A NEW APPROACH FOR STUDYING HUBBLE DIAGRAMS OF QUASARS

In this paper, a new approach for studying Hubble diagrams of quasars is introduced. The purpose is to reduce the well-known very large scat ter in the diagram. We believe that the scatter is mainly caused by th e wide spread of luminosity distribution of quasars. Based on a large number of quasars having been discovered, we introduce a new quantity, the collective apparent magnitude of certain amount of quasars in a c orresponding redshift interval, and make a plot of the collective appa rent magnitude versus redshift with the data published by Hewitt and B urbidge (1993). The quantity is contributed by individual apparent lum inosities as well as the luminosity distribution of quasars. Scatter i s expected to be largely reduced in the corresponding diagram, and thi s is indeed true as shown by the figures. By discussing several possib le effects and from the figures, we find that the assumption that reds hifts of quasars are distance indicators is confirmed, and the standar d cosmological model is supported.