Particle in a Box Part 2: Interpreting the Results 

May I know in which field is your Master?

@@zeyadahmed731 i guess you may not

@@EdwardHowton If you're interested in learning this high-level physics and you don't have the mathematical toolbox to understand it, I highly recommend you check out Professor dave's series on math, starting from basic, elementary school math all the way up to vector calculus and linear algebra, and everything in between. But flat earthers are allergic to learning and deny everything their puny minds can't comprehend, like calculus or physics.

@@EdwardHowton This is nothing compared to modern physics today. It takes a lot of time and dedication to just scratch the surface of the mathematics of modern physical theories, because it's just so insanely complicated. Even general relativity is practically nothing compared to that, and it is famous for being hard to understand. It takes years and years of hard work to reach the level of mathematical literacy that these physicists have. That is why I have huge respect for those who are able to participate in developing these theories.

@@EdwardHowton Yes, I agree. I am more of a physics guy, and I know that I am gonna study physics after high school. Because I am so interested in it, I learn as much as possible that my brain can understand, and just this summer I tried to learn as much QM as possible. Now, something I've learned from this experience and just learning physics/mathematics in general is that everything is much easier to understand and much less intimidating once you get used to it. I mean, when you look at something, especially mathematics, for the first time, it looks extremely complicated and intimidating, but once you unpack the symbols and you start getting used to it, you realize that it's not as hard as you first think. When you read my last comment, it probably felt like these physicists are superhuman or something, but I think (and hope) that everyone can reach that level if they really want to, and if they are dedicated enough. Although the mathematics used in the most recent theories are indeed insanely complicated, I think anyone could eventually understand it if they had the dedication and time, for the reasons above. Now, that being said, I completely agree that it's insane how people can fall for something like flat earth. It doesn't even require science or math to debunk it, although it's much easier to see the insanity of their arguments if you know some basis physics. That gravity isn't real, or that water can't curve is by far the craziest of their arguments.

It's perfect for flat earthers since they're ZEROS.

Saying math isn't real means they aren't real themselves. They are made of quantum particles too, requiring such level of math.

Oh, he doesn't know _everything._ But he darn well makes sure he knows what he is talking about before he posts!

@@cguy96 😍😍But I see he knows almost everything.

these are hard to make! i do them as quickly as i can. just revisit them all in a row in a few months to cement the information.

@@ProfessorDaveExplains Okay,thank you!😀

@@ProfessorDaveExplains Really appreciate the work you're doing

Also since kinetic energy is always positive (velocity squared) it cannot be equal to 0 if there is motion (regardless of moving in the +ve or -ve direction)

yep that one is coming

@@ProfessorDaveExplains Are you still working on it? I would love it if you could continue on this series. Your videos help me understand complicated stuff easier.

Yes sorry! I have two more almost ready to produce and then there will be at least four more after that.

@@ProfessorDaveExplains Wow, Thanks for replying.

These aren’t vectors, they’re wave functions, this is representing a standing wave (look up wave on a string), which is a left travelling wave and right travelling wave, these two values are not equal everywhere.

hmm i hadn't really considered it, i'll ask my partner manager

I will release it soon! And more after that.

@@ProfessorDaveExplains Wow, maybe it will simultaneous with my uni lectures :)

Releasing them soon!

a few videos back in the modern physics playlist, either the one on operators or the one after

Professor Dave Explains Thanks

Check out my tutorial on nuclear reactions. Proton/neutron ratio is off, nucleus too large, etc.

@@ProfessorDaveExplains Thanks.

@@ProfessorDaveExplains So, is it safe to say that tunneling and hence transmutation of elements is just much more likely when the nucleus is large or the ratio of protons to neutrons is unfavorable? In other words, is it that the potential to overcome is much lower than in a stable element? I.e, in theory tunneling can still occur in stable elements but the half life is very large? BTW, can half lives be calculated knowing the atomic mass number and atomic number?

I don't really know of any connection between quantum tunneling and nuclear decay. But yes, those are the reasons a nuclide would decay. Half lives aren't calculated, they're measured empirically.

i use adobe after effects, it's the best! very easy to use

@@ProfessorDaveExplains What about the camera and microphone professor?

for these ones no camera, just audio. i use a crappy mic i got a radio shack for like 40 bucks forever ago, sounds surprisingly decent

Well this is a bit of a miniseries so start at the one on operators in quantum mechanics in my modern physics playlist to get more context. But for the math that's eluding you, visit my mathematics playlist and head towards the bottom, all the linear algebra and calculus is there for you!

Pretty much. It's a name given by a critic of the concept of imaginary numbers, that leads people to believe these numbers lack any real world application.

If n is negative you get -sin then it's just the same but multiplied by the scalar (-1) And as we know the physics don't change when the wavefunction is multiplied by a scalar So considering the negative n cases is redundant (it's considering twice the same wave functions) Therefore we stick with the positive values of n Hope this helps

@@cafe-tomate Θανκ ιου.

I think energy can be less than zero, if the potential goes below zero