Statistics in formalized quantum mechanics

The generalized statistical interpretation of quantum mechanics in a Hilbert space. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at • Carthage PHY4200 )

[@the-fantabulous-g]

16:40 the |f(q)|qdq should be (|f(q)|^2) qdq

[@puritybundi8204]

yes

[@philzz6634]

I suggest we discuss does "check your understanding " questions in the comment section.
Here I have
1. E1 = (3/5)^2 = 9/25, E2 = (4/5)^2 = 16/25, E3 = 0
2. = 1 (direct calculation...)
3. Clearly the answer is |c7|^2, with c7 the coefficient associated to g7 in the expression of the state of the system express in the basis given by this operator Q, although Im not sure how we are supposed to get an expression for c7.

[@manishsingh-vk8if]

Inner product of g7 with state of the system gives the corresponding coefficient c7. make sure to normalize your state first.

[@the-fantabulous-g]

Could someone please elaborate on where I should look into, in order to grab the coefficient c7? Thanks!

[@tedsheridan8725]

Where did the normalization constant come from at 18:20? I can solve the Eigenvalue problem easily enough, just not sure about the root(2*pi*hbar) in the denominator.

[@ghanashyamsharma8399]

Very helpful

[@Salmanul_]

3:20 why not ⟨f|ψ(q)⟩ instead of ⟨ψ(q)|f⟩?

[@JO-mg6xc]

Can anybody tell me why the probability is the wavefuction times conjugate wavefuction? Where does postulate three come from?

[@Dekoherence-ii8pw]

The probability density is the amplitude squared of the wave function. This is just the modulus squared of the wave function. And yes this is equal to the wave function multiplied by its conjugate.
This is called Born's Rule. It was formulated and published by German physicist Max Born in July, 1926.
It's a central tenet of quantum mechanics.

[@JO-mg6xc]

@@Dekoherence-ii8pw yes, but how did he arrive at it?

[@assemafanah8622]

hi >> thanks a lot for your lectures , they are very helpful .. but can u provide us with solutions to -check your understanding- so we can check our work :)

[@philandros3195]

If you've watched the previous videos, you're gonna see that people have asked about that for over a year, so don't expect it to happen unfortunately

[@Ahmedhamdy8]

Please i want the translation of this video

[@Dekoherence-ii8pw]

What language? Arabic? This video tells you how to get a video translated into any language:
ruclips.net/video/LZz03myFuWA/видео.html&ab_channel=FlippedClassroomTutorials