@Andalfe Agreed. I cringe every time I hear "Michael"'s whiny voice with yet another trivial observation or nonsensical question. And he's with us all the way through the field theory lectures...
Call me nuts but I do not care for his lecturing style. It is somewhat disorganized and more abstract than it needs to be. Would prefer if he did some applied problems to tie the lecture to reality.
"Today, a young man on acid realized that all matter is merely energy condensed to a slow vibration — that we are all one consciousness experiencing itself subjectively." ... "Here's Tom with the weather"
He says that the Hermitian operators have a complete set of orthogonal eigenvectors, and that this definition is equivalent to the one saying that it must be equal to its conjugate transpose. But what about, for example, a matrix with a "1" in the top left corner and "0" elsewhere. This satisfies one of the criteria but not the other. I think that he needs to add something like "invertible" also to his definition. Why do people in the lecture only ask dumb questions :(
@jamma246 The matrix you describe does indeed have a complete set of orthogonal eigenvectors; the second one can be the [0 1] vector with eigenvalue zero. Of course, you could also pick [0 -1], and that would work equally well. The basis exists, but that doesn't necessarily mean it is unique.
He is really focused on the basic conceptual ideas. What is a state, what is a pure or prepared state? What is an observable? What is the expected value (average value) of a measurement. But, is the average value really an "expected value"? Well the average value may deviate from any possible measurement value (the average value for flipping coins (+1,-1) is zero, but zero is not a possible observable value) In this case the average value is not an expected outcome, otherwise it is...
These lectures are the greatest! I couldn't find any sources on modern physics until I found your SR series. If I win any prizes in the future, I'll be sure to acknowledge you.
Dear friends, as you all must be knowing that the magnitude of electric field vector is constant in Circular polarized light, can anybody of you tell how does physically rotating linear polarized light source ensure the above condition??? So, i think it is not possible to obtain a circular polarized light the way "wawens" has suggested (as linear polarized light source will give e. field with varying magnitude). we can discuss further, i may not be correct..
If I were to physically rotate my linear polarized light source would I then obtain an equivalent circular polarized photon stream in the same way as an ordinary cicular polarized source?
Well, I think it would be almost impossible to rotate a linear polarized light source manually to match the speed of which ordinary circular polarized light rotates, the angular frequency of circular polarized light is too high. Angular frequency is the speed of light times the wavenumber: w=c*k, this is a very big number.^^
That's an interesting question. Rotating the source (=the electrons of the source) gives unpolarized light with each photon remaining linearly polarized. I think that even if we could manage to rotate the source at the frequency of the emitted light, the individual photons would still be linearly polarized. But at that frequency the emission profile of the electrons of the source wouldn't be the same.
brilliant video
samjenkinssam 1 week ago
More like the Einstein of the modern world.
grunder20 2 months ago
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wangfeijia 3 months ago
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wangfeijia 3 months ago
" Is analytical reduction of states analogous to this?"
Some of these questions people ask honestly jesus wept
Andalfe 6 months ago
@Andalfe Agreed. I cringe every time I hear "Michael"'s whiny voice with yet another trivial observation or nonsensical question. And he's with us all the way through the field theory lectures...
qftftw 3 months ago
Comment removed
Andalfe 6 months ago
Call me nuts but I do not care for his lecturing style. It is somewhat disorganized and more abstract than it needs to be. Would prefer if he did some applied problems to tie the lecture to reality.
dirac17 7 months ago
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"Today, a young man on acid realized that all matter is merely energy condensed to a slow vibration — that we are all one consciousness experiencing itself subjectively." ... "Here's Tom with the weather"
sn1pe352 7 months ago
He says that the Hermitian operators have a complete set of orthogonal eigenvectors, and that this definition is equivalent to the one saying that it must be equal to its conjugate transpose. But what about, for example, a matrix with a "1" in the top left corner and "0" elsewhere. This satisfies one of the criteria but not the other. I think that he needs to add something like "invertible" also to his definition. Why do people in the lecture only ask dumb questions :(
jamma246 10 months ago
@jamma246 The matrix you describe does indeed have a complete set of orthogonal eigenvectors; the second one can be the [0 1] vector with eigenvalue zero. Of course, you could also pick [0 -1], and that would work equally well. The basis exists, but that doesn't necessarily mean it is unique.
MrHenshin 9 months ago
@MrHenshin Ah, never though about it like that before, thanks. So the zero matrix is Hermitian xD
jamma246 9 months ago
He is really focused on the basic conceptual ideas. What is a state, what is a pure or prepared state? What is an observable? What is the expected value (average value) of a measurement. But, is the average value really an "expected value"? Well the average value may deviate from any possible measurement value (the average value for flipping coins (+1,-1) is zero, but zero is not a possible observable value) In this case the average value is not an expected outcome, otherwise it is...
bhigr 1 year ago
These lectures are the greatest! I couldn't find any sources on modern physics until I found your SR series. If I win any prizes in the future, I'll be sure to acknowledge you.
airwanifs 1 year ago
i wish i had a brain like his......even though i dont get it it fasinates me
xXTaNodel408Xx 1 year ago
these lectures are better than james cameron and steven spielberg put together
ravaabyee 2 years ago 16
Professor Susskind suggested that a course in quantum field theory would follow. What happened to it?
luzzie9 2 years ago
I may be loco, but I enjoy these lectures more than recent blockbusters...
foketesz 2 years ago 5
@wawens
@Mazmatickz
@ArjenDijksman
Dear friends, as you all must be knowing that the magnitude of electric field vector is constant in Circular polarized light, can anybody of you tell how does physically rotating linear polarized light source ensure the above condition??? So, i think it is not possible to obtain a circular polarized light the way "wawens" has suggested (as linear polarized light source will give e. field with varying magnitude). we can discuss further, i may not be correct..
AmanAttitude 2 years ago
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GEEKS ! ! ;-)
mosswalker2 2 years ago
@mosswalker2 Dumbo! :P
loopantenna 9 months ago
maybe all us youtube viewers should club together to buy Prof Susskind a bunch of pens??
cursorminer 2 years ago 38
lol i'm up for that....we should like post it to him and write down...."from your faithful you tube physicists" !!!
listminusv 2 years ago
Excellent video. Thanks.
If I were to physically rotate my linear polarized light source would I then obtain an equivalent circular polarized photon stream in the same way as an ordinary cicular polarized source?
wawens 3 years ago
Well, I think it would be almost impossible to rotate a linear polarized light source manually to match the speed of which ordinary circular polarized light rotates, the angular frequency of circular polarized light is too high. Angular frequency is the speed of light times the wavenumber: w=c*k, this is a very big number.^^
Mazmatickz 3 years ago
That's an interesting question. Rotating the source (=the electrons of the source) gives unpolarized light with each photon remaining linearly polarized. I think that even if we could manage to rotate the source at the frequency of the emitted light, the individual photons would still be linearly polarized. But at that frequency the emission profile of the electrons of the source wouldn't be the same.
ArjenDijksman 3 years ago
excellent as always:):)
mrbondisback 3 years ago