selecting only the element under the cursor

selecting only the element under the cursor

Hi, I'm trying hard to select only the element under the mouse cursor, but for example, when I do this:
$(document).ready(function() {
$("div").hover(
function() {
$(this).addClass("setBorder");
},
function() {
$(this).removeClass("setBorder");
});
});
it sets the border for each div element. so if i'm hovering an inner div, it also influences the outer div:
<div><div></div></div>
I only want the div right under the cursor.
Is there a way to send the element's id to the function above? something like.. $(document).ready(function setBorder(id) {
$(id).hover(... ?