In the last post, I mentioned about operator. Here is what I think what they should mean.
An operator acts on a function, gives another function, very much like a 'system' in a standard signal processing class do.
E is an operator, in particular, any scalar value is an operator, it acts on the function by multiplying with in and gives another function.
Partial differentiation is an operator, of course, by partial differentiating a function, we get another function as output.
Operators can be composed, for example, multiplying and then differentiating is another operator.
In the last post, all the equal signs, except the last one, equates operator to operator.
Why are we allowed to equates operator to operator? I think this is nothing but just a shorthand to skip writing the wave function on every line.
That's how I interpreted the video.
An operator acts on a function, gives another function, very much like a 'system' in a standard signal processing class do.
E is an operator, in particular, any scalar value is an operator, it acts on the function by multiplying with in and gives another function.
Partial differentiation is an operator, of course, by partial differentiating a function, we get another function as output.
Operators can be composed, for example, multiplying and then differentiating is another operator.
In the last post, all the equal signs, except the last one, equates operator to operator.
Why are we allowed to equates operator to operator? I think this is nothing but just a shorthand to skip writing the wave function on every line.
That's how I interpreted the video.
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