Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Perspectives - Lecture 2

Explore alternative viewpoints to conventional quantum mechanics in this lecture from Albert Schwarz at the Institut des Hautes Etudes Scientifiques (IHES). Delve into algebraic and geometric approaches to quantum theory, examining how quantum mechanics can be viewed as classical mechanics with limited observable quantities. Discover how probabilities in quantum theory emerge from decoherence caused by adiabatic interaction with random environments. Investigate the concept of particles as elementary excitations of ground states and quasiparticles as excitations of translation-invariant states. Analyze scattering concepts without relying on fields, locality, or Poincare invariance. Learn about inclusive scattering matrices and their expression through generalized Green's functions. Examine the formalism of L-functionals as a concrete realization of the geometric approach, and understand its application in solving infrared problems in quantum electrodynamics. Access accompanying slides in PDF format for enhanced understanding of this comprehensive exploration of quantum mechanics and quantum field theory from algebraic and geometric perspectives.