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


by michael2k100
Tags: energy, frist, ground, order, perturbation, state, theory
michael2k100
michael2k100 is offline
#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
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes

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