HOLY *WOW*, THIS VIDEO IS INCREDIBLE!! I'm a mathematician not a physicist, and seeing an explanation that was this precise (love any excuse to use weird n-ary operators lol) yet this accessible was AMAZING! I found it hard to believe this is only your second video -- definitely subscribed and waiting for your third!!
This is the second night I’ve watched your video. Tonight I wrote it down after watching it. This is the best introduction to entanglement I’ve ever seen. Subscribed! Thanks. Keep making great videos like this.
a mathematician would probably use factorization to achieve symmetry, e.g. H²/span{|x¹²⟩ - |x²¹⟩} so basically "everything breaking symmetry" is treated as zero (you can achieve antisymmetry in the same way trading the minus sign for a plus sign)
Why do we use the tensor product instead of the direct sum of Hilbert spaces? In classical mechanics we have 3D euclidean space for the position of a particle, 2 particles will be 6D which is the direct sum for individual particles. The dimension doubles. If we take the tensor product, for 2 particles the dimension would be squared.
With your entanglement |up up>+|down down >, what if you don't quite collapse the component but put at your side a magnetic field so spin swaps? Breaking of entanglement or what's the eigenvalues like? Correlation is better, and this wibbly wobbly timey wimey stuff is sooo good.. 🥺😬😔 I'm a freak ok ok but you too 🤫 Nice animations and great explanation, hope you're going quantum Fock photon states, important stuff in that context
I have ever since been disappointed by the construction of the Fock space because there is no, ABSOLUTELY NO, physics involved. This is pure math. Everything you get out of this is what you put in, not more. Of course there is entanglement ... you put it in by tensor products. So what?
Life is good when there's an animated, dark background style video explaining the math/physics concept I'm learning.
Focking interesting
after finally figuring out what the fock space does, i have finally gotten a girlfriend! thanks, video!
this comment is a rare pearl i follow u for more
oh lawd he focking
HOLY *WOW*, THIS VIDEO IS INCREDIBLE!! I'm a mathematician not a physicist, and seeing an explanation that was this precise (love any excuse to use weird n-ary operators lol) yet this accessible was AMAZING! I found it hard to believe this is only your second video -- definitely subscribed and waiting for your third!!
Do you have a degree of freedom for dinner?
Fock space, that's where you....... oh this is a math video. 😂😜
This is the second night I’ve watched your video. Tonight I wrote it down after watching it. This is the best introduction to entanglement I’ve ever seen. Subscribed! Thanks. Keep making great videos like this.
Great video. I think you should continue with such great videos!
Interesting video 🎉🎉🎉
good stuff, keep it going!
great video thank you so much
you should certainly post an application video!
At first glance I saw "What the Fock is spsce" as I scrolled 😂
a mathematician would probably use factorization to achieve symmetry, e.g. H²/span{|x¹²⟩ - |x²¹⟩} so basically "everything breaking symmetry" is treated as zero (you can achieve antisymmetry in the same way trading the minus sign for a plus sign)
This is indeed how the exterior algebra and the symmetric algebra are usually defined, as a quotient
Poor Vladimir Fock.
In my quantum grad classes teacher emphasized "FOCKED electron photon states" 🤣
To answer your question, it's the fockin' place where the moon and mars is and shit...
Very clear !
do you have a video on banach space
Why do we use the tensor product instead of the direct sum of Hilbert spaces?
In classical mechanics we have 3D euclidean space for the position of a particle, 2 particles will be 6D which is the direct sum for individual particles. The dimension doubles.
If we take the tensor product, for 2 particles the dimension would be squared.
Great name.
Also known colloquially as a “love shack” 😅
With your entanglement |up up>+|down down >, what if you don't quite collapse the component but put at your side a magnetic field so spin swaps? Breaking of entanglement or what's the eigenvalues like?
Correlation is better, and this wibbly wobbly timey wimey stuff is sooo good.. 🥺😬😔 I'm a freak ok ok but you too 🤫
Nice animations and great explanation, hope you're going quantum Fock photon states, important stuff in that context
By order of the Peaky Fock-ing Blinders
We need new math.
Who made this for you?
Commonly known as a bedroom
What the Fock is a space?
Such a focking boson!
I have ever since been disappointed by the construction of the Fock space because there is no, ABSOLUTELY NO, physics involved. This is pure math. Everything you get out of this is what you put in, not more. Of course there is entanglement ... you put it in by tensor products. So what?
@@ImaybeNormal what does this comment mean?
Ignorant nonsense! Superposition is superstition.
I’m sorry but Its safe to assume that your brain has spent to much time in a vaccuum 😂….