You can use event delegation to attach the mouse enter to every dynamically appended days on the date picker.
Then you can get the hovered day text and the current month/year displayed.
Code:
var monthname = ["January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"];
$(function () {
$("#pickDate").datepicker();
$("body").on("mouseenter", ".ui-state-default", function () {
$("h1").text(monthname.indexOf($(".ui-datepicker-month").text()) + 1 + "/" + $(this).text() + "/" + $(".ui-datepicker-year").text());
});
});