東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

A brief introduction to dispersion r...

Oller, Jose Antonio.

FindBook

Google Book

Amazon

博客來

A brief introduction to dispersion relations = with modern applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A brief introduction to dispersion relations/ by Jose Antonio Oller.
其他題名:	with modern applications /
作者:	Oller, Jose Antonio.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	viii, 141 p. :ill. (some col.), digital ;24 cm.
內容註:	Preface -- Basics on dispersion relations -- Two-body scattering amplitudes with applications -- Final-state interactions with applications.
Contained By:	Springer eBooks
標題:	Dispersion relations. -
電子資源:	https://doi.org/10.1007/978-3-030-13582-9
ISBN:	9783030135829

A brief introduction to dispersion relations = with modern applications /
Oller, Jose Antonio.

A brief introduction to dispersion relationswith modern applications /[electronic resource] :by Jose Antonio Oller. - Cham :Springer International Publishing :2019. - viii, 141 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in physics,2191-5423. - SpringerBriefs in physics..

Preface -- Basics on dispersion relations -- Two-body scattering amplitudes with applications -- Final-state interactions with applications.

This text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage of the analytical structure of scattering amplitudes following the basic principles of unitarity and causality. First, the case of two-body scattering is considered and then its contribution to other processes through final-state interactions is discussed. For two-body scattering amplitudes, the general expression for a partial-wave amplitude is derived in the approximation where the crossed channel dynamics is neglected. This is taken as the starting point for many interesting nonperturbative applications, both in the light and heavy quark sector. Subsequently crossed channel dynamics is introduced within the equations for calculating the partial-wave amplitudes. Some applications based on methods that treat crossed-channel dynamics perturbatively are discussed too. The last part of this introductory treatment is dedicated to the further impact of scattering amplitudes on a variety of processes through final-state interactions. Several possible approaches are discussed such as the Muskhelishvili-Omnes dispersive integral equations and other closed formulae. These different formalisms are then applied in particular to the study of resonances presenting a number of challenging properties. The book ends with a chapter illustrating the use of dispersion relations in the nuclear medium for the evaluation of the energy density in nuclear matter.

ISBN: 9783030135829

Standard No.: 10.1007/978-3-030-13582-9doiSubjects--Topical Terms:

1636635
Dispersion relations.

LC Class. No.: QC794

Dewey Class. No.: 539.75

A brief introduction to dispersion relations = with modern applications /
LDR:02700nmm a2200337 a 4500 001 2180761
003 DE-He213
005 20190322150652.0
006 m d
007 cr nn 008maaau
008 191122s2019 gw s 0 eng d
020 $a 9783030135829 $q (electronic bk.)
020 $a 9783030135812 $q (paper)
024 7 $a 10.1007/978-3-030-13582-9 $2 doi
035 $a 978-3-030-13582-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QC794
072 7 $a PHM $2 bicssc
072 7 $a SCI051000 $2 bisacsh
072 7 $a PHM $2 thema
082 0 4 $a 539.75 $2 23
090 $a QC794 $b .O49 2019
100 1 $a Oller, Jose Antonio. $3 3387112
245 1 2 $a A brief introduction to dispersion relations $h [electronic resource] : $b with modern applications / $c by Jose Antonio Oller.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a viii, 141 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in physics, $x 2191-5423
505 0 $a Preface -- Basics on dispersion relations -- Two-body scattering amplitudes with applications -- Final-state interactions with applications.
520 $a This text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage of the analytical structure of scattering amplitudes following the basic principles of unitarity and causality. First, the case of two-body scattering is considered and then its contribution to other processes through final-state interactions is discussed. For two-body scattering amplitudes, the general expression for a partial-wave amplitude is derived in the approximation where the crossed channel dynamics is neglected. This is taken as the starting point for many interesting nonperturbative applications, both in the light and heavy quark sector. Subsequently crossed channel dynamics is introduced within the equations for calculating the partial-wave amplitudes. Some applications based on methods that treat crossed-channel dynamics perturbatively are discussed too. The last part of this introductory treatment is dedicated to the further impact of scattering amplitudes on a variety of processes through final-state interactions. Several possible approaches are discussed such as the Muskhelishvili-Omnes dispersive integral equations and other closed formulae. These different formalisms are then applied in particular to the study of resonances presenting a number of challenging properties. The book ends with a chapter illustrating the use of dispersion relations in the nuclear medium for the evaluation of the energy density in nuclear matter.
650 0 $a Dispersion relations. $3 1636635
650 1 4 $a Nuclear Physics, Heavy Ions, Hadrons. $3 894046
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 894026
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in physics. $3 1314314
856 4 0 $u https://doi.org/10.1007/978-3-030-13582-9
950 $a Physics and Astronomy (Springer-11651)