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Maxwell's Equations and Yang-Mills E...

Munshi, Sachin.

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Maxwell's Equations and Yang-Mills Equations in Complex Variables: New Perspectives.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Maxwell's Equations and Yang-Mills Equations in Complex Variables: New Perspectives./
Author:	Munshi, Sachin.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2020,
Description:	76 p.
Notes:	Source: Dissertations Abstracts International, Volume: 81-12, Section: B.
Contained By:	Dissertations Abstracts International81-12B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27960465
ISBN:	9798641702261

Maxwell's Equations and Yang-Mills Equations in Complex Variables: New Perspectives.
Munshi, Sachin.

Maxwell's Equations and Yang-Mills Equations in Complex Variables: New Perspectives. - Ann Arbor : ProQuest Dissertations & Theses, 2020 - 76 p.

Source: Dissertations Abstracts International, Volume: 81-12, Section: B.

Thesis (Ph.D.)--State University of New York at Albany, 2020.

This item must not be sold to any third party vendors.

Maxwell's equations, named after James C. Maxwell, are a U(1) gauge theory describing the interactions between electric and magnetic fields. They lie at the heart of classical electromagnetism and electrodynamics. Yang-Mills equations, named after C. N. Yang and Robert Mills, generalize Maxwell's equations and are associated with a non-abelian gauge theory called Yang-Mills theory. Yang-Mills theory unified the electroweak interaction with the strong interaction (QCD), and it is the foundation of the Standard Model in particle physics.The purpose of this thesis is, from a mathematical viewpoint, to derive a complex variable version of Maxwell's equations and Yang-Mills equations in connection with complex geometry, C*-algebras, projective joint spectrum, and Lie algebras. We shall consider working under the Euclidean metric, Minkowski metric, and a Hermitian metric g.

ISBN: 9798641702261Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

C*-algebra

Maxwell's Equations and Yang-Mills Equations in Complex Variables: New Perspectives.
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300 $a 76 p.
500 $a Source: Dissertations Abstracts International, Volume: 81-12, Section: B.
500 $a Advisor: Yang, Rongwei.
502 $a Thesis (Ph.D.)--State University of New York at Albany, 2020.
506 $a This item must not be sold to any third party vendors.
520 $a Maxwell's equations, named after James C. Maxwell, are a U(1) gauge theory describing the interactions between electric and magnetic fields. They lie at the heart of classical electromagnetism and electrodynamics. Yang-Mills equations, named after C. N. Yang and Robert Mills, generalize Maxwell's equations and are associated with a non-abelian gauge theory called Yang-Mills theory. Yang-Mills theory unified the electroweak interaction with the strong interaction (QCD), and it is the foundation of the Standard Model in particle physics.The purpose of this thesis is, from a mathematical viewpoint, to derive a complex variable version of Maxwell's equations and Yang-Mills equations in connection with complex geometry, C*-algebras, projective joint spectrum, and Lie algebras. We shall consider working under the Euclidean metric, Minkowski metric, and a Hermitian metric g.
590 $a School code: 0668.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
650 4 $a Applied mathematics. $3 2122814
653 $a C*-algebra
653 $a Differential forms
653 $a Hodge star operator
653 $a Maxwell's equations
653 $a Projective joint spectrum
653 $a Yang-Mills equations
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710 2 $a State University of New York at Albany. $b Mathematics and Statistics. $3 3547640
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793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27960465