عنوان

A brief introduction to dispersion relations :

شابک

3030135829

شابک

3030135837

شابک

9783030135829

شابک

9783030135836

شابک اشتباه

3030135810

شابک اشتباه

9783030135812

عنوان اصلي

A brief introduction to dispersion relations :

نام عام مواد

[Book]

ساير اطلاعات عنواني

with modern applications /

نام نخستين پديدآور

José Antonio Oller.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2019.

نام خاص و کميت اثر

1 online resource (viii, 141 pages) :

ساير جزييات

illustrations (some color)

عنوان فروست

SpringerBriefs in physics,

شاپا ي ISSN فروست

2191-5423

متن يادداشت

Includes bibliographical references.

متن يادداشت

Intro; Contents; Introduction; 1 S and T Matrices. Unitarity; 2 Two-Body Scattering. Partial-Wave Expansion; 3 Crossing. Crossed-Channel Singularities; 4 Important Mathematical Results: Schwarz Reflection Principle, Sugawara-Kanazawa Theorem, and Herglotz Theorem; 5 Exact Dispersion Relations in Quantum Mechanics for the Eigenvalues of the Scattering Kernel; 6 General Results for Two-Meson Scattering in Partial Waves After Neglecting the Crossed-Channel Cuts. N/D Method; 7 Reaching the Unphysical Riemann Sheets. A Nonlinear Integral Equation to Calculate a PWA

متن يادداشت

17 An Example of Application of Analyticity in the Nuclear Medium: The Nuclear Energy DensityA Numerical Method to Solve the Coupled Linear IEs in Eq. (15.23); References

بدون عنوان

0

بدون عنوان

8

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030135829

عنوان

Brief introduction to dispersion relations.

شماره استاندارد بين المللي کتاب و موسيقي

9783030135812

موضوع مستند نشده

Dispersion relations.

موضوع مستند نشده

Elementary Particles, Quantum Field Theory.

موضوع مستند نشده

Mathematical Methods in Physics.

موضوع مستند نشده

Nuclear Physics, Heavy Ions, Hadrons.

موضوع مستند نشده

Dispersion relations.

موضوع مستند نشده

PHM

موضوع مستند نشده

PHM

موضوع مستند نشده

SCI051000

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Oller, José Antonio

تاريخ عمليات

20200823071145.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y