Dirac notation

[albertliu]

Check your understanding:

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1: H applies on the right state |ψm>, and return Em|ψm>. Em is just and number and get outside of the braket. So Hnm = Em<ψn|ψm>

2: Hnm is a diagonal matrix with values E1, E2...En on its diagonal line.

3: a+|ψm> and returns 1*|ψm+1>. a+nm = <ψn|ψm+1>.

4: a+nm is a off-diagonal matrix with values 1, 1, 1, 1, 1.... on the line just below the diagonal line.

[AlejandroPerez-ifmc]

Hey buddy, your channel is very good, very helpful for getting all this concepts altogether, some of us really need it. U beat Susskind's course in clarity and content by far.

[PatiparnPojanart]

Thank you very much.
I could not belive myself that I can finish all of your clips in this channel successfully.
My knowledge about Quantum mechanics and High level of mathematics have rapidly evolve. (So, I have many states of energy🤣)
And from now on, I decided to learn master and doctoral degree in the near future.

[ethangraybrook-paul]

Fantastic video, had 3 or 4 different concepts all click for me

[solsticetwo]

At 13:30, a_n are complex numbers, not vectors; and Q_mn are matrix elements

[mgchevelle]

these videos are very helpful. thank you

[natpakistan]

Sir please can you tell me that how you made these videos I mean which setup you use. I pad, mobile phone and which kind of note software you uses. These hand written videos are really beautiful and i also want to make like these video so please tell me.

[guitarwnz]

Saving my damn life man, love these videos

[wajihazia]

what is the difference between eigenstate and eigenfunction? it is used interchangeably in the Griffith's book

[fernandajb]

Susskind's is not very organized as Brant is...Also, he lacks patient