Probabilitry of finding particle between

  • Thread starter Thread starter leonne
  • Start date Start date
  • Tags Tags
    Particle
Click For Summary
SUMMARY

The discussion focuses on calculating the probability of finding a particle between x=2.0 and x=2.1 Angstroms using the wavefunction \(\Psi = Axe^{-kx}\) with \(k = 0.5\). The user initially calculated the normalization constant \(A\) as \(2k^{3/2}\) and attempted to integrate the probability density \(P = \int \Psi^2\) over the specified range. The user reported an initial probability of 0.1005, while the correct probability is 0.0271, indicating a potential error in the integration process.

PREREQUISITES
  • Understanding of quantum mechanics wavefunctions
  • Familiarity with integration techniques in calculus
  • Knowledge of probability density functions
  • Experience with normalization of wavefunctions
NEXT STEPS
  • Review quantum mechanics principles related to wavefunctions and probability densities
  • Practice integration of exponential functions in calculus
  • Learn about normalization constants in quantum mechanics
  • Explore examples of probability calculations for different wavefunctions
USEFUL FOR

Students studying quantum mechanics, physicists working with wavefunctions, and anyone involved in particle probability calculations.

leonne
Messages
163
Reaction score
0
Probabilitry of finding particle between...

Homework Statement


A particle with some potential has a wavefunction of [itex]\Psi[/itex]=Axe-kx(from 0 to infinity) if k=.5 what is the prob of finding particle between x=2.0 and 2.1 Angstrom.


Homework Equations


P=[itex]\int[/itex] [itex]\Psi[/itex]2


The Attempt at a Solution


I already found what A= in a different problem its 2k3/2
So i thought i would just plug in for A and do the integration from 2 to 2.1. Thats what some example did. i get like .1005 but the answer is .0271.

thanks
 
Physics news on Phys.org


you might want to re-check your math because I used your method and got the correct answer
 


o ok thanks
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
2K
Replies
16
Views
3K
Replies
16
Views
3K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
12
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
2
Views
2K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 19 ·
Replies
19
Views
4K