Thank you for your excellent teaching, Prof. Reader. At around 8:21, it mentioned the first term is particle kinetic energy. I don't quite understand it, can you help explain further or help provide a reference to understand it? Thank you. (P. S. if the equation is like (Kphi(x)+Uphi(x)=Ephi(x), then I can understand, but here the first term has a 2nd derivative)
Thanks again for all your feedback! That first term at around the time stamp you mention arises from the definition given at 6 mins 44 seconds, where kinetic energy is 0.5 * mass * velocity squared = momentum squared / (2*mass). I could (one day) consider doing a video on explaining that. In quantum mechanics, momentum relates to the first spatial derivative of a wavefunction, and hence applying that operator twice is where the 2nd derivative comes from. Just a rough start at trying to answer your query...
Very elegant and clear presentation.
Thank you very much for your generosity.
Thank you very much for your feedback, much appreciated!
This is probably the simplest and most straightforward derivation of the Schrodinger equation I've seen! Good job!
Many thanks for your feedback!
But really, the Schroedinger equation can't be derived.
Thank you for your excellent teaching, Prof. Reader. At around 8:21, it mentioned the first term is particle kinetic energy. I don't quite understand it, can you help explain further or help provide a reference to understand it? Thank you. (P. S. if the equation is like (Kphi(x)+Uphi(x)=Ephi(x), then I can understand, but here the first term has a 2nd derivative)
Thanks again for all your feedback! That first term at around the time stamp you mention arises from the definition given at 6 mins 44 seconds, where kinetic energy is 0.5 * mass * velocity squared = momentum squared / (2*mass). I could (one day) consider doing a video on explaining that. In quantum mechanics, momentum relates to the first spatial derivative of a wavefunction, and hence applying that operator twice is where the 2nd derivative comes from. Just a rough start at trying to answer your query...
amazing. loved that. thank you very much sir! obliged
Thanks for the feedback, appreciated!
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