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The Entropic Dynamics Approach to Quantum Mechanics

Offered By: Centrum Fizyki Teoretycznej PAN via YouTube

Tags

Quantum Mechanics Courses Information Theory Courses Statistical Inference Courses Probability Theory Courses Hilbert Spaces Courses Schrodinger Equation Courses Hamiltonian Dynamics Courses Symplectic Geometry Courses

Course Description

Overview

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Explore the Entropic Dynamics (ED) approach to Quantum Mechanics in this comprehensive lecture by Prof. Ariel Caticha from SUNY Albany. Delve into the framework for reconstructing Quantum Mechanics using entropic methods of inference, starting with a clear distinction between ontic and epistemic variables. Learn how ED drives the dynamics of probability distribution through entropy, subject to constraints related to the wave function's phase. Discover the challenge of updating these constraints and the key ingredients involved: the natural symplectic structure and metric structure of the cotangent bundle associated with the probability simplex. Understand how preserving both structures leads to a Hamiltonian dynamics of probabilities, deriving the Schrödinger equation's linearity, complex structure emergence, Hilbert spaces, and the Born rule. Gain insights into ED as a conservative theory attributing definite ontic status to particles or fields and epistemic status to probabilities and wave functions, while denying the ontic status of dynamics and observables except position.

Syllabus

Prof. Ariel Caticha (SUNY Albany, USA): The Entropic Dynamics approach to Quantum Mechanics


Taught by

Centrum Fizyki Teoretycznej PAN

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