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Wavefunctions in Momentum-space Representations

We can construction "momentum-space" wavefunctions, rather than only considering position-space. This process of converting between the two representations is a Fourier transform.

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Fourier Transforms and Wave Packets in the PhET Fourier Simulation Fourier: Making Waves
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Fourier Transforms and Wave Packets in the PhET Fourier Simulation Fourier: Making Waves

Fourier transforms and delta functions
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Fourier transforms and delta functions

Scattering from a Barrier
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Scattering from a Barrier

The Momentum Operator
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The Momentum Operator

To Understand the Fourier Transform, Start From Quantum Mechanics
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To Understand the Fourier Transform, Start From Quantum Mechanics

The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?
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The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?

Inner Products in Hilbert Space
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Inner Products in Hilbert Space

Wavepackets and Fourier representation
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Wavepackets and Fourier representation

Ladder and number operators of the quantum harmonic oscillator
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Ladder and number operators of the quantum harmonic oscillator

Richard Feynman. Why.
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Richard Feynman. Why.

Understanding Quantum Mechanics #4: It's not so difficult!
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Understanding Quantum Mechanics #4: It's not so difficult!

Expectation Value of Momentum for the n=1 state of the Infinite Square Well
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Expectation Value of Momentum for the n=1 state of the Infinite Square Well

Schrödinger Equation in Momentum Space | Quantum Mechanics
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Schrödinger Equation in Momentum Space | Quantum Mechanics

Heisenberg's Uncertainty Principle EXPLAINED (for beginners)
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Heisenberg's Uncertainty Principle EXPLAINED (for beginners)

Angular Momentum and Space Quantization
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Angular Momentum and Space Quantization

But what is a Fourier series?  From heat flow to drawing with circles | DE4
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But what is a Fourier series? From heat flow to drawing with circles | DE4

Wavefunction Properties, Normalization, and Expectation Values
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Wavefunction Properties, Normalization, and Expectation Values

Why string theory isn't real physics | Roger Penrose, Brian Greene, and Eric Weinstein
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Why string theory isn't real physics | Roger Penrose, Brian Greene, and Eric Weinstein

But what is the Fourier Transform?  A visual introduction.
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But what is the Fourier Transform? A visual introduction.

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