00:01
Hi, in the question we are given time dependent schrodinger equation which is ih cut do si by do t is equal to minus h cut square by 2m, do square by do x square plus v si.
00:13
Here, si is the wave function which is dependent on the position x and time t, h cut is the plank's constant, m is the mass of electron.
00:23
So let us see the properties of wave function si.
00:31
From si we will get all measurable information and also si should be continuous single valued.
01:00
Shrhod into equation is a linear partial differential equation that governs the wave function of a quantum mechanical system.
01:24
In the first part of the question we are asked whether this equation is linear.
01:30
The answer to that part is yes, the equation is linear.
01:45
In the second part, we are asked whether it is a homogeneous equation.
01:51
The answer is yes, it is a homogeneous equation which can be solved exactly...