Cel Multi-time wave functions are quantum-mechanical wave functions with N space-time arguments for N particles. They were suggested by the Nobel laureates Dirac, Tomonaga and Schwinger as a particularly natural way of achieving manifest Lorentz invariance in the Schrödinger picture. While for a long time it was not clear how to obtain consistent interacting dynamics for multi-time wave functions, this has changed recently when a series of papers has clarified the theory of multi-time Schrödinger equations and provided the first interacting toy models. This project aims, with the long-term goal of a rigorous multi-time formulation of quantum field theory in mind, at improving on these models by considering the possibility of integral equations to formulate interacting dynamics for multi-time wave functions of N=2 particles. This is especially promising, as integral equations avoid a restrictive consistency condition that one faces for differential multi-time equations. Furthermore, the typical ultraviolet divergencies of quantum field theory are avoided.The objectives are (1) to study the existence of solutions of a particular integral equation similar to the Bethe-Salpeter equation, (2) to assess whether the integral equation is compatible with a probabilistic meaning, as well as (3) to determine the classical limit of the integral equation and to compare it with the action-at-a-distance formulation of classical electrodynamics due to Gauß, Fokker, Tetrode, Wheeler and Feynman.Objective (1) shall be approached using the theory of Fredholm integral equations, as well as partial results in the physics literature. For (2), suitable conserved tensor currents with a positive density component shall be constructed. (3) shall be reached by studying wave packets concentrated around the classical world-lines of particles using (and extending) functional-analytic methods of the classical limit, such as Hagedorn wave packets and Wigner functions. Dziedzina nauki natural sciencesphysical sciencestheoretical physicsparticle physicsfermionsnatural sciencesphysical sciencesastronomyphysical cosmologybig bangnatural sciencesphysical sciencesquantum physicsquantum field theorynatural sciencesmathematics Program(-y) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Temat(-y) MSCA-IF-2015-GF - Marie Skłodowska-Curie Individual Fellowships (IF-GF) Zaproszenie do składania wniosków H2020-MSCA-IF-2015 Zobacz inne projekty w ramach tego zaproszenia System finansowania MSCA-IF-GF - Global Fellowships Koordynator EBERHARD KARLS UNIVERSITAET TUEBINGEN Wkład UE netto € 239 860,80 Adres GESCHWISTER-SCHOLL-PLATZ 72074 Tuebingen Niemcy Zobacz na mapie Region Baden-Württemberg Tübingen Tübingen, Landkreis Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 239 860,80 Partnerzy (1) Sortuj alfabetycznie Sortuj według wkładu UE netto Rozwiń wszystko Zwiń wszystko Partner Organizacje partnerskie biorą udział w realizacji działania, jednak nie podpisują umowy o grant. RUTGERS, THE STATE UNIVERSITY OF NEW JERSEY Stany Zjednoczone Wkład UE netto € 0,00 Adres RUTGERS PLAZA 3 08901 New Brunswick Zobacz na mapie Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 160 130,40