Register to reply 
HalfHarmonic Oscillator to FullHarmonic Potential 
Share this thread: 
#1
May2612, 05:06 AM

P: 1

1. The problem statement, all variables and given/known data
This problem was already answered: "I have to find the allowed energies of this potential: V(x)= (mω2^2)/2 for x>0 infinite for x<0 My suggestion is that all the oddnumbered energies (n = 1, 3, 5...) in the ordinary harmonic osc. potential are allowed since ψ(0)=0 in the corresponding wave functions and this is consistent with the fact that ψ(x) has to be 0 where the potential is infinite." now the new inquiry is that if the infinite potential is removed instantly. What is the probability of maintaining the same energy. 2. Relevant equations none given aside from the other post 3. The attempt at a solution my guess is that it shouldnt change because the odd solution is already part of the new solutions, thus it shouldnt switch. But im tempted to consider that there are twofold more states to go to so the probability of maintaining the state is 0.5 


#2
May2612, 05:31 PM

Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 11,670

Instead of guessing, why don't you calculate the probability?



Register to reply 
Related Discussions  
Rolling a half full water bottle and simple harmonic motion  General Physics  4  
State of Harmonic Oscillator with spin half...  Advanced Physics Homework  0  
Bound states for a half harmonic oscillator  Quantum Physics  2  
Halfharmonic oscillator potential  Advanced Physics Homework  4  
Half harmonic oscillator  Introductory Physics Homework  2 