Named after Schrödinger, Erwin - Austrian physicist; Nobel laureate (1887-1961).
Schrödinger is located near the south lunar pole on the far side , and can only be viewed from orbit. Adjacent to the South is the crater Nefed'ev. Farther to the southwest is the crater Amundsen. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.