In 1962 he and Leo Kadanoff collaborated on Quantum Statistical Mechanics: Green's Function Methods in Equilibrium and Nonequilibrium Problems. In 1969 he published Lectures on Quantum Mechanics, a widely used graduate textbook that, unconventionally, begins with photon polarization. In 1991 he and Chris Pethick published the monographLandau Fermi-Liquid Theory: Concepts and Applications.
Baym was awarded the Hans A. Bethe Prize in 2002 "For his superb synthesis of fundamental concepts which have provided an understanding of matter at extreme conditions, ranging from crusts and interiors of neutron stars to matter at ultrahigh temperature".[1] He also received the Lars Onsager Prize in 2008 "for fundamental applications of statistical physics to quantum fluids, including Fermi liquid theory and ground-state properties of dilute quantum gases, and for bringing a conceptual unity to these areas"[2] along with Christopher Pethick and Tin-Lun Ho.