Write SQL query to solve given problem: Which item was shipped on 3/4/2013 and scheduled for same day delivery in the South region?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT T2.`Product Name` FROM south_superstore AS T1 INNER JOIN product AS T2 ON T1.`Product ID` = T2.`Product ID` WHERE T1.`Ship Date` = '2013-03-04' AND T2.Region = 'South' AND T1.`Order Date` = '2013-03-04'