How do I revive the Magic Mouse after replacing batteries?

When I replace the batteries in my Magic Mouse, I turn the mouse off, replace batteries and turn the mouse back on. The problem is that the system does not notice the mouse after this procedure, the mouse cursor stays stuck. I have to put the computer to sleep and wake it again to make the mouse work. Is there a better way to “wake” the mouse, maybe using some keyboard shortcut or a special click combination?

A simple click should do it. I find that it takes a second sometimes to reconnect so I usually click and move the mouse side to side until I see the mouse cursor move.

Here is the official document from Apple:

If you turn your mouse or trackpad off or turn off the Bluetooth option in your computer, the connection between the computer and the mouse or trackpad will be lost. When you turn on the mouse or trackpad and Bluetooth, you can re-establish this connection by simply clicking the mouse button or trackpad surface.

http://support.apple.com/kb/HT3081

I find that double-clicking on both sides of the mouse simultaneously usually causes it to re-pair.