Schrodinger Equation - Step wise Derivation Part 2/3

[bhigr]

This is more like a motivation of the schrödinger equation. Schrödinger derived it by analogy to the theory of electromagnetic waves. Please notice that at certain limits (high frequencies) light appears to behave like a particle - almost no diffraction is visible; geometric optics is the name. Schrödinger thought that the relation between classical mechanics and quantum mechanics should be analogous to the relation between geometric and wave optics. This is how he got the idea.

[vaibhav1803]

this "derivation" is not justified..i could have differentiated twice in time a ended up with classical wavefunction

[vellamike]

Hi, I'd appreciate some physical reasoning eg why did schrodinger choose a plane wave equation and why are the substitutions made justifiable etc.

[vaibhav1803]

schrodingers great insight was to look at the electron as a matter wave around the nucleus..u connort consider the electron to have a spherical wavefront...so you chose a complex plane wave.....

[vaibhav1803]

since u observe the particle wave from a LARGE DISTANCE..the spherical wavwfront of the particle...approximates to a plane wave..

[vaibhav1803]

schrodinger didnt derive it dis way...his was something 2 do with statistical mechanics..

[TheAntiVigilante]

@vaibhav1803 that was planck

[mottiain]

Hi again,

Everything seems okay now.

Many thanks again. A You-tube fault - or my computer. Who knows!

Respect.

[mottiain]

Hi there,

I was very glad to see Video 1 of this series of 3, but part 2 seems comes up with the message that this video is no longer available. I would be very grateful indeed if you could look at this. Video 3 still works fine.

I don't know if you have seen the nptel videos, but they are very good. Anyway, I hope all is well and thank you for your time.

Best regards,

Iain.

[Intraspector]

Thanks for making these lectures. Very Interesting! (computer science student , Canada)