Deriving The Klein Gordon Equation (Relativistic Quantum)

How to use the einstein energy-momentum relation to derive the Klein Gordon Wave Equation. I go over four-vector notation, Four-gradient, and writing the equation in terms of the D'Alambertian.

[michaeljburt]

I've met many physicists in my life. Many with PhD's or working on them, both theoretical and experimental particle physics. I can say very confidently that you are the clearest physics communicator I have ever seen. I hope you're pursuing a professorship. It really takes a brilliant mind to both be able to execute the theoretical mathematics and physics, and discuss it while doing it.

[saarausmaan]

Now I found one of the clearest concepts about the Klein Gordon wave equation . Thank you so much

[MyTBrain]

“Klein – Gordon in under 15 minutes? “

**cracks knuckles**

“Watch me...”

Stellar Job Andrew!

[namanvats]

I spent all day trying studying form books, wikipedia, detailed lectures but this video help me get rid of my every single doubt about the topic in just 14 mins.

[RVN_]

i watched this video when i was just about to start uni. and i didnt understand anything. now that i am taking QFT, holy moly you are amazing at explaining things

[alapandas]

Everybody is saying about the box notation. But I saw in Feynman Lectures box square was used.

[garybarbourii]

I will not be satisfied until I understand every bit of this, and more.

[theflaggeddragon]

You're going to want to start at the top left when presenting, split the board in two and DON'T ERASE. Don't worry I did this all the time when lecturing and have only recently corrected my habits but it really helps students/viewers on the other end. Great video ;)

[CarlosKoji]

What's interesting about the Klein-Gordon Equation is that it gives the wrong fine structure for the hydrogen atom and also gives negative probabilities. Not only that, it allows for negative energy states! I think a video on deriving the Dirac Equation would be really cool. It would be a great transition as it remedies some of the issues in the Klein-Gordon Equation.

[renatolucas]

I'm in a IC(scientific initiation) of symmetry break and this video clear a lot of things that I wasn't getin. Waiting your next video !!

[kamehamehaDdragon]

If you don't know quantum physics like me, this looks super crazy. If you do know physics, I bet it still looks super crazy xD. Good video.

[ashmindersingh]

Finally someone explained d'alembertian in form of 4 vectors

[theicemancometh]

I love how you write your 'a' the same was as the d in a partial derivative

[showmethe-ob]

Thank you very much! I was looking forward to finding the meaning of /d myu d myu/, I found it here!. I'm studying physics as a hobby. You're videos help me study physics alone because it's not easy to find lectures that teach from the scratch. I appreciate it so much! ^^*

[KhoaNguyen-oszv]

I wonder why Caltech didn’t give u at least an email. You’re so mathematically gifted. I’m an error asian.

[WaveSound]

I've never seen the d'Alambertian writen with a square, only the box XD

[danielbachour]

Great man! Enjoyed the video! i'm going to catching up with all your videos! You know, to refresh things up! Keep it going!!

[Onegod-vh]

That's fantastic demonstration.Really appreciate it

[esorminihaz]

This equation was derived by Isaac Kleiner and Gordon Freeman. Using this equation instead of the Dirac equation caused the resonance cascade

[angelmendez-rivera]

I think another, perhaps better way, to explain the significance of contraviant and covariant indeces when working with vectors and 4-vectors is to talk about the conventions of matrix calculus and to consider ordinary vectors as single-column matrices. Their components are expressed with a covariant index. Then, an expression with a contraviant index is simply a single-row matrix, or a "row-vector, " also known as a covector in some contexts.