Problem with normalisation, or should i say integration

spaghetti3451
Messages
1,311
Reaction score
31

Homework Statement



Consider the wave packet [itex]\psi(x)\equiv ψ(x, t = 0) = Ce^{i\omega x}e^{-\left|x\right|/2\Delta x}[/itex] where C is a normalisation constant.

Normalise [itex]\psi(x)[/itex] to unity.

Homework Equations



The Attempt at a Solution



I know the normalisation condition. My problem is when I have ...

[itex]\left|C\right|^{2}\int e^{-\left|x\right|/\Delta x} dx = 1[/itex]

Any help will be MUCH appreciated.
 
on Phys.org
failexam said:

Homework Statement



Consider the wave packet [itex]\psi(x)\equiv ψ(x, t = 0) = Ce^{i\omega x}e^{-\left|x\right|/2\Delta x}[/itex] where C is a normalisation constant.

Normalise [itex]\psi(x)[/itex] to unity.

Homework Equations



The Attempt at a Solution



I know the normalisation condition. My problem is when I have ...

[itex]\left|C\right|^{2}\int e^{-\left|x\right|/\Delta x} dx = 1[/itex]

Any help will be MUCH appreciated.


Say delta x=x-x0
 
Good thinking! But this makes the problem even harder . lolzz. because I have literally NO idea how to integrate such an expression!
 
failexam said:
Good thinking! But this makes the problem even harder . lolzz. because I have literally NO idea how to integrate such an expression!

Thank U! I just got lost like U did, but my professor gave this idea.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
6K
Replies
19
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K