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Topic 7 of 12

Unbound States

Unbound states describe particles free to travel to infinity — wave packets, multi-particle free states, and scattering.

Wave Packets

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One Particle

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2 to N Particles

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Scattering

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Key Takeaways

Unbound states are not normalizable in the usual sense and are instead built from wave packets
A wave packet is a superposition of momentum eigenstates localized in space
Multi-particle unbound states generalize the single-particle wave packet picture
Scattering connects incoming and outgoing free-particle states through a potential