This second movement has been equated by many as a representation of Dvořák's homesickness during his visit to America. Its main theme, played by the English Horn (a harmonica in this video) is perhaps the most famous tune in the whole symphony (0:29). It's not hard to see why; it is quite simple, yet almost instantly memorable.
A more melancholic middle section (3:47) presents a new melody. It might be less famous, but it's not at all less beautiful if you ask me. Its second appearance (5:07) is particularly effective, the main melody played by the first violins, with the other strings and woodwinds harmonizing it superbly.
Just when the gloom seems to be settling for good, a remarkable passage of "re-awakening", so to speak, takes place (6:56), shortly before the most powerful moment in the movement (7:19).
Here, the trumpets blare out the famous English Horn melody, while the other instruments make alternating callbacks to one of the tunes of the first movement.
This thunderous passage effectively sets the stage for the proper return of the English Horn and its tune (7:43), after which the movement proceeds and ends in serenity.
Symphony No. 9 in E minor, "From the New World", Op. 95
II. Largo