I am a prof in Japan. He is very nice teacher indeed. I like his lectures just for inspiration!

teacher who really listen questions of students carefully and patiently. this man himself a true definition of TEACHER. Respect and lots of love

I watched around 20 lectures of this series and found out that the best book to go with the course is none other than Volume 3 Feynman lectures. Balakrishnan has the mathematical rigour and Feynman has the physical insight. The combination rocks.

I remember these blowing my mind 11 years ago (we had an incredible Quantum Mech prof in Dr. Abhinav Gupta, but we unfortunately couldn’t rewind his lectures).

He is a very good Mathematician! His lectures on Quantum Mechanics are awesome!

I wish I have professor like you during my degree so that i m not preparing for banking exams

For those having slight issues with duals, dual of a vector space is the set of all linear forms of the vector space, where a linear form of the space is a mapping of all unique elements of the space to a single element from a set of scalars. Thus the set of all linear forms as in transforms/ mappings is the dual of the vector space. Now since linear transforms can always be represented by vectors or matrices, thus the transpose of a row vector is in itself a linear form of the vector as it maps it to a scalar. Thus sir refers to the transpose as an element of the dual of the linear vector space. Great lecture, I return to freshen memory every now and again, truly a treasure.

The best teachers teach from the heart. Thank you for all that you do❤🇮🇳

he is one of the best profs in India!

Excellent lectures! Thank you! I wish PowerPoint lectures weren't so widely used; the blackboard (or whiteboard) is always better, in my opinion.

Very nice explanations by Prof. Balakrishnan. He explains such an abstract concept with a very simple manner without diminishing the substantial contents. Thank you, Professor!

I really like this profesor. I think this is the best quantum mechanics lecture available. 👌

this gentleman is very well educated.this video is a big help. Thanks

BEST PROFESSOR EVEEERRRR!!!

This is a great lecture series to watch along side Leonard Susskind's Quantum mechanics series on the Stanford channel. I wish they'd get the rest of the lectures up soon. Happy New Year!

thank you sir .......!! you made my concepts clear on vector spaces thanks alot.....!!

without any doubt, his lectures are awesome...😌

His son Hari Balakrishnan and daughter hamsa balakrishnan are professors in Computer Science and Aerospace Engineering Departments of MIT. You got believe this guy, he knows the meat pretty well. His wife used to be working in IMSC which is pretty renowned for doing the physics stuff. Have fun and njoy his lectures. He is my guru and now I am in OSU

awesome lecture, great camera work

this series is highly recommend for anyone want to study qm

I find him quite easy to understand. The material itself gets tough, so there's a limit to how easy you can make it. I really like his style of teaching though.

Not arbitrarily, rather it's comparably awesome....Great job.

Thanks sir for giving this video on you tube... i understood many terms from your lecture.Thank you very much

@AtomosDemocritus Thanks for the info! This is what I am working on the Linear vector space ǀΨ > forms the time line for the object or observer in their own reference frame. The quantum w-particle function is a vector for a moving object increasing its mass and slowing time down.

I Really Like The Video Lecture 2 Introduction to linear vector spaces From Your

Quantum mechanics , I'm loving it!!!

great lecture! really helpful, thanks

A good intro. to functional analysis, thank you.

He's such an awesome teacher

The classic professor in physics

Thoroughly enjoyed this. Thanks you boss man 💪🏿

Great Prof. Easy to follow for hard subject thank you very much

sir great work, you are best

This is excellent.

another excellent lecture--thanks (nice to be able to re-play the video until it sinks in)

extremely well articulated

@AtomosDemocritus It does seem fitting somehow, in just the same way we have gravitational time dilation around objects of great mass and we also have time dilation when an object accelerates and mass increases. I think this has more to do with the wave nature of energy and mass than two different types of w-function. Nick

Thank you very much for such a good lecture.

For vector spaces, go to 8:15

Thank you sir it's really amazing

Does Prof Balakrishnan has lecture series for electromagnetic theory?

Can the embedded uncertainties in quantum mechanical observables be attributed to only the scales we are trying to probe ?

@AtomosDemocritus This is what I was thinking each scalar would be formed by adding the two previous scalars together and if the process was continuous, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ad infinitum?

@AtomosDemocritus I have read that scalar have gauge symmetry they look the same whichever angle you view them, just like a sphere!

I could not leave the lecture without leaving a comment, which I seldom do. Sir U r genius, fantastic explanation. My favourite proffessor is RAMAKANTH in kakatiya university. Very similar to your lecture sir in almost every way as ur lecture Thank you sir

Preparing for M.sc physics Third paper by watching your lecture. Balki sir ❤️❤️❤️❤️❤️❤️🙏🙏🙏🙏

I do know all the things and all our concepts will turn out wrong if try to push to ultimate consistence......but I can tell all our manufactured physics you are such an amazing mentor for it sir Thank you Sir

great work

@DanFrederiksen It is recitation of shanti mantra from Taittiriya Upanishad

Question, If we have to add two vectors together to get a new vector don’t we create the Fibonacci sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ad infinitum?

How do we experimentally measure the momentum of an electron?

By 29:00 I thought I was confused, but seems everyone in the video had questions about LVS so I don't feel bad now...

I never assumed that learning quantum mechanics is so easy.

Amazing guy!

Hey, thank you a lot, buddy. So long...

May God bless you sir

Just Fantastic 😊

Perfection 👩‍🏫👩‍🏫👩‍🏫👩‍🏫

It is very easy as logic but hard as notation. It takes more time as physicist but rather less as mathematician. probably conjugate variables, with optimal uncertainty.

@DanFrederiksen Please investigate the fundamental courses on linear algebra and then observe the lecture. A basic knowledge of fundamental math is assumed in a lecture on quantum physics. Good luck.

I find prof. Shankar morw fun and fluent in math-physics . He also will make u understand where the formula comes from with physics explanation . He adds variables as he goes with logical explanation along side untill picture completes..

Thank you very much sir🥳🥳🥳🥳

finally I understand dual space kinda

very nice series

Balakrishna has the mathematical rigor🔥🔥🔥

Can any Indian explain if the song is a prayer? Which is its language? What would be its English translation? ??? ??? Besides these, they are really very useful lectures

Thankyou sir!

Say we are finding the dual space of R^n, take an element in R^n which looks like (x1,x2,....,xn)^t (meaning transpose), somehow we have to find a way of associating another vector to this to produce a scalar. We do this by taking the row vector (y1,y2,...,yn) and multiply to the above vector. In this process i have taken the entire original column vector X as the reference in the vector space and found a dual. The process never requires you to multiply x1 to all y1,y2.. etc.

awsome... thk u sir...

@Mahala Widget: Can you stop spamming? If you don't like the lecturer, then get lost and enjoy your Popular Sciece nonsense!

doubt: In theory while defining bra vector set we said that we take a reference element say φ and apply it on each element vector in the space to produce a scalar such that it satisfies those 2 conditions. How can matrix multiplication be an example of this? In matrix multiplication say we do x1y1+x2y2+...... so we dont apply x1 on all y1,y2,.... and x2 on y1,y2,....

For an electron in a 3D space, how do we experimentally find one position co-ordinate while not affecting the other two?

can we read this lecture in quantum mechanics and mathematical physics ???

Is it correct to say that the appearance of uncertainty when trying to quantify a canonically conjugate pair of system variables is the intrinsic nature of the mechanism adopted to probe the system?

very nice lecture

Does anyone know which book Sir is following?

Sir please suggest good book for this

Don't phi and xi have to live in the same space for the inner product to be defined on a bigger Hilbert Space? Are V and V~ subspaces of a bigger space? Maybe he clarifies this.....patience!

english is the common language of india, everyone comes to these iits from different states, and not everyone understands madras local language, but everyone does understand english :)

sir iam from hp ihave a equation that found that light has dual nature for some time at a point that is called by me indiantrone away from this point light has only partcal nature

Is f(x,xdot,t) a functional Any examples sir ?

I think there would be two moduli on the right hand side of Cauchy Schwarz inequality

sir pls upload video in FULL HD

Nice lecture

I learn lot of concepts ,very good lectures.

Exalent

i think definition of dual space is little confusing

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?

is this a Msc. class or Bachelors?

how can a set of real numbers be a vector space? i mean if real numbers are vectors?🤔🤔

His son is also a professor

Not true. I was kidnapped by Hizballah and held in captivity for several years in the mid 1980's. Every afternoon, a masked man put a gun in my mouth and forced me to watch this video. Ironically, it was the best part of my day. My hat off to you, Professor V. Balakrishnan.

You're right. There is no common language in India. There are more 30 languages and the common standard at colleges and universisites is English.

❤

anyone know what they are singing in the beginning?

Good

Superb - many thanks to Prof. Balakrishnan and IIT. Minor correction though: At 0:27:00 he is wrong when saying that the functional S_psi forms a vector space. It is the set of all S (not just S_psi) that form the dual vector space. The confusion continues for a while, but at 0:31:50 one of the students has spotted the problem and apparently (question is inaudible) asks for a clarification. The answer seems to be wrong at first, but from 00:32:10 to 00:32:25 the statement is correct.

Why is average of 1/v greater than 1

makes quantum mechanics look like an organic whole...hmm i'll just shut up and calculate anyways.

I watched this lecture 5 times but I can't understand what is Dual of LVS.