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

ohhhnooo

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

dextercioby

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

Daniel.

Gokul43201

How is [itex]\psi^*[/itex] defined ? Or simpler still, what does the * do ?

jtbell

Actually, including the time dependence, it's

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

so the complex conjugate is

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

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

dextercioby

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

Daniel.