YoVDO

Souriau's Geometric Principles for Quantum Mechanics

Offered By: Conference GSI via YouTube

Tags

Quantum Mechanics Courses Classical Mechanics Courses Quantum States Courses Geometric Analysis Courses Geometric Quantization Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore Souriau's geometric approach to quantum mechanics in this 21-minute conference talk from GSI. Delve into the unique relationship between quantum and classical mechanics, where the two coexist rather than succeed one another. Examine the twofold nature of quantum structure analysis, particularly in geometric terms. Learn how classical concepts, including symmetries and Planck's constant, lay the foundation for understanding quantum states. Discover how prequantization and generator groups, defined classically, determine quantum states through a system of inequalities. Investigate examples demonstrating how this approach recovers standard quantum structures in detail. Consider the challenges physicists face in choosing and establishing generator groups with quantum states for specific systems, acknowledging that solutions are currently limited to a few cases.

Syllabus

Souriau’s Geometric Principles for Quantum Mechanics


Taught by

Conference GSI

Related Courses

Atomic and Optical Physics: Ultracold Atoms and Many-body Physics
Massachusetts Institute of Technology via edX
Quantum Information Science II: Quantum states, noise and error correction
Massachusetts Institute of Technology via edX
Физические основы квантовой информатики
National Research Nuclear University MEPhI via edX
Fundamentals of Macroscopic and Microscopic Thermodynamics
University of Colorado Boulder via Coursera
Introduction To Quantum Physics and Its Applications
Indian Institute of Technology Bombay via Swayam