Time independent Schrödinger equation

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SUMMARY

The time independent Schrödinger equation should utilize the differentiating 'd' when the wave function, denoted as psi (ψ), contains a single variable, such as x. In scenarios where psi encompasses multiple variables, the appropriate notation is the curly 'δ' (partial derivative). This distinction is crucial for accurately representing the mathematical formulation of quantum mechanics, particularly in the context of a one-dimensional infinite potential well.

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  • Understanding of quantum mechanics principles
  • Familiarity with the Schrödinger equation
  • Knowledge of differentiation in calculus
  • Basic concepts of wave functions and their variables
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  • Study the derivation of the time independent Schrödinger equation
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Depends on how many variable will psi contain. If 1, call it x, then it's a d, if more than 1, then it's a \partial.
 
dextercioby said:
Depends on how many variable will psi contain. If 1, call it x, then it's a d, if more than 1, then it's a \partial.

Thanks for that!

The question I am working with relates to a 1 dimensional infinite well.

Therefore in this case it would appear to be just 'd' then.

Thanks again!
 

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