Geometric Quantum States and Lagrangian Polar Duality - Quantum Mechanics without Wavefunctions

Explore a groundbreaking geometric formulation of Gaussian and other pure quantum states in this 22-minute conference talk from GSI. Delve into an extended version of polar duality based on the concept of Lagrangian frames in symplectic space. Discover how this innovative approach challenges the traditional interpretation of the uncertainty principle, eliminating the need for the ad hoc notion of spreading. Learn about the potential implications of this research, including the possibility of developing a quantum mechanical phase space. Gain insights into how this geometric perspective could revolutionize our understanding of quantum mechanics without relying on wavefunctions.

Geometric Quantum States and Lagrangian Polar Duality : Quantum Mechanics without Wavefunctions