Chapter
Understanding Hilbert Space in Quantum Mechanics
35:16 - 39:28 (04:12)
The Hilbert space in quantum mechanics is an abstract mathematical space that contains all possible wave functions for a given system, and corresponds to a space of possibilities for momentum, position, and other dimensions.
Clips
Hilbert space is a space of all possible quantum wave functions while phase space is 6-dimensional representing three dimensions of position and three dimensions of velocity.
35:16 - 37:29 (02:12)
Hilbert Space, Phase Space
Summary
Hilbert space is a space of all possible quantum wave functions while phase space is 6-dimensional representing three dimensions of position and three dimensions of velocity.
ChapterUnderstanding Hilbert Space in Quantum Mechanics
EpisodeSean Carroll: Quantum Mechanics and the Many-Worlds Interpretation
PodcastLex Fridman Podcast
Entropy refers to the amount of unknown information in a system, represented by the difference between what is known and the full exact microscopic state.
37:29 - 39:28 (01:59)
Entropy
Summary
Entropy refers to the amount of unknown information in a system, represented by the difference between what is known and the full exact microscopic state. As more information is acquired, the dimensional space of the system increases correspondingly.