How to Solve Schrödinger's Equation using Separation of Variables

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Blake Pi - Physics Videos

Blake Pi - Physics Videos

2 жыл бұрын

We solve Schrödinger's Equation using the separation of variables technique. This is a straightforward mathematical approach that begins with an assumption that the solution to the equation be of a product form. This allows one to separate variables, and obtain a solution to the temporally dependent component of the product solution via integration. Solution is found to be a complex inverse exponential!
Animations were made using the Python-based animation engine of 3Blue1Brown, Manim.
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#quantum
#quantumphysics
#quantummechanics
#schrodinger
#schrodingersequation
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#differentialequations
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#homogenous
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Пікірлер: 15
@janetterry6208
@janetterry6208 Жыл бұрын
love the quality, keep making more! im taking quantum this fall
@itzjuliaa916
@itzjuliaa916 2 жыл бұрын
I found this really useful!
@blakepi-physicsvideos3855
@blakepi-physicsvideos3855 2 жыл бұрын
Awesome! So glad this helped! 😃
@williamworthy4091
@williamworthy4091 2 жыл бұрын
Made it simple. Nice work
@blakepi-physicsvideos3855
@blakepi-physicsvideos3855 2 жыл бұрын
Thank you for your kind words!
@jessicamahoney1901
@jessicamahoney1901 2 жыл бұрын
This video is so helpful thanks! 🧪🧪
@blakepi-physicsvideos3855
@blakepi-physicsvideos3855 2 жыл бұрын
I'm glad this helped! 😃
@davidrandell2224
@davidrandell2224 Жыл бұрын
QM classicalized in 2010: Juliana Mortenson website Forgotten Physics uncovers the ‘hidden variables ‘ and constants and the bad math of Wien, Schrodinger, Heisenberg, Einstein, Debroglie,Planck,Bohr etc.
@shivamrastogi1156
@shivamrastogi1156 6 ай бұрын
What if one of the variables is constantly changing due to different speeds generating different amounts of energy within space
@nebby947
@nebby947 Жыл бұрын
4:08 nice video i am just curious as to why there isnt a constant on the left side of the equation when intergrating? thank you
@anguswu2685
@anguswu2685 Жыл бұрын
In case youre still wondering, we can technically give LHS a +C1 and RHS a +C2, then absorb C1 into C2 to make it just +C
@jaspalrawat8990
@jaspalrawat8990 Жыл бұрын
Can you understand schrodinger equation
@oosmanbeekawoo
@oosmanbeekawoo Жыл бұрын
Hehey! You remember somebody was telling you Manim is overkill for this video? Scratch that! I think Manim is aesthetic, coloured and hence guideful in presenting equations, compared to pen and paper. Coincidentally, it had a legitimate use in your graph. Anyway.. the last 30seconds, what is it and how do I do it?
@saulvillarados312
@saulvillarados312 2 жыл бұрын
@blakepi-physicsvideos3855
@blakepi-physicsvideos3855 2 жыл бұрын
Thanks for the nice comment! There's plenty more fun physics to come on this channel
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