Introduction to Cosmology Ryden · Problem 12.2

Structure Formation: Baryons and Photons

Physics — Astrophysics · schechter-luminosity-function-total-luminosity-density

Problem

For the Schechter luminosity function of galaxies, find the total luminosity density

\Psi

as a function of

L^*

\Phi^*

, and

\alpha

. What is the numerical value of the luminosity density

\Psi_V

in the

V

band, given

L_V^* = 2 \times 10^{10}\, L_{\odot,V}

\Phi^* = 0.005\,\text{Mpc}^{-3}

, and

\alpha = -1