00:01
Hi, the wave function of an infinite well is psi n of x is equal to square root of 2 by a sine n pi x by a.
00:15
By putting the value of n is equal to 1 you will get the ground state wave function si of x is equal to root of 2 by a sine pi x divided by a in the first part of the question, let's see whether this wave function is an eigen function of an operator, which is the momentum operator p.
00:38
So the momentum operator p of p of si of x is defined as minus high edge cut, though psi, though x, so is a function of x.
00:50
And also, if we have to say a wave function si of x is an eigen function of some operator a cap, then it should satisfy the condition.
01:00
Operator a acting on wave function si of x should give small letter a which is the eigenvalue into the wave function si of x.
01:12
So let us see how momentum operates on si of x.
01:16
So momentum operator p si of x is equal to minus i .h cut do by do x of wave function si of x is root of 2 by a sine x divided by a on solve...