The time-energy uncertainty principle
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📚 The Heisenberg uncertainty principle is one of the most famous results in quantum mechanics. The most quoted form of this principle involves the uncertainty relation between position and momentum. Another rather famous form of the uncertainty principle is that between time and energy. However, the time-energy uncertainty principle is fundamentally different from any other uncertainty principle. This is because time is not an observable in quantum mechanics. In this video, we'll explore the real meaning of the time-energy uncertainty principle.
0:00 Intro
1:03 General uncertainty principles
7:18 Time-energy uncertainty principle
15:52 Examples
17:51 Wrap-up
⏮️ BACKGROUND
Schrödinger equation: • The Schrödinger equation
Expectation values and root mean square deviations: • Expectation values in quantum mechanics
The Heisenberg uncertainty principle || Concepts: • The Heisenberg uncertainty principle || De...
The Heisenberg uncertainty principle || Proof: • The Heisenberg uncertainty principle || Proof
Eigenvalues and eigenstates: • Eigenvalues and eigenstates in quantum mec...
Ehrenfest's theorem: • The Ehrenfest theorem
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Director and writer: BM
Producer and designer: MC