Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Perspectives - Part 3

Explore quantum mechanics and quantum field theory from algebraic and geometric perspectives in this comprehensive lecture. Delve into alternative viewpoints to conventional quantum mechanics, focusing on the algebraic approach using an algebra of observables and the geometric approach centered on states. Discover how quantum mechanics can be viewed as classical mechanics with limited observable quantities. Learn about the emergence of probabilities in quantum theory through decoherence, and examine the concept of particles as elementary excitations. Investigate scattering theory without relying on fields, locality, or Poincare invariance, including both conventional and inclusive scattering matrices. Study the formalism of L-functionals as a concrete realization of the geometric approach, and its application to solving the infrared problem in quantum electrodynamics. Access accompanying slides for visual support throughout this 1 hour 47 minute lecture by Albert Schwarz from the University of California at Davis, presented at the Institut des Hautes Etudes Scientifiques (IHES).