Schrodingers equation for the hydrogen atom.

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SUMMARY

The discussion centers on the application of Schrödinger's equation to the hydrogen atom, specifically addressing the validity of the expression pt, where p represents a solution of the equation and t denotes time. It is established that while p is a valid solution, the product pt introduces an additional time dimension, rendering it dimensionally incorrect. Participants clarify the complexities of wavefunctions in quantum mechanics, emphasizing the importance of dimensional analysis in this context.

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lavster
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hi,

if p is a solution of the schrodingers equation for the hydrogen atom then is pt? (where t is the time and p is the known solution) i don't no how to do this due to the complexity of the wavefunction in the first place

thanks
 
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lavster said:
hi,

if p is a solution of the schrodingers equation for the hydrogen atom then is pt? (where t is the time and p is the known solution) i don't no how to do this due to the complexity of the wavefunction in the first place

thanks

If p is a solution, then it has the correct dimension. p*t would then have the wrong dimension, as there would be an extra time dimension.
 
ah that makes sense thanks!
 

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