caa a22 4500 463197372 CHVBK 20180406164926.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10773-006-9270-5 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9270-5 Perel'man Mark Racah Institute of Physics, Hebrew University, Jerusalem, Israel aut Properties of Physical Systems and Projectors: Dispersion Relations, Spectral Representations, Equations of Motion [Elektronische Daten] [Mark Perel'man] All physical systems should be described, as had been marked by von Neumann, via quantitative parameters and qualitative properties, such as causality, mass-spectrality, strict interval of work and so on, which are completely present or are absent, i.e. are representable by projectors. The description of such properties by equations of restriction for response functions, via projectors of the restricted domain (support) of parameters, is offered. Their Fourier transformations directly lead to spectral representations and dispersion relations (DRs) without preliminary study of analiticity. The offered method explaines their accordance to equations of motion. Among other examples the relativistic DRs are established and some their features are studied including possibilities and limits of instantaneous transfer of excitations. The DR for particle scattering on a fixed point-type scatterer is established via kinematics only, without definition of interactions type; it leads to determination of the unique numerical parameter, which can be suggested as a candidate on the role of universal bare charge of SUSY, etc. Springer Science+Business Media, LLC, 2007 property nationallicence dispersion relation nationallicence superluminal nationallicence bare charge nationallicence International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1277-1306 0020-7748 46:5<1277 2007 46 10773 https://doi.org/10.1007/s10773-006-9270-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9270-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Perel'man Mark Racah Institute of Physics, Hebrew University, Jerusalem, Israel aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1277-1306 0020-7748 46:5<1277 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer