 $2 23
100 1 $a Schöbel, Konrad. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1266124
245 1 3 $a An Algebraic Geometric Approach to Separation of Variables $h [electronic resource] / $c by Konrad Schöbel.
250 $a 1st ed. 2015.
264 1 $a Wiesbaden : $b Springer Fachmedien Wiesbaden : $b Imprint: Springer Spektrum, $c 2015.
300 $a XII, 138 p. 7 illus. $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
505 0 $a The Foundation: The Algebraic Integrability Conditions -- The Proof of Concept: A Complete Solution for the 3-Sphere -- The Generalisation: A Solution for Spheres of Arbitrary Dimension -- The Perspectives: Applications and Generalisations.
520 $a Konrad Schöbel aims to lay the foundations for a consequent algebraic geometric treatment of variable separation, which is one of the oldest and most powerful methods to construct exact solutions for the fundamental equations in classical and quantum physics. The present work reveals a surprising algebraic geometric structure behind the famous list of separation coordinates, bringing together a great range of mathematics and mathematical physics, from the late 19th century theory of separation of variables to modern moduli space theory, Stasheff polytopes and operads. "I am particularly impressed by his mastery of a variety of techniques and his ability to show clearly how they interact to produce his results.” (Jim Stasheff) Contents The Foundation: The Algebraic Integrability Conditions The Proof of Concept: A Complete Solution for the 3-Sphere The Generalisation: A Solution for Spheres of Arbitrary Dimension The Perspectives: Applications and Generalisations Target Groups Scientists in the fields of Mathematical Physics and Algebraic Geometry The Author Konrad Schöbel studied physics and mathematics at Friedrich-Schiller University Jena (Germany) and Universidad de Granada (Spain) and obtained his PhD at the Université de Provence Aix-Marseille I (France). He now holds a postdoc position at Friedrich-Schiller University Jena and works as a research and development engineer for applications in clinical ultrasound diagnostics.
650 0 $a Mathematical physics. $3 527831
650 0 $a Geometry. $3 579899
650 0 $a Algebra. $2 gtt $3 579870
650 1 4 $a Mathematical Physics. $3 786661
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783658114077
856 4 0 $u https://doi.org/10.1007/978-3-658-11408-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)