(a) A free proton is localized within Ax = 10-¹0m. Estimate the time t, it takes the packet to spread appreciably. Repeat for an proton localized within 1 cm.

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(a) A free proton is localized within Ax
=
10-10m. Estimate the time t, it takes
the packet to spread appreciably. Repeat for an proton localized within 1 cm.
(b) Consider a wave packet that satisfies the relation AxAp h. Show that the
condition App guarantees that the packet does not spread appreciably in
the time it takes to pass through a fixed position.
Transcribed Image Text:(a) A free proton is localized within Ax = 10-10m. Estimate the time t, it takes the packet to spread appreciably. Repeat for an proton localized within 1 cm. (b) Consider a wave packet that satisfies the relation AxAp h. Show that the condition App guarantees that the packet does not spread appreciably in the time it takes to pass through a fixed position.
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