Register to reply

Total ground state energy of N fermions in a 3D box

by kamaln
Tags: energy, fermions, ground, state
Share this thread:
kamaln
#1
Oct24-10, 03:28 PM
P: 1
Hello everybody, I just have no idea how to start this problem so i was hoping you guys would point me in the right direction and then i'll be able to go on by myself


the problem asks to show that the total ground state energy of N fermions in a three dimensional box is given by E total = 3/5*N*(E fermi)



some relevant equations to this are:
D(E)dE=2(1/8)4pi*r^2 dr

N=[V(2m(E fermi))^(3/2)] / [3*(hbar^3)pi^2]

E fermi = [(hbar^2)/2m]*[(3pi^2*N)/V]^2/3

I don't have any attempt at a solution because i don't know how to begin proving that E total = 3/5*N*(E fermi). Thanks in advance for any help that I get.
Phys.Org News Partner Science news on Phys.org
Sapphire talk enlivens guesswork over iPhone 6
Geneticists offer clues to better rice, tomato crops
UConn makes 3-D copies of antique instrument parts

Register to reply

Related Discussions
Ground-state energy of fermions Advanced Physics Homework 2
Can a ground state energy be negative? Advanced Physics Homework 1
Ground State and Energy Introductory Physics Homework 3
Ground state of Hamiltonian describing fermions Advanced Physics Homework 8
Ground state energy Biology, Chemistry & Other Homework 5