Bra Ket Notation | Quantum Mechanics

▶ Topics ◀
Bra Ket Notation, Vector Spaces, Orthogonal Basis Systems

00:00 Vectors Reimagined
00:29 Bra-States
00:44 Introducing a Basis for the Inner Product
00:55 Example

▶ Social Media ◀
[Instagram] @prettymuchvideo

▶ Music ◀
TheFatRat - Fly Away feat. Anjulie

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[tehfilaminer]

straight to the point. informative. GREAT VID <3

[joewang]

It is orthonormal basis instead of orthogonal basis so that the inner product of any basis with itself is 1, thus <bi|bj>=Kronecker delta(ij)
Orthonormal means orthogonal and normalized

[kingburger]

Thanks a lot for your videos. The density state video was very helpful to get an overview for free electrons in metals for my solid states physics course.

[mohamed]

I love your videos man, but could you make the slides move a bit slower so i can comprehend what i see lol

[sebastianmonsalvo]

These explanations are perfect lol. Literally my homework makes sense now bc of you, thanks!!!

[texanplayer]

I could have saved 4 hours of my life listening to you instead of my physics professor...

[cm]

Hey is it a coincidence that <v|w> is the complex conjugate of <w|v> or is that always true for any vectors v and w?

[jeffreyluciana]

I didn't know quantum problems traveled at the speed of light

[coffeedotbean]

I have a silly question. If a ket is defined in Hilbert space, is the bra vector corresponding to the ket vector in the same Hilbert space? If so, what is the difference between an bra and a ket space. Are they like subsets of the Hilbert space?

[Graham_Wideman]

Arrrg, not another Bra Key explanation that glosses over a key point! In the slide around 0:25 it looks like ket |v> is simply a different notation for v-arrow. But then on the slide at 1:06, somehow |1> and |2> etc are basis vectors, where there's not explanation what a "2 vector" would be, that is a 2 with an arrow over it. I see that the "2" in "|2>" apparently picks out the unit vector in the 2nd dimension, but I have no idea by what lexical or syntactic rule that happens, nor how it makes sense relative to what was described back at 0:25.

[clasherstime]

It was use ful but it could be more useful and understandable if you could just slowly dilever with a little bit of more detail I have been teachin quantum mechanics for 13 years and know how the student pick these topics about quantum mechanics

[docu]

I like the old musics more, this is a bit distracting :D

[HhHh-vyvz]

How can I multiply a ket-bra??
Something like |a><b|

[matrixate]

This was rushed and missing real instruction. I'm sure this is not how you were taught this. I'm not sure what motivated you to make a cryptic video about this.

[alphacentauri]

not a very simple topic, but you speak so fast that no one understands anything anymore.