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https://texercises.com/exercise/stationary-state/
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Exercise:
Show that the probability density for a stationary state i.e. an energy eigenstate of the inifinite potential well is timindepent.

Solution:
The probability density for the energy eigenstate n is Px t |psi_nxt|^ psi_n^*xtpsi_nxt A sink_n x e^iomega_n t^* A sink_n x e^iomega_n t A^ sin^k_n x e^-iomega_n t e^iomega_n t A^ sin^k_n x As expected the probability density does not dep on time.
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Exercise:
Show that the probability density for a stationary state i.e. an energy eigenstate of the inifinite potential well is timindepent.

Solution:
The probability density for the energy eigenstate n is Px t |psi_nxt|^ psi_n^*xtpsi_nxt A sink_n x e^iomega_n t^* A sink_n x e^iomega_n t A^ sin^k_n x e^-iomega_n t e^iomega_n t A^ sin^k_n x As expected the probability density does not dep on time.
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quantum physics
Tags
energy level, probability density, stationary state
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(1, default)
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Language
ENG (English)
Type
Calculative / Quantity
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