Lecture - 5 Linear operations in a linear vector space and their eigenvalues

[@gevodem]

These first 5 lectures were a perfect review for anyone taking Linear Algebra and Real analysis!! Simply beautiful!

[@AnkitaSingh-ll4oh]

Sir, you are the best teacher of quantum mechanics ever ... Simply the best... Lots and lots of thanks for having these lectures available online

[@risijaiswal1]

This prof has explained quantum physics so simplicity with preliminary linear algebra background awesome :) Hat's off to you !!!

[@jasnabozicic1717]

"The room is adequately carpeted so I can push all this thing under it" LMAO

[@naimulhaq9626]

The best introduction into QM. It becomes easy to see how QM will remain illusive, and we will remain ignorant of divine design.

[@cheekujodhpur]

Everywhere else on the web, the same theories Krishnan Sir professes is written down in language far away from the understanding of a layman. But the lectures by this man are a great help to even a high school aspirant!

[@yogeeshreddy6373]

high school aspirant? You mean he's in middle school? Got to be really smart to understand QM in middle school, don't you think?

[@chahal6754]

😂

[@ayeshakawakil845]

Balki sir, I am working into Quantum computing only because of u, thank u.....love from Bihar

[@rmarinero]

Amazing lecture explained in a simple and clever way

[@megasharma1322]

Thank you sir for making quantum mechanics easy for me.

[@santoshh1685]

Thank you Professor for your marvelous lecture.....

[@vishal_on_yt]

What a teacher!! Hats off.

[@aashigupta8525]

In phase space we start with a fuzzy blob but that blob is not totally random, the use of Probability Or probability distribution Tanslate to physical reality, without probability theory and use of Hilbert space the blob will become truly random and then it will show true chaos The blob in hilbert space will evolve and at later time give second set of blob, so yes there will not be direct one to one correspondence between consecutive observation but still some finite correspondence can be attributed.

[@aashigupta8525]

So the use of Hilbert space and probability function , we are Restricting ourselves from true random chaotic nature

[@aashigupta8525]

The true randomness even beyond uncertainty principle comes from the actual description of what experiment or observation is? What is the definition of experiment?

[@sushilkaithal]

Sir you are the best faculty

[@jimshilleto5655]

One more question, sir. Understanding that the real numbers are just as much a construct as the complex numbers or other systems like for example the non standard real numbers, why does one only consider operators with real eigenvalues?

[@harikishorkothuri8040]

"The state of the system is not an observable by itself."🤔

[@jimshilleto5655]

Thank you, sir, for your wonderful lecture! I would like to know the thinking leading to the statement that the eigenvalues are the measurements. It seems odd to say this with no tangible evidence to support it. Anyone's insights are appreciated.

[@heady87]

Yes, towards the end of the classical physics course.

[@MrStrongegy]

awesome very very very excellent lecture :)

[@shyamswaroopk]

Could there be a state of the system where the eigen vectors of an operator form the o-n basis set and the coefficients of the basis vectors, when the state vector is expanded in this basis set, are also the original real eigen values of the operator?

[@aswathyr.s8865]

excellent lecture. Interesting

[@elamvaluthis7268]

Quantum mechanics uses classical mechanics rules only probability of the electron place and it's wave nature is derived through schorindinger equation and spin and angularmomentum of revolution classical mechanics rules are used notation is changed Bra ket like sans krit mantras to confuse students as foreign words as it is done in Sanskrit.

[@kathaganguly7645]

Is there any lecture of prof balakrishnan on electromagnetism

[@ananthasrao7600]

He gives a great lecture on summarising classical Electrodynamics here : kzbin.info/www/bejne/mKTck4Zrm796oLs

[@ochaiogbe1936]

there is a lecture this same prof. Balakrishnan gave where at the first 20 mins of the lecture, he explained why quantum mechanics doesn't appear intuitive to us. he explained that it is because we evolved in the middledimensions. can anyone give me a link to that?

[@tousifalam1681]

Go to his classical mechanics very first lecture

[@ochaiogbe1936]

@@tousifalam1681 thanks a lot

[@sandeeppatidar1106]

Amazing lecture

[@jatinnimawat2862]

When he says," means when the system is in the state psi it is actually is in phi." So does this means that the system is in 2 states(phi(n) and psi)

[@VaibhavSingh-dq9kr]

| phi > is one of the eigenstates of the | psi > for a given operator A. Actually, | psi> is linear combination of orthonormal basis set (states) | phi>. So, when we say < phi | psi >, what we actually mean is that how much of | psi > is along | phi > and < phi | psi > is the probability amplitude of that. And square of that probability amplitude gives the probability that the for a given state | psi > is in eigenstate | phi >.

[@powerentertainment719]

@@VaibhavSingh-dq9kr what is prerequisite for this lecture?

[@VaibhavSingh-dq9kr]

@@powerentertainment719 for this particular course, i would say linear algebra is a must although he covers a bit in early lectures but that's not sufficient if you are new to linear algebra. Also know your classical physics, especially electrodynamics. Don't take this as your first course in QM. After you have done a more basic course in QM in your college, then come to it, you will be blown away. These lectures provide outstanding insights and fill the gaps in your understanding.

[@powerentertainment719]

@@VaibhavSingh-dq9kr thank you bro 👌 , my college they don't teach anything at all actually 😂am all by myself.

[@Jashann16]

is there any lecture by prof Balakrishnan on special relativity?

[@paul_anthony_cameron]

Yes, they can be found in his "Classical Physics" Course.

[@abhi99ps]

At 1.00.00, it is explained that |c_n|^2 is probability. However, is there any logical reasoning behind this postulate or is it just an empirical fact,

[@kenneywot]

very difficult to listen lecture 5 Quantum mechanics, please upload it properly

[@Sajee32]

why you guys are giving video quality of 240p. try to make it atleast 460p

[@nehalamba2747]

it's an 11 year old video. Professor himself has retired long way back. please be considerate that it is at least provided. of course present videos of nptel are good in quality.

[@Sajee32]

@@nehalamba2747 . I didn't know that. Really sorry for that

[@frisknikki]

30 min to 36 min.....wow explained things

[@Rohan_Choudhary5]

Absolutely true 🙏.He is an extreme level professor .I can only dream to have such brilliant professor in my college.😭

[@bhautikdevaliya5954]

Is it complete lecture ? Yaa some part of a lecture ?

[@hameedpkr]

good...... bt i can't download the video for offline use?

[@sourav777]

yea

[@ayushjambhulkar]

Is anyone able to provide notes of these lectures?

[@Ashley_black-h3r]

Hi bro I am also learning now

[@frankieli98]

what do you call sequences that have finite norm? I missed that

[@PhysicsMath]

finite

[@VaibhavSingh-dq9kr]

l2

[@Dr.HazharGhaderi]

@bluesrunthegame lol. well almost :)

[@RianoKan]

Reminds me of an Indian Frank Langella.

[@digital111x]

I think he forgot to add that n = m + 1, or vice versa. of course if n = m then z_n - z_m is always = 0

[@yogeeshreddy6373]

wtf? XD

[@elamvaluthis7268]

Yeh Tamil word .nodding head.Erusan Sori Muthu Ayyanar Tamil country God's name changed as Erwin schorindinger so Tamil country God's worship one should do to become scientist as English people did.At the same time who keeps Sanskrit god's name can't be best scientist Sanskrit names are fake so they will become un famous fake scientist.