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2018-07-11: Quantum Invariance & The Origin of The Standard Model

  • 03:24: This step of squaring the wave function is called the Born rule.
  • 04:07: When we apply the Born rule, what we're doing is squaring these two waves and adding them together.

2017-12-06: Understanding the Uncertainty Principle with Quantum Fourier Series

  • 07:57: To answer this, we need one more bit of physics; the interpretation of the wave function itself, known as the Born rule.
  • 08:12: ... expressing the wave function in terms of position, then applying the Born rule tells us how likely we are to find the particle at any given point when ...
  • 08:30: If we apply the Born rule to the momentum function, then we learn the range of momenta the particle is likely to have.
  • 08:12: ... expressing the wave function in terms of position, then applying the Born rule tells us how likely we are to find the particle at any given point when we ...

2017-07-12: Solving the Impossible in Quantum Field Theory

  • 14:23: That's the Born rule right there.
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