[1][2] He studied in Leipzig at the Hochschule für Musik und Theater "Felix Mendelssohn Bartholdy" with Wolfgang Schetelich,[3] completing the A-exam in 1978.

In 1980, shortly before the completion of the new building of the Gewandhaus,[4] Kurt Masur arranged for Eisenberg to be named organist of the Leipzig Gewandhausorchester.

[6] After positions at churches in Bad Homburg and Hanover, he has performed as a freelance organist and harpsichordist and as a partner of chamber ensembles and symphony orchestras in cities across Europe, Asia, North and South America, and Australia.

As a conductor, he recorded Bach's secular cantata Mer hahn en neue Oberkeet, BWV 212 from the harpsichord, with soloists Juliane Claus, Martin Krumbiegel and Georg Christoph Biller in 1992, Bach's church cantata Ich armer Mensch, ich Sündenknecht, BWV 55 with Martin Petzold and members of the Thomanerchor in 1998, and songs from Schemellis Gesangbuch (Schemelli's Songbook) with Thomanerchor singers of two generations in 1998, playing the organ.

[3] Also in 2003, Schleswig-Holstein's Prime Minister Heide Simonis awarded him the honorary title of professor, for his outstanding contributions for organ music.