Question

A wavefunction with this shape is the propagator of the diffusion equation. The normalizable solution to the Schrödinger equation for a free particle is typically assumed to be a wavefunction with this shape. Because the Fourier transform of a wavefunction with this shape also has this shape, those wavefunctions satisfy the lower bound of the uncertainty principle. A wavefunction with this shape is the ground state of the quantum harmonic (*) oscillator. Uniquely, ■END■

ANSWER: Gaussian [or bell curve; accept normal distribution until read; accept Gaussian wavepacket]
<BW, Physics>
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