If it makes you feel any better, I did not receive anything either. My friend also applied and did not receive anything. I heard that they will email us once they need the TEAS completed or our score...
FYI, I just received my first email from LAPC confirming receipt of my application and inviting me to take the TEAS. Since I have already taken my TEAS, I sent my score to them. Now its just a waiting...