[jQuery] beginner selector question

[bobh]

hello,

I'm wondering if there is such a thing as:

$("div").hover(
        function(){
                $(this."p").show();
        },
        function(){
                $(this."p").hide();
        }
);

I know the above code is useless because of the use of "this" but I
wonder if there's a selector that does this?

the objective would be to show/hide the paragraph inside the div which
is being hovered

<div>
        <h1></h1>
        <p></p>
</div>
<div>
        <h1></h1>
        <p></p>
</div>
<div>
        <h1></h1>
        <p></p>
</div>
...

thank you