Quantum Mechanics Concepts: 1 Dirac Notation and Photon Polarisation

Ғылым және технология

Part 1 of a series: covering Dirac Notation, the measurable Hermitian matrix, the eigenvector states and the eigenvalue measured outcomes and application to photon polarisation

Пікірлер: 752

  • @ashkara8652
    @ashkara86527 жыл бұрын

    Seriously, who are you. I've learnt God knows how much of the most complicated of topics from you and I have no idea who you are or what you look like. If Paul Dirac was brilliant for finding such useful notations then you certainly are brilliant in explaining all this beautifully.

  • @adamfattal468

    @adamfattal468

    7 жыл бұрын

    He is called Prof. Bob Eagle (he is also a singer and a soccer fan). His twitter is @BobEagle2.

  • @ashkara8652

    @ashkara8652

    7 жыл бұрын

    Thanks man!

  • @enricolucarelli816

    @enricolucarelli816

    7 жыл бұрын

    Yes. I fully agree. Absolutely fantastic. Who needs to go to university in search of knowledge if these superb lessons are accessible in KZread? Thank you very much!

  • @jeromemanceau4263

    @jeromemanceau4263

    7 жыл бұрын

    Same from me. I wanted to get a bit deeper into quantum mechanics for fun, but needed some help to get started with books like the "theoretical minimum". You're a perfect teacher. Thanks!

  • @pcalculas

    @pcalculas

    6 жыл бұрын

    He is The Great Dr. Bob Eagle CBE

  • @meniscusmedical2471
    @meniscusmedical24714 жыл бұрын

    When you've spent ten years having to understand dirac notation and in the space of 5minutes you get it, it goes to show it's a great teacher that makes the student great.

  • @hanniffydinn6019

    @hanniffydinn6019

    4 жыл бұрын

    It’s just short hand to help describe vector hilbert spaces. 😯😯

  • @hanniffydinn6019

    @hanniffydinn6019

    4 жыл бұрын

    Hugh Jones you miss the point, it’s a leap in thinking when someone comes up with new notation that makes more sense and elegant. These things are important landmarks in mathematics. The OP is correct, they aren’t Taught the significance and reason behind the notation. People learn this afterwards in their own time. It’s weird really. I’ve more understanding now, at university you just memorised stuff, but never truly understood,say, the notation.

  • @ErwinSchrodinger64

    @ErwinSchrodinger64

    2 жыл бұрын

    @@hanniffydinn6019 Yes, I completely agree. When I first took thermodynamics, I thought I understood what the equations meant. Took Thermodynamics II and realized, I didn't understand anything. Then, in graduate school, thermodynamics III, along with statistical mechanics. This time around, I memorized, worked out problems, understood the experimentation. Thus, I understood the mechanics but I couldn't tell myself whether I truly understood it. Taught thermodynamics several semesters, and slowly, based on what I learned, I began interpreting the meaning in way I could personally understand it form my vintage viewpoint and it clicked. My interpretation is not any different nor is it a leap forward. I finally accepted, at face value, what thermodynamics entails, from a personal view, that is consistent with everything I've learned. You have to internalize the theory, equations, and so forth before you can began to understand its motivations.

  • @schmetterling4477

    @schmetterling4477

    Жыл бұрын

    Don't know about you, but it didn't take me more than a day to understand that in QM101. That is not the hard part about quantum mechanics. ;-)

  • @ahmedwaly9073
    @ahmedwaly90739 жыл бұрын

    This is the best lesson I had in my life

  • @executorarktanis2323

    @executorarktanis2323

    3 жыл бұрын

    True

  • @whythosenames

    @whythosenames

    2 жыл бұрын

    we are profile picture buddies

  • @DrPhysicsA
    @DrPhysicsA10 жыл бұрын

    I did nuclear physics and got my PhD from King's College, London.

  • @pinklady7184

    @pinklady7184

    4 жыл бұрын

    Do you ever use 3D softwares to make physics simulations?

  • @jhumasarkar5203

    @jhumasarkar5203

    3 жыл бұрын

    @@pinklady7184 he will never answer you because he left KZread 6 years ago.😭

  • @almightypush6888

    @almightypush6888

    3 жыл бұрын

    I got PhD in partical physics at the university of cambridge

  • @pinklady7184

    @pinklady7184

    3 жыл бұрын

    Jhuma Sarkar He is probably dead.

  • @almightypush6888

    @almightypush6888

    3 жыл бұрын

    @@pinklady7184 wallahi

  • @DrPhysicsA
    @DrPhysicsA10 жыл бұрын

    Thanks for kind comments.

  • @JimmyGray
    @JimmyGray5 жыл бұрын

    I wonder how many young ( and not so young) physicist have been inspired by your gracious and well thought out presentations. Thank you!

  • @mehmetaliyagc2092
    @mehmetaliyagc20929 жыл бұрын

    I'm watching all your videos and also nearly all other people's Physics and Quantum videos in internet.You are the BEST ever.Sometimes you are admiring Prof. Susskind from Stanford but i watched also all of his videos.They are not even comparable to yours...I also ADVISE to people who stupidly criticise you here and try to show that they are clever and know sth.....''Please make your own videos and let us criticise you also..I wish they learn to appreciate and thank to this perfect teacher, at least for respect ''...Hope to see your new videos,amazing teacher,..thanks for all !

  • @kadamati284
    @kadamati2848 жыл бұрын

    An amazing introduction! What i didn't understand in years is clear now within few minutes. I owe you a hundred coffee, Professor. Thanks.

  • @st1cummings873

    @st1cummings873

    4 жыл бұрын

    Kvy

  • @alliejoan5145
    @alliejoan51457 жыл бұрын

    This video made sooooo much sense. Thank you, you're an amazing teacher!

  • @DrPhysicsA

    @DrPhysicsA

    7 жыл бұрын

    Thanks. All good wishes for your studies.

  • @CNCichon

    @CNCichon

    7 жыл бұрын

    thanks for teaching me even if i'm twelve

  • @samarthsai9530

    @samarthsai9530

    7 жыл бұрын

    Thanks a lot sir. Please explain to me that why we use matrices to represent something which is observable(What is the connection between them?).

  • @rashahameed4937

    @rashahameed4937

    3 жыл бұрын

    I from Iraq

  • @kamrankhademi
    @kamrankhademi7 жыл бұрын

    Thank you, DrPhysicsA. I love everything about your videos: Clarity, brevity, pace, your drafting, and even your felt marker!

  • @benedicterhardt5594

    @benedicterhardt5594

    4 жыл бұрын

    I love your grammar.

  • @JonathanLangdale
    @JonathanLangdale9 жыл бұрын

    One of the best ways I have seen this explained. Nice job.

  • @kevinkowens
    @kevinkowens5 жыл бұрын

    I am so grateful to you sir for your contribution, your passion and love for physics and help for a physics major like myself to navigate such a beautiful and elegant subject. I wish there were more people like you in this world who are willing to give of themselves with the magnitude of Excellence that you bring. I just wanted to write a little note of thanks to you and I wish you the absolute best

  • @hansfijlstra5932
    @hansfijlstra59322 жыл бұрын

    What an excellent video! You are a genius in finding the optimal balance between explaining detail and concept. Only truly exceptional teachers have the skills of doing this. A lot of teachers can and should be replaced by this kind of high level video tutorials combined with good books. Would save a lot of money and time! Again excellent!

  • @rsaleh8957
    @rsaleh89577 жыл бұрын

    Master class! How can you take something so complex (pun intended) and make it so real (also intended)? Pure magic. This video is must-see TV for us quantum nuts. The textual corrections are funny and make it even more compelling.

  • @mathcritic
    @mathcritic9 жыл бұрын

    What a fantastic video! No muss, no fuss, no quantum hype, just the facts. Nice job Dr P!

  • @DKonigsbach
    @DKonigsbach Жыл бұрын

    This wonderful series of videos fills an important gap. There are other videos on KZread that give you high level concepts with no mathematics. There are also videos on KZread that give you a deeper understanding, showing the mathematics, which throw you into the deep end of the pool and expect you to sink or swim, as if you should have to prove your worthiness of learning this. But THIS series of videos gives you a deep understanding, including the mathematics, while trying to make sure that you WILL be able to follow it and WILL come out understanding it. This a great way of teaching!!! If you are coming to this subject without a lot of background, then these are the videos that you want.

  • @thesoccer02life
    @thesoccer02life5 жыл бұрын

    This is exactly what I needed. So many professors assume that at this level of material they can skip all of the basics and us students will know exactly what they're talking about and that we know all of the elementary math and physics behind it. Definitely not the case. I always have to go back and review the basics. YOU ARE AMAZING. Thank you

  • @Patrick-cy2zh
    @Patrick-cy2zh7 жыл бұрын

    You should have a Nobel prize for being a great teacher. Even me, Patrick Star can understand this subject because of you!

  • @wojpaw5362
    @wojpaw53626 жыл бұрын

    Thanks to your videos I passed my A-LEvels in maths and physics. Now you save life again in my 3rd year quantum mechanics module. You're amazing

  • @RawringAtYouNoobs
    @RawringAtYouNoobs9 жыл бұрын

    Great video! I've been struggling to understand Dirac notation for a while. I never realised there was such fundamental mathematics behind it until now!

  • @DrPhysicsA
    @DrPhysicsA10 жыл бұрын

    There's a very brief description at 19:00 in my video "Atomic Structure - A Level Physics"

  • @yetian
    @yetian3 жыл бұрын

    This is the clearest explanation of Dirac notation I've ever heard of. An awesome lesson!

  • @joeclaxton99
    @joeclaxton994 жыл бұрын

    I've spent years wandering about in the dark wishing I could find my way in to Quantum Mechanics and Quantum applications such as Quantum Computing whilst holding down my day job. Now, finally, I've found the door handle and the light switch. Thank you so much DrPhysicsA, very much appreciated!

  • @sina8883
    @sina88837 жыл бұрын

    Thank you drphysics for these wonderful videos. They have really catalyzed and facilitated my interest in areas of physics which previously had seemed hopelessly out of reach. These were just the footstool I needed to bring them into reach for me. This is a great public service you have done and you have our gratitude.

  • @wreza97
    @wreza974 жыл бұрын

    7years, and this video is still the best! Thank you @DrphysicsA for doing what you did.

  • @imrozzahan7328
    @imrozzahan73287 жыл бұрын

    Sir, you are a natural teacher like Stephen W. Hawking, you are simply great. Thanks a lot.

  • @paulbaker916
    @paulbaker9164 жыл бұрын

    It's taken me 6.5 years to find this video however I'm very, very glad I did. A brilliant no nonsense, personable, informative hour that even had subtle humour. As others have said; much of the nomenclature was familiar however within a very short space of time many vague concepts and thoughts began to gel. Looking forward to watching the rest of the series. It's work like this that makes KZread great. Thanks for producing this.

  • @lwskiner
    @lwskiner9 жыл бұрын

    This is the first time I have heard a simple definition for eigenvalues and eigenvectors yet. That alone is worth the value of this presentation.

  • @sclair2854
    @sclair28544 жыл бұрын

    Thank you so much for the short review of matrices. A little revision at the start always helps me pick up the newer stuff easier.

  • @neoutopiamessiah3
    @neoutopiamessiah39 жыл бұрын

    Thank you so much for your thorough yet simple and step by step approach to something often made unnecessarily complex. Well done.

  • @TubingSD
    @TubingSD5 жыл бұрын

    Oh. My. God. This just cleared up about 236.284+E25 concepts about quantum mechanics that I have been trying to get through my thick skull for the last several years. And you did it in less than an hour. Wow.

  • @fractalized3
    @fractalized33 жыл бұрын

    Probably the best physics lesson i have ever had in my entire life. Thanks Prof. Bob

  • @ngyufeng6205
    @ngyufeng62054 жыл бұрын

    Amazing! Clear as a crystal and still understandable even for laymen. Great job! Thanks!

  • @vincentp5616
    @vincentp56167 жыл бұрын

    People Like You, Make KZread A great Resource Thank you !

  • @fredrickvanriler7986
    @fredrickvanriler79865 жыл бұрын

    The smartest and most consummate Professor I’ve witnessed❗️

  • @muddassirghoorun4322
    @muddassirghoorun43225 жыл бұрын

    The best explanation i got so far... Thank you and keep up the amazing work!!

  • @silvithomas
    @silvithomas7 жыл бұрын

    Dr.Physics thank you.for the most clear and beautiful lectures in KZread

  • @sreeprakashneelakantan5051
    @sreeprakashneelakantan50514 жыл бұрын

    Even after six years, this explanation is undoubtedly the clearest 🙏

  • @Gismho
    @Gismho3 жыл бұрын

    Yet another excellent exposition of QM mathematics. Thank you!!! (This should be prescribed viewing for all budding physical science students.)

  • @alanatlantistv
    @alanatlantistv2 жыл бұрын

    I hope this channel wil stay on line forever. It's so good

  • @rigoluna1491
    @rigoluna14916 жыл бұрын

    This has been the most informative pen I've ever watched.

  • @pastorericardo
    @pastorericardo5 жыл бұрын

    I was a little bit lost reading "feynman lectures on physics pdf volume 3" , I got stuck in chapter 10, now thanks to this gentleman I am back on track!

  • @biohoo22
    @biohoo2210 жыл бұрын

    You are an amazing lecturer. I am a biologist by profession; however, I wanted to learn more of the "hard sciences" on my own. Your lectures are clear, cogent and easy to follow. You do not simply present the tedious and cliched quantum physics examples like so many other videos and stop at the results (double slit experiment, photoelectric effect etc.)--you actually explain the mathematics in a way that does not go over the heads of the majority willing to learn. Thank you.

  • @t3db0t97
    @t3db0t977 жыл бұрын

    I'm only 26 minutes through but this is already the single best QM explanation I've yet found after about 5 months of reading and watching everything I can find. Your walkthrough of linear algebra is concise and useful, and when you got to H|a> = lambda |a>, the eigenvalue and eigenfunction, everything I've been struggling with suddenly snapped into place. Amazing. Now what Prof. Susskind's "Theoretical Minimum" is saying actually makes (more) sense to me! OK now on to the rest ;)

  • @peterhall7972

    @peterhall7972

    5 жыл бұрын

    Now what Prof. Susskind's "Theoretical Minimum" is saying ; NOW actually makes (more) sense to me

  • @gilberteswann6142
    @gilberteswann61424 жыл бұрын

    Fantastic lesson! This is so well explained that I've been able to follow myself! Thanks so much for teaching us. This is so kind and generous of you. Thanks!!! and please, don't stop!

  • @CarolRiveraL
    @CarolRiveraL5 жыл бұрын

    I agree with all the comments! Explanation is quite clear, straight and clean. I don't get lose among that amount of concepts. Funny that most people struggle trying to teach these topics but you do it like a piece of cake. Thanks a lot!

  • @PeterFreedMD
    @PeterFreedMD9 жыл бұрын

    Best explanation of matrices I've ever found on the web! Thank you so much!

  • @KingCrocoduck
    @KingCrocoduck10 жыл бұрын

    You're amazing.

  • @heavennoes

    @heavennoes

    2 жыл бұрын

    you have a good channel to.

  • @yevonnaelandrew9553
    @yevonnaelandrew95533 жыл бұрын

    I really need a quick quantum introduction and I found these videos are really amazing. It helps me to learn further in my self-study journey in quantum things! Thank you.

  • @mireksoja9063
    @mireksoja90637 жыл бұрын

    Super! You explain complex topics in a very clear way. How I wish to have a such a great professor like you when I took quantum mechanics courses many years ago!

  • @roblouw1344
    @roblouw13442 жыл бұрын

    One of the best lessons I have had in my life!

  • @fernandojimenezmotte2024
    @fernandojimenezmotte20247 жыл бұрын

    Great class ! You made Quantum Mechanics basis , very understandable and very didactic Dr Physics !!!!

  • @razziade
    @razziade5 жыл бұрын

    I wish KZread was around when I studied physics! Students now are SOOOO lucky to have this. Do you need office hours these days? Instead of KZread, we went through stacks of physics books looking for worked out examples that were similar to the problems we were trying to solve. Students of today, don’t take these videos for granted. I’ve seen a lot that have made me understand concepts that I could not grasp back when I went through college. Thanks for all your video DrPhysicsA!

  • @mattmackay76
    @mattmackay766 жыл бұрын

    I so enjoy watching your physics videos. You are a phenomenal communicator and teacher. Im so glad you made these.

  • @waqassaeed674
    @waqassaeed6742 жыл бұрын

    My quest to understand dirac notation has finally ended. Lots of respect Sir.

  • @SaschaTayefeh
    @SaschaTayefeh5 жыл бұрын

    Thank you so much for all your effort explaining, recording and sharing with us!

  • @danko6yg411
    @danko6yg4119 ай бұрын

    Thank you DrPysicsA. You do a fantastic job in presenting somewhat difficult material with Dirac. You make it so clear

  • @NandishPatelV
    @NandishPatelV6 жыл бұрын

    How you made quantum mechanic so accessible is amazing!!! Keep it simple :) I look at the notation now and feel elated that I understand at least some of it. Thank you!!! I'm gradually accessing maths and physics at this quantum level ;)

  • @adityadas.mr.cosmos357
    @adityadas.mr.cosmos3575 жыл бұрын

    I think one of the best explainer of this century.........should be applauded.......👍👍👍👍👍👍

  • @lomertamahon1
    @lomertamahon110 жыл бұрын

    Paul Dirac never ceases to amaze me. He is the most underrated of all those connected with quantum mechanics. He IS quantum mechanics.

  • @banyantree
    @banyantree6 жыл бұрын

    Excellent video - it's gratifying to be able to follow along and understand what is happening. Like others I learned more in this hour then countless hours in other courses! THANKS!

  • @michaelantzoulis8872
    @michaelantzoulis88727 жыл бұрын

    Absolutely incredible lecture. Turned stuff that gave me headaches elsewhere into a piece of cake. Thank you so much!

  • @NomNomReddit
    @NomNomReddit6 жыл бұрын

    You explained what our lecturer's going to explain next week in 20 minutes, bravo

  • @veikko91
    @veikko915 жыл бұрын

    Why am I seeing this only now and where have you been my whole life? Thanks for help!

  • @HaiderKhanZ
    @HaiderKhanZ10 жыл бұрын

    Please keep making these videos for QM, you're the best teacher on youtube for this stuff!!!

  • @canlished
    @canlished7 жыл бұрын

    proud f u sir....Big salute....... Its about 15 years m studying quantum mechanics.. lot of books, articles, physicists..... but u made the Mathematical special functions a philosophical and realistic life... n those who trying to correct you have only one intention "ONE man SHOW". N these people when explains things to students always says "its complicated and weird" an they skip n hide big concepts behind these two words..!!!! but the thing is that "If you can't explain it simply, you don't understand it well enough. ---ALBERT EINSTEIN

  • @orthodium
    @orthodium8 жыл бұрын

    Nice encapsulation of a linear algebra course in little over an hour!

  • @currentmuvingi5936
    @currentmuvingi59365 жыл бұрын

    now there is no need for me to go to university if i will get good videos like this, i really liked it, keep the ball rolling Dr Physics.

  • @lucasfortier3682
    @lucasfortier36824 жыл бұрын

    Dude, i Love you. Greetings from a French PhD student in chemistry, trying to give lessons.

  • @rmw3hair3
    @rmw3hair32 жыл бұрын

    The best explanation I've come across. Great man indeed

  • @eamonnsiocain6454
    @eamonnsiocain64546 жыл бұрын

    Succinct! Excellent! Thank you so very much! My concentration was in Maths, yet my focus was more towards Epistemology than Physics. Your video explained an application which I never had had the time to explore. Again, thank you.

  • @mhd112211
    @mhd1122112 жыл бұрын

    wow, i'm sure glad i've fiound this video! no one has ever been able to explain this so well to me! thank you so much!

  • @QUECWA
    @QUECWA2 жыл бұрын

    Dr PhysicsA I teach quantum physics and quantum computing and I can’t tell you enough how FANTASTIC you are!!!!!!!

  • @patrickcardiff7811
    @patrickcardiff78114 жыл бұрын

    This is great for refreshing one's linear algebra knowledge, and also for the physics avocationalist.

  • @marycatherine4220
    @marycatherine42208 жыл бұрын

    Your lectures are incredible. Thank you so much!

  • @MrHuno92
    @MrHuno9210 жыл бұрын

    Who dislikes these videos anyway? ... Every single concept needed to understand was explained.

  • @manchesterunited9576
    @manchesterunited95768 жыл бұрын

    You are the best! Thank you for taking your time to share with us this wonderful knowledge!

  • @007myzorro
    @007myzorro6 жыл бұрын

    AMAZING!!!!!!! unovercomeable. Never heard such a clear explanation about such a complex matter. It s Feynman himself !!!!! THANK YOU SOOOOOO MUCH sir.

  • @ddopson
    @ddopson2 жыл бұрын

    You are a great teacher, and I hope that you come back to KZread. I went through at least a dozen different videos from various channels, including several much more popular than this one, and this is the only one that did a good job of explaining the notation, which can be one of the most intimidating aspects of QM.

  • @monsieurneversois861
    @monsieurneversois8617 жыл бұрын

    You're an amazing teacher ! Amazing ! God bless you !

  • @DrPhysicsA
    @DrPhysicsA10 жыл бұрын

    The videos are in order in each playlist - but not necessarily in the order of uploading. This particular video is the first of series within the Quantum Mechanics playlist. I uploaded the sedond today. A further 5 videos will be uploaded weekly in this series.

  • @pseudohominom
    @pseudohominom9 жыл бұрын

    Best explanation of this ever, especially you explaining why we sue probabilities by experiment.

  • @guitaringjarmin
    @guitaringjarmin7 жыл бұрын

    Absolutely brilliant explanation. You are a hero sir

  • @charleschidsey2831
    @charleschidsey28312 жыл бұрын

    Love your clear and concise explanations. You definitely earned my sub.

  • @Frogcleaner
    @Frogcleaner10 жыл бұрын

    exciting new series! exactly what i always wanted to know but never could get a grip on. thx again prof for all the excellent work.

  • @EditB3ast
    @EditB3ast6 ай бұрын

    I’ve been looking for this video forever, thank you DrPhysicsA

  • @philipswain4122
    @philipswain41224 жыл бұрын

    A crystal clear explanation. Many thanks for posting.

  • @wilrohan2985
    @wilrohan29858 жыл бұрын

    Another excellent video Sir. Thank you. I really appreciate it!

  • @williamschaefermeyer7007
    @williamschaefermeyer70073 жыл бұрын

    I've only taken enough math to get a bachelors in business and I was able to understand this video to the very end. Amazing explanation, especially considering it was 8 years ago now.

  • @taohidbinnurtuhser1756
    @taohidbinnurtuhser17565 жыл бұрын

    That's the best explanation I have ever come across.

  • @BlackEyedGhost0
    @BlackEyedGhost02 жыл бұрын

    3:47 It's so nice to see someone get the definition of i right. Most people define it as a value where i² = -1, but there are multiple values which this is true for. There's only one value for which √-1 = i, when square root is defined as a proper function.

  • @mhmeekk3003
    @mhmeekk30037 жыл бұрын

    Dude, how long is your paper?

  • @alexanderm2220

    @alexanderm2220

    4 жыл бұрын

    It's quantum mechanical, it doesn't make sense

  • @kamehamehaDdragon
    @kamehamehaDdragon6 жыл бұрын

    Great video, i am not a physiscs student but i got courious, and i think i learned quite a bit, its very intresting to see the usage of linear algebra in photon polarisation, im still thinking aboout it and trying to interlace the concepts i know. im looking foward to see the second part and see how this bad boi turns out!

  • @DrPhysicsA
    @DrPhysicsA10 жыл бұрын

    Thanks. And yes they are, as you will find out in the third video of the series.

  • @benjamincordes207
    @benjamincordes2078 жыл бұрын

    I found this video very helpful. You are a brilliant teacher.

  • @fernandojimenezmotte2024
    @fernandojimenezmotte20244 жыл бұрын

    Thank You DrPhysics for being so didactic specially in Quantum Mechanics !

  • @dougmccullough2144
    @dougmccullough21446 жыл бұрын

    Really enjoy these videos! Your presentation is so clear, thanks!

  • @awowoosas
    @awowoosas10 жыл бұрын

    This is pretty awesome, man... Thanks so much for these videos, it helps me to know where to start on Quantum Mechanics. I was so puzzled on where to begin since Quantum Mechanics is so big of a topic on its own !! Once more, thanks for sharing your knowledge :)) I can't be more thankful. PS: I really enjoyed your explanations and your constant reminder on certain terms which makes it so much easier to understand for people with rudimentary to little foundation of high level Maths and QM.

  • @DrPhysicsA
    @DrPhysicsA10 жыл бұрын

    Thanks. The intensity point is covered in the series on Electromagnetic radiation which I prepared recently. In particular see the video on the Poynting Vector.

  • @arunsharma-bv1wp
    @arunsharma-bv1wp4 жыл бұрын

    I was badly searching for explanation on Dirac; Ket and Bra. I tried my level best to think of the significance. Why we do that? Why we use these notations? When you pointed out the question I was hopeful that may be I can get the answer. And here you are....I got it.. This looks reasonable..I appreciate..I am able to correlate it with now Spin Quantum States explained by Stern and Geralch ..I wish you will have answers for my future doubts..Thank you so much for priceless lecture.

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