Math Is Fun Forum

Identity

Member

Registered: 2007-04-18

Posts: 934

Normalize

Can someone help me normalise the function

Where

are positive real constants.

The condition for normalisation is

thanks

EDIT: Actually I think I *might* have gotten it, but I think my reasoning is pretty shoddy, can someone check it?

Last edited by Identity (2009-11-22 13:00:08)

betterthangauss

Member

Registered: 2009-10-31

Posts: 11

Re: Normalize

You got the right answer, but

must be real.

Note that

is on the unit circle when

are real, so it has absolute value 1.

Therefore,

Set

so

and

so

to get

Therefore,

and thus,

is normalized

Last edited by betterthangauss (2009-11-22 18:23:31)

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Normalize

I’m getting a picture of probability density function in quantum mechanics here.