Solving 1D Schrödinger Equation [Part 2] Time Dependence of Solution (Imaginary Exponential)

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The method of separation of variables is used to solve the Schrödinger equation in 1D with a potential V(x) that has no time dependence. We turn 1 partial differential equation into 2 ordinary differential equations. The time dependent ODE is solved in this video, giving the exponential form of φ(t).

#Quantum
#Schrödinger
#Exponential

Konstantin Lakic
  1. Elucyda
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didn't watch all the parts of this series because I was just looking for a video solving the time dependent equation (lots of videos solving time independent) but I loved how you explained what you were doing with the infintesimals while rearranging and integrating. Very good teacher :)

nerdycatgamer
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Thanks for the playlist, you are a very good teacher

saadhassan
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Wow, excellent, this is where the funny "i" business comes from. Very pretty equations, very lucid video.

demneptune
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why can we assume that phi is different than 0 for all t ? (because you keep dividing by phi)

nathansmeyers
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Thank you, I had a hard time 'cause I forgot j(or i) was (-1)^(1/2)

mhsohn