How can I create notification on user's connecting to database?

I have users that have access to several databases. I used to have an alert and notification sent to me when a specific user connects to a specific database, but I accidentally clobbered it. Now I have to recreate it.

If I understand correctly, logon triggers won't help, since I don't need to know when they connect to other databases.

Please help! Thank you!

• Sergey