The Resource A Brief Introduction to Dispersion Relations : With Modern Applications, by José Antonio Oller, (electronic resource)

A Brief Introduction to Dispersion Relations : With Modern Applications, by José Antonio Oller, (electronic resource)

Label
A Brief Introduction to Dispersion Relations : With Modern Applications
Title
A Brief Introduction to Dispersion Relations
Title remainder
With Modern Applications
Statement of responsibility
by José Antonio Oller
Creator
Contributor
Author
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Oller, José Antonio
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
-R-urqWK_HE
Image bit depth
0
LC call number
  • QC770-798
  • QC702.7.H42
  • QC793.5.H32-793.5.H329
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
SpringerBriefs in Physics,
http://library.link/vocab/subjectName
  • Nuclear physics
  • Mathematical physics
  • Quantum theory
  • Nuclear Physics, Heavy Ions, Hadrons
  • Mathematical Methods in Physics
  • Elementary Particles, Quantum Field Theory
Label
A Brief Introduction to Dispersion Relations : With Modern Applications, by José Antonio Oller, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Basics on dispersion relations -- Two-body scattering amplitudes with applications -- Final-state interactions with applications
Dimensions
unknown
Extent
VIII, 141 p. 10 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783030135829
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-030-13582-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-030-13582-9
Label
A Brief Introduction to Dispersion Relations : With Modern Applications, by José Antonio Oller, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Basics on dispersion relations -- Two-body scattering amplitudes with applications -- Final-state interactions with applications
Dimensions
unknown
Extent
VIII, 141 p. 10 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783030135829
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-030-13582-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-030-13582-9

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