Register to reply

Using frist order perturbation theory to the the energy change in the ground state

by michael2k100
Tags: energy, frist, ground, order, perturbation, state, theory
Share this thread:
michael2k100
#1
Apr29-10, 08:20 AM
P: 7
A particle is in the ground state in a one-dimensional box given by the potential

v(x)= 0 for 0<x<a
v(x)= inifinity other wise

A small perturbation V = V(0)x/a is now introduced. Show, correct to first order in perturbation theory, hat the energy change in the ground state is V(0)/2

the normalised wavefuctions of v(x) are PHi(n)=(sqrt(2/a))sin(n(pi)x/a)


i have looked up what i can on perturbation theory, and i can't get to doing this question,

if anyone could give me a few pointers on what to do and where to start, that would be great.
Phys.Org News Partner Science news on Phys.org
Physical constant is constant even in strong gravitational fields
Montreal VR headset team turns to crowdfunding for Totem
Researchers study vital 'on/off switches' that control when bacteria turn deadly

Register to reply

Related Discussions
First order perturbation theory Advanced Physics Homework 1
QM 1st order perturbation theory Quantum Physics 0
QM 1st order perturbation theory Advanced Physics Homework 0
First order perturbation theory, quantum physics Advanced Physics Homework 2
Probability in first order time-dependent perturbation theory Advanced Physics Homework 1