# Derivation of Time Dependent Schrodinger Equation

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1. Jun 21, 2015

### Peter Yu

Hi All,
I have problem in understanding one step in the derivation of the time dependent Schrodinger Equation. Please see attached file page 2 (marked in red). Most grateful if someone can help!
Peter Yu
(This is from Quantum Mechanics The Theoretical Minimum Page 99-102)

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• ###### Derviation of Time Dependent Schrodinger Equation.pdf
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2. Jun 21, 2015

### ShayanJ

$(I+i\epsilon H^\dagger)(I-i\epsilon H)=I \Rightarrow I-i\epsilon H+i\epsilon H^\dagger +\epsilon^2H^\dagger H =I \Rightarrow -i\epsilon H+i\epsilon H^\dagger +\epsilon^2H^\dagger H =0$
Now if you ignore the $\epsilon^2$ term and divide by $i\epsilon$, you get what you're after.

3. Jun 21, 2015

### Peter Yu

Hi Shyan,
Many Many thank for your help!!
Regards,
Peter Yu