Is there a connection between a particle's momentum and kinetic energy?

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SUMMARY

The discussion centers on the relationship between a particle's momentum and its kinetic energy, specifically referencing the de Broglie wavelength equation p = h/λ. Participants explore the interpretation of kinetic energy as E = hv/λ and draw parallels to the Schrödinger equation, E = ħω. The consensus confirms that these equations can be interpreted similarly, reinforcing the interconnectedness of momentum, kinetic energy, and wave properties in quantum mechanics.

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Black Integra
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We have seen this famous relation between particle's momentum and its wave length as
p=h/λ

Can we interpret its kinetic energy as E = hv/λ?

Anyway, there's very similar equation in Schrödinger equation that E= ħω
Can we interpret it the same way?
 
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