The Workshop on Physics at LEAR with Low Energy Cooled Anti protons was held in Erice, May 9 - 16, 1982, at the Ettore Majorana Centre for Scientific Culture, in the framework of the International School of Physics of Exotic Atoms. The Workshop was organized by a committee composed of R. Armenteros, D. Bugg, P. Dalpiaz, U. Gastaldi, K. Kilian, R. Klapisch, P. Lefevre, D. M6hl, S. Polikanov, B. Povh and J.M. Richard. It was attended by 101 physicists from 44 insti tutions and 14 countries, representing one third of the LEAR users. Thjs Workshop was the first general meeting of the LEAR commu nity after the approval of the CERN Low Energy Antiproton Ring faci lity and of the experiments scheduled there for the initial period of oper & tion. It was organized for three main purposes: (i) to review the field of low energy antiproton physics, the initial LEAR experimental programme and the status of preparation of the approved experiments; (ii) to review the facility and the progress in its construction, and to discuss the conditions of its operation; (iii) to discuss future developments of the facility and of the experi mental programme. These Proceedings contain the papers presented in Erice both orally and in the poster session, which displayed also contributions from colleagues who unfortunately could not attend the Workshop. The reports have been ordered in four sessions, following the pro gramme of the meeting. The CERN low energy antiproton facility is presented in Section I.