What is a value of psi* for a particle in 1D box stationary state?

1. Feb 13, 2005

ohhhnooo

I know that psi is equal to (2/a)^1/2 sin(n pi x/a)? what is psi*?

2. Feb 13, 2005

dextercioby

Complex conjugate of "psi"...In your case,it's identical to "psi"...

Daniel.

3. Feb 13, 2005

Gokul43201

Staff Emeritus
How is $\psi^*$ defined ? Or simpler still, what does the * do ?

4. Feb 14, 2005

Staff: Mentor

Actually, including the time dependence, it's

$$\Psi(x,t) = \sqrt {\frac {2} {a}} \sin \left (n \pi \frac {x} {a} \right ) \exp \left (-i \frac {E_n} {\hbar} t \right )$$

so the complex conjugate is

$$\Psi^*(x,t) = \sqrt {\frac {2} {a}} \sin \left (n \pi \frac {x} {a} \right ) \exp \left (i \frac {E_n} {\hbar} t \right )$$

The complex conjugate means simply, change i to -i (and -i to i) everywhere.

Last edited: Feb 14, 2005
5. Feb 14, 2005

dextercioby

In that case,he (probably) would have spelled "Psi"...He didn't intend to include the time dependence...

Daniel.