Solving Hermitical Operator Homework Questions

[Tegalad]

Homework Statement

Homework Equations

The Attempt at a Solution

Should I do this

or I can just simplify it like this

?
And also what would the integral of f(r) equal to at -inf<r<0?

 

[TSny]

$\int_{0}^{\infty} \psi^*i\frac{\partial}{\partial r} r^2 \varphi dr$

The range of $r$ is $0$ to $\infty$. For your first step, you might try an integration by parts.

 

[Tegalad]

$\int_{0}^{\infty} \psi^*i\frac{\partial}{\partial r} r^2 \varphi dr$

The range of $r$ is $0$ to $\infty$. For your first step, you might try an integration by parts.

Thank you very much!

 

[Tegalad]

$\int_{0}^{\infty} \psi^*i\frac{\partial}{\partial r} r^2 \varphi dr$

The range of $r$ is $0$ to $\infty$. For your first step, you might try an integration by parts.

I get that the answer is https://imgur.com/OdTtc5D Is it correct?

 

[TSny]

Yes, I think that's correct.