Register to reply

Simple harmonic oscillators-Quantum mechanics

Share this thread:
Nov11-10, 04:01 PM
P: 59
1. The problem statement, all variables and given/known data
An ion in a harmonic ion trap sees a potential which is effectively that of a simple harmonic
oscillator. It has a natural oscillation frequency given by v = 1 MHz. Ignoring any internal
excitations, it is known to be in a superposition of the n = 0, 1 and 2 SHO energy states.
A measurement is then made and it is found to be in the n = 2 level.

a)What is the energy of the ion after the measurement has been made?

3. The attempt at a solution
Why is the answer E_n = (2n+1)/2 [tex]\hbar\omega[/tex]

I do not understand the (2n+1) / 2

Phys.Org News Partner Science news on
'Smart material' chin strap harvests energy from chewing
King Richard III died painfully on battlefield
Capturing ancient Maya sites from both a rat's and a 'bat's eye view'
Nov12-10, 11:53 AM
P: 602
The average energy in the nth state (or in the phonon picture: number of phonons in a mode associated with frequency [tex]\omega[/tex]) for a single harmonic oscillator is given by:

Register to reply

Related Discussions
Harmonic potential, quantum mechanics Advanced Physics Homework 10
Quantum harmonic oscillators - grand partition function Advanced Physics Homework 1
Coupled quantum harmonic oscillators Quantum Physics 0
Simple harmonic oscillators Introductory Physics Homework 1
Epsilon in Simple Harmonic Oscillators Introductory Physics Homework 4