Recent content by Kyueong-Hwang

In picture, there is crystal structure with two atoms. Question is, what is the lattice points? Find a set of lattice points. I think green and pink points are both lattice points. Am i right? This is our full hw.

ah your right. my fault. is there any way to make this eq more clear? next question is to make hamiltonian and find Schrodinger eq. It may should be more clear.

alright thanks 1, at latex q&a page i miss d notation so i use partial 2. \dot \vec x isn't work so i think x_i does too

if ##x_i## is a axis of 3-dim cartesian coordinate two ##f \left( \vec x \right)## terms yield ##\vec \nabla \times \vec f \left(\vec x \right)## But there is no such statement assure that ##x_i## is 3-dim cartesian coordinate. And someone in this forum site says in higher than 3 dimension curl...

$$ \frac {\partial \mathfrak {L}} {\partial x_i} =\frac {\partial \vec x} {\partial t} \cdot \partial x_i \vec f \left(\vec x \right) - \partial x_i V \left(\vec x \right)$$ $$ \frac {\partial} {\partial t} \left(\frac {\partial \mathfrak {L}} {\frac {\partial x_i} {\partial t}} \right)= m \ddot...

Homework Statement specific lagrangian is defined. Have to get a equation of motion Homework Equations [/B] Lagrangian is defined as The Attempt at a Solution [/B] eq of motion that i drive like i guess term of f(x) have to vanish or form a shape of curl. but it didn't be clear...