Abstract
A four vector is constructed for the statistical interpretation of a relativistic scalar wave function which is not a solution of an interaction-free Klein-Gordon equation. The zero component of the four vector is positive definite, whereas the four components satisfy the equation of continuity. It is proved that these components, which are bilinear forms inΨ(x)=∫d4pa(p)e−ipxsatisfying the normalization condition(2π)4(2m)−1∫ d4pθ(p0)θ6(p2)¦a(p)¦2=1 reduce to the four-vector ofPetzold and co-workers if the transition fromΨ(x) to the free-particle wave functionΦ(x)=∫d3¯pa(¯p)e−ipxsatisfying(2π)3 (2m)−1∫(2p0)−1¦a (¯p)¦2d3¯p=1 is made in the proper way. The nonrelativistic limit in the case of relativistic interactions is also discussed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
