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Explore the foundational 1975 work of Lieb and Thirring on the stability of matter in this 48-minute conference lecture delivered at the Erwin Schrödinger International Institute for Mathematics and Physics. Gain a non-technical introduction to the fundamental problem of proving that matter is stable, understanding why atoms don't collapse and why bulk matter maintains its structural integrity. Discover the key insights that Lieb and Thirring provided in their seminal paper "Bound for the kinetic energy of fermions which proves the stability of matter," which established crucial bounds on the kinetic energy of fermions. Learn about the mathematical physics principles underlying atomic and molecular stability, and examine how this groundbreaking proof has influenced subsequent research in quantum many-body systems. Understand the broader ramifications of their work for modern mathematical physics, including its connections to quantum mechanics, statistical mechanics, and condensed matter theory. This presentation was delivered as part of the Workshop on "Quantum Many-body Systems and Bose-Einstein Condensation: A Mathematical Physics Perspective" and commemorates the 50th anniversary of this pivotal contribution to our understanding of the fundamental stability of matter.
