Effective potential and boundary conditions at r=0

MIT 8.04 Quantum Physics I, Spring 2016
View the complete course: ocw.mit.edu/8-0...
Instructor: Barton Zwiebach
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
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[@janakmedicos9735]

Effective potential. Effective range. And the barrier energy and boundaries conditions.

[@jimmyb998]

An unlucky choice, that m is both the mass (in terms like -h/^2/2m ) and the azimuthal quantum number (in Y_{ml});...

[@janakmedicos9735]

Effective potential.

[@not_amanullah]

Thanks ❤️🤍

[@janakmedicos9735]

Boundary value problems. Boundary conditions and effective range .

[@ronandominick221]

I realize I'm kinda off topic but does anyone know of a good site to watch newly released series online?

[@ericzion2025]

@Xzavier Roman yup, been watching on flixzone for since march myself :D

[@ronandominick221]

@Xzavier Roman thank you, I signed up and it seems like a nice service =) I appreciate it!

[@xzavierroman3949]

@Ronan Dominick glad I could help xD

[@xinzhang3017]

wow, 13k views at the end of the series

[@not_amanullah]

This is helpful ❤️🤍

[@zphuo]

@12:00, why right side of equation the Eu(r) = 0?

[@fabriziotabasso1694]

ZiPan Huo vi I guess that since U(r) was defined as U(r) = r Re(r) if r-->0 then U(r) also goes to zero

[@prasadpawar7027]

Because compared to centrifugal term RHS is puny as r--->0.

[@jiaqigan6398]

Imagine when r goes to zero, the effective potential goes to infinite large, then we can view it as a rigid boundary wall, which means that the wave function have to satisfy the boundary condition. Since this is a wave function in 3D and centered at r=0, then u(0) must be 0.

[@wondererasl]

@5:35 How come d^3 x = r^2 dr d omega

[@yyc3491]

in the polar coordinate system, dV = rsinθdφ · rdθ · dr = r^2 dr sinθ dθ dφ.

[@kelvinadimaswijaya9523]

volume element is r^2sintethadrdtethadphi

[@vinodkancherla4504]

Poor graph :)