QM Integral and Online Integral Tables

• Jan 17, 2005

• #1

longbusy

19

0

Hello, I am hung up on an integral from Quantum Mechanics. I searched on Yahoo and Google for online integral tables, but failed to discover anything beyond very basic tables. The integral is as follows:

\int_{-\infty}^{\infty} \(A*e^{-(x-a)^2} dx

Are there any decent online integral tables that are accessible to just anyone? I found some online databases but quickly found out that I had to subscribe.

Thank You,
Jeremy

 

Last edited: Jan 17, 2005

• Jan 17, 2005

• #2

cronxeh

Gold Member

1,004

11

Is A just a constant or a matrix?

 

• Jan 17, 2005

• #3

dextercioby

Science Advisor

Insights Author

13,390

4,046

cronxeh said:

Is A just a constant or a matrix?

The appropriate question would have bee:is A "x" dependent or not?


Daniel.

 

• Jan 17, 2005

• #4

longbusy

19

0

Oops, sorry, A is a constant. It is not dependent upon x. I could have just left that out.

 

• Jan 17, 2005

• #5

dextercioby

Science Advisor

Insights Author

13,390

4,046

In that case,it can be reduced (by a simple substitution) to a Poisson integral which is doable appling the thoerem of Fubini and polar plane coordinates...

Daniel.

 

• Jan 17, 2005

• #6

Crosson

1,256

4

What he means is, square the integral and transform to polar coordinates, then use u-substitution (inverse chain rule) to solve an easy integral, take the square root of the result.

As a side note, it is impossible to find an antiderivative for your integral. No antiderivative exits (in terms of familiar functions).

As a side-side note, if a = 0 and A = 1, the answer is sqrt(pi)