Java Implementation of Quick Sort
If the algorithm was taken from a book, then chances are it will be as good as it could possibly be.  So as long as you followed it to the letter, there really shouldn't be any issues in your implementation.

There is however one thing I think could be improved upon, the interface to initiate the sort.  When I think of sorting a collection, I'd expect to provide a couple of things, the collection of course and possibly a comparer.  Anything else that requires passing implementation specific values just feels "wrong" to me.  It might be ok if these indices represented the start and stop range of values to sort, but I would still make that as a separate overload.

Your implementation on the other hand requires the collection and indices necessary for the algorithm to work.  This would not be an ideal interface to work with since you have to remember to pass in certain values to perform the sort when instead they could be calculated for me.  I would expose an overload which only accepts the collection to sort which would call the actual implementation with the right arguments.

Also, even though this is the well known quick sort algorithm, I'd still provide better variable names.  Not really a problem here, personal preference.

// this overload is the public interface to do the sort
public static void quickSort(int[] collection)
{
    quickSort(collection, 0, collection.length - 1);
}

// note: method is now private
private static void quickSort(int[] collection, int pivotIndex, int rangeIndex)
{
    // etc...
}