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Exploring Path Integrals in Quantum Mechanics
This chapter examines the essential role of path integrals in quantum mechanics, detailing various forms and their significance in calculating amplitudes and density matrices. It also investigates the interplay between classical and quantum frameworks, particularly through concepts like Brownian motion and stochastic processes.
Welcome to Theories of Everything's "Rethinking the Foundations of the Physics: What is Unification?" series featuring Jonathan Oppenheim.
Jonathan Oppenheim is a renowned theoretical physicist and professor at University College London (UCL), known for his groundbreaking research in quantum information theory, quantum gravity, and the relationship between quantum mechanics and thermodynamics. Jonathan holds a Ph.D. from the University of Cambridge and is recognized for his contributions to the fields of quantum foundations and quantum computation. https://www.ucl.ac.uk/oppenheim/
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LINKS MENTIONED:
- Sean Carroll on TOE: https://www.youtube.com/watch?v=9AoRxtYZrZo
- Jonathan's first appearance on TOE: https://www.youtube.com/watch?v=NKOd8imBa2s
- Jonathan's paper on hybrid classical-quantum dynamics: https://arxiv.org/pdf/2203.01332
- Jonathan's paper on a post-quantum theory of classical gravity: https://journals.aps.org/prx/pdf/10.1103/PhysRevX.13.041040
- Jonathan's website: https://www.ucl.ac.uk/oppenheim/
- List of all of Jonathan's published papers: https://arxiv.org/search/?query=Oppenheim%2C+Jonathan&searchtype=author&abstracts=show&order=-announced_date_first&size=50
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Timestamps:
00:00 - Intro
01:08 - Quantum Mechanics and Classical Mechanics
06:05 - Quantizing Gravity
10:30 - How Gravity is Different
16:07 - Classical-Quantum Gravity
21:42 - Quantum Mechanics
25:23 - Example of Continuous Master-Equation
28:45 - Observation Causes a Collapse
35:20 - Path Integrals
49:34 - Intuitions
59:32 - Is Spacetime Classical?
01:03:05 - Outro / Support TOE
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