LEADER 00879nam0-22003011i-450- 001 990000034310403321 035 $a000003431 035 $aFED01000003431 035 $a(Aleph)000003431FED01 035 $a000003431 100 $a20011111d--------km-y0itay50------ba 101 0 $aita 105 $ay-------001yy 200 1 $aTransducers for biomedical measuraments$eprinciples and applications$fRichard S.C. Cobbold. 210 $aNew York$cJ. Wiley and sons$d1974 215 $aXIV, 486 p.$cill.$d23 cm 610 0 $aTrasduttori 610 0 $aIngegneria biomedica 676 $a610.28 700 1$aCobbold,$bRichard S.C.$02517 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990000034310403321 952 $a13 F 62 26$b31846$fFINBC 959 $aFINBC 996 $aTransducers for biomedical measuraments$9105921 997 $aUNINA DB $aING01 LEADER 03817nam 22005895 450 001 9910739429203321 005 20200703111434.0 010 $a3-030-13582-9 024 7 $a10.1007/978-3-030-13582-9 035 $a(CKB)4100000007816535 035 $a(MiAaPQ)EBC5739699 035 $a(DE-He213)978-3-030-13582-9 035 $a(PPN)235232629 035 $a(EXLCZ)994100000007816535 100 $a20190322d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Brief Introduction to Dispersion Relations $eWith Modern Applications /$fby José Antonio Oller 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (142 pages) 225 1 $aSpringerBriefs in Physics,$x2191-5423 311 $a3-030-13581-0 327 $aPreface -- Basics on dispersion relations -- Two-body scattering amplitudes with applications -- Final-state interactions with applications. 330 $aThis text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage of the analytical structure of scattering amplitudes following the basic principles of unitarity and causality. First, the case of two-body scattering is considered and then its contribution to other processes through final-state interactions is discussed. For two-body scattering amplitudes, the general expression for a partial-wave amplitude is derived in the approximation where the crossed channel dynamics is neglected. This is taken as the starting point for many interesting nonperturbative applications, both in the light and heavy quark sector. Subsequently crossed channel dynamics is introduced within the equations for calculating the partial-wave amplitudes. Some applications based on methods that treat crossed-channel dynamics perturbatively are discussed too. The last part of this introductory treatment is dedicated to the further impact of scattering amplitudes on a variety of processes through final-state interactions. Several possible approaches are discussed such as the Muskhelishvili-Omnes dispersive integral equations and other closed formulae. These different formalisms are then applied in particular to the study of resonances presenting a number of challenging properties. The book ends with a chapter illustrating the use of dispersion relations in the nuclear medium for the evaluation of the energy density in nuclear matter. 410 0$aSpringerBriefs in Physics,$x2191-5423 606 $aNuclear physics 606 $aHeavy ions 606 $aPhysics 606 $aParticles (Nuclear physics) 606 $aQuantum field theory 606 $aNuclear Physics, Heavy Ions, Hadrons$3https://scigraph.springernature.com/ontologies/product-market-codes/P23010 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 615 0$aNuclear physics. 615 0$aHeavy ions. 615 0$aPhysics. 615 0$aParticles (Nuclear physics) 615 0$aQuantum field theory. 615 14$aNuclear Physics, Heavy Ions, Hadrons. 615 24$aMathematical Methods in Physics. 615 24$aElementary Particles, Quantum Field Theory. 676 $a539.754 676 $a539.75 700 $aOller$b José Antonio$4aut$4http://id.loc.gov/vocabulary/relators/aut$01061370 906 $aBOOK 912 $a9910739429203321 996 $aA Brief Introduction to Dispersion Relations$93553796 997 $aUNINA