In classical mechanics from Usted.
Having position X at time B and Momentum B, we can derive a dynamic variable or observable called kinetic
energy and you see the family of kinetic energy.
It's equal to be squared, divided by two M.
While in the case of quantum mechanics.
The state is safe and dynamic, variable could be kinetic energy, potential energy, angular momentum,
etc, etc..
Now, how can we derive these dynamic variables in quantum mechanics from, say, we use something called
as her mission operator?
Oh, her mission operator always has an eigenvalue, which is a real.
Oops.
Too much mathematics and lots of terminologies, don't worry, let me simplify.
First of all, what exactly is an operator and operator basically convert a Usted into a dynamic variable?
For example, if I take a fruit and I use a juicer, juicer can convert a fruit into a fruit juice.
So over here, a juicer is an operator.
In our case, in quantum mechanics, it could be a mathematical NDB.
Let's take an example.
So over here, you see there is a function called Y is equal to erase to power eight X.
Now, if I try and differentiate this function.
It becomes divide by X, equal to eight, multiplied by areas to the power X over here it is in eigenvalue
and divided X that is the differentiating entity is the commission operator.
Don't worry, guys, if you are not aware about differentiation, we'll check it out in four sections.
Josh.