Wavefunction & Normalization EXPLAINED

[@Abhishekpahwa01]

Timestamps 00:05 - The wave function in quantum mechanics is a complex function representing matter waves. 02:43 - Quantum mechanical wave function is a computational tool without physical significance. 07:41 - Wave function must satisfy specific criteria for it to be useful. 10:26 - Wavefunction must be single-valued, finite, and continuous for meaningful results. 15:40 - Wave function normalization ensures probability is finite and bound systems have specific conditions. 18:13 - Wave function must satisfy boundary conditions for existence. 22:30 - Normalization is important for wave functions 24:54 - Normalization constant ensures probability remains valid. 29:16 - Normalization ensures wave function represents a physical particle. 31:50 - Wave functions are complex mathematical functions with specific conditions for use in physical particles.

[@sumanc76]

Sir your teaching is so methodical ! Without the help of any modern gadget , just with chalk and duster you make your lectures so attractive. Really your lectures series is an asset to every physics loving individual.

[@Yes-dp4ie]

If u try to predict where a tornado will go depending on its speed and direction you can only predict with a similar level of certainty where it will be detected. In quantum physics they are tiny spherical vortexes not particles. Moving inside a lattice made of Planck sized elastic tubes/strings. That's how EMR moves, through quamtum wires. When trying to get particle physicists to understand the wave equation is describing a wave detected at single points not a particle, it's like talking to high tech voodoo madmen, they say energy is a particle but has a wave function which isn't actually a wave! it's like particle physicists seeing people in a boat and saying "Oh look those people are moving mysteriously across the water" then we say "no but they're in a boat" to which they say "no there's no boat that's just a boat function that gives the illusion of a boat, we build nuclear bombs, computers to give corporations more control over everything and everyone, we control all physics taught in Universities and peer review journals, we have ai controlling drones killing people in Afghanistan, Pakistan, Yemen and other places with no human 2nd opinion. So trust us we are smarter than you there is no boat, the Universe has no fixed laws at the quantum level, it's not that we can't explain them using the particle model, it's just bizarre and those people move mysteriously across the water in a boat function." The Theory of Everything has been around for 5 years with 2 math proofs to Goldbachs conjecture and proof a 2nd loop is impossible in the Collatz Conjecture but the Big bang particle industry have kept it suppressed time and time again, with insane hysterical particle physicists unable to bear to look or listen to any evidence that for a split second says they are wrong, who keep taking down this guys channel, and refusing to acknowledge his math proofs it's looking more like doom every day for humanity, the TOE and experiments to prove it are on channel "Breaking physics (beyond the SMOPP)" most experiments and the 2 math proofs are in 1 minute shorts. There is no collapse there is only a change of focus on the wave, what changes the focus is the real mystery but this channel has experiments to test for what it is.

[@angevile3310]

How did i go from starting My organic chemistry journey in class 12 to studying Wave function 😂

[@Valsula69]

I just started quantum mechanics this semester and your explanations make these topics much easier to digest mathematically and visually. Thank you.

[@AbdallaDaaMadowe-kn4jq]

Thanks great teacher Your beautiful explanation ❤ Keep going 💪

[@therealman1150]

This was really great. I was getting mad at what the hell is this normalization. You lecture give me a clear actual vision what it really means.

[@ajithg796]

Excellent.🎉 Digital Clear concept presentation. No. 1 in the world. No doubt. After watching your classes, I imitated your method of teaching

[@EternalScienceAndTech]

Please keep up the good work. I enjoy your class so much

[@alokkumaryt]

Excellent explaining.🥰 We need full QM

[@anirbanmukhopadhyay6902]

Yes, we need full QM.

[@mariocesarsousa]

Excellent explanation. Little by little i get the phylosophy.❤

[@YossiSirote]

At 10:50 or so you say the psi cannot be infinite, actually we allow a Dirac delta function which is infinite at a point, but integral over that point is 1. Similarly, we can have it be not continuous using delta functions. At 14:40 or so you talk about normalizable, actually we use no normalizable psi’s all the time when we talk about free particles, we then take collections of these to make normalizable wave packets. But non normalizable psi’s are used in QM all the time.

[@FortheLoveofPhysics]

I think I have tried to emphasize on the video (maybe I need to do it more) that there's the THEORY of QM, and then there's actual physical systems and quantities. As I mentioned it many times while discussing the "conditions for a ((physically)) acceptable wave function solution", not all solutions of the SE makes "physical" sense. That does not mean that they might not have "mathematical" relevance! Dirac Delta functions are extremely useful, however, There is NO physical system whose solution is a straight forward dirac delta wave function solution. (it would violate the HUP, as in such a situation the momentum of such a particle will be infinite) Same with FREE particle - the solutions are non-normalizable, hence we introduce the Wave-packet approach (if they were acceptable solutions, we wouldn't need to introduce the wave-packet approach now, would we?). Again, that doesn't mean they are useless. While studying scattering, we can use them to get an idea about reflection/transmission/tunneling etc, but individual separable solutions can NEVER be used for a physical particle. Just because mathematical solutions have relevance in the context of the QM theory, doesn't mean they can be used for physically acceptable solutions. I think you are smart enough to understand this distinction.

[@kaustabhgautam69]

Thank you sir. Very helpful

[@gregoriogutierrezaranibar262]

Beautiful explanation, thank you so much.

[@SergeyPopach]

A wave function is some sort of vector space with infinite dimensions, but it encodes information in terms of a magnitude and phase (that's why it is a complex-valued function). This duality of magnitude and phase within Ψ encapsulates the duality of quantum mechanics itself. The magnitude of Ψ encapsulates measurable quantities related to particle's behaviour. The phase of of Ψ encapsulates the intricate quantum behavior of the system, which is related to wave's behaviour.

[@lepidoptera9337]

Yes, that was complete nonsense. ;-)

[@soumikdas3754]

Very few people is teaching college physics this good in KZbin

[@sweetdannyandlisa6537]

a bit late, but very true

[@sombiryadav5043]

Excellent 🎉

[@muhammadrashidmuhammadrash2585]

So greatful sir❤

[@rushikanagla690]

In example 2 , can I give one more reason that it's not allowed bcz curve has possibility that it's derivative may go to infinite as vertical tangents r also possible ??? Or shall I just consider ur one reason of multiple valued function ,????

[@rahulsarma6250]

Do you have any batch for iit jam physics

[@lajuelar]

I alway follow your lectures sir.

[@labibsoufiane8987]

Thank you very mutch

[@antontabjopko6434]

I tried to leave comment on your special relativity video where you let phi be the angle between the ct and ctprime axis but was not able too. Sorry for posting here but there is a mistake there. You state there tanh phi = beta but this is incorrect. It should state tan phi = beta because when beta is 1 then phi is pi/4. Using your formula phi is infinite for this case. Nevertheless your formula cosh phi = gamma is correct. So tan phi works for angles and tanh phi works for lengths.

[@anjali7396]

Awesome explanations💫.... You explain everything very clearly and in simple language ....its very helpful to understand QM in depth..🤍🤍

[@fredericopires7659]

Very good!!

[@Aryaggg5]

Thank you very much

[@danishshanilshah1180]

Sir please make a video on harmonic oscillator

[@Gamingkakaji]

Sir your vedios are watched by a village boy also so you should try it bilingual E+H. Such a great teacher you are . i found you on 13 sep 2024 at 4:38am Plz make it bilingual plz sir❤

[@rishukumar7158-h1w]

20:10 qn1

[@GUNALANM-k5n]

Thank from CUTN

[@amitkumaryadav-ft3in]

❤❤ thanks sir

[@axona3gaming]

thank you sir

[@mattdangerg]

Normalization constant feels like a hack

[@ujalamarjan]

Thnkuuu sir

[@Pipogamer4809]

psi can be zero or not ?

[@Pipogamer4809]

I got my answer 😅

[@saeedgul6336]

love ❤ from Pakistan 🇵🇰

[@زينالعابدينماجدمحمد]

❤❤❤❤❤❤

[@SirTusharGupta]

Who said Quantum Physics is hard?

[@lepidoptera9337]

Nobody, but what you are getting here is not quantum physics. It's just "shut up and calculate". ;-)

[@usarmour]

🔥🔥🔥🔥📈📈