From 1919 to 1924 he was an assistant to the physiologist Armin von Tschermak-Seysenegg at the Institute of Physiology of Charles University and was assistant to the ophthalmologist Anton Elschnig at the eye clinic of Charles University.
In 1935 he also succeeded Siegrist as the clinic's director and professor of ophthalmology.
Goldmann was especially interested in the optics, physics, and development of ophthalmic instruments.
[3] He improved and developed in collaboration with Haag-Streit AG (Aktiengesellschaft) several ophthalmic instruments, including: He was the author of more than 200 articles in peer-reviewed journals.
At the eye clinic of the University of Bern there is a Hans-Goldmann-Stiftung (Foundation) for orthoptics.