Solving the quantum harmonic oscillator via analytic method (Made Easy)

[@jaganl5036]

As a fellow student who majors in physics, the explanation is just crystal clear and frankly i understood it way better than any textbook explanation. Thank you very much 👍, and good luck in your future endeavours 🎉

[@yashish5473]

I cant imagine how much effort this video must have taken , thank you for the good work you do , you should be appreciated even more!!

[@atalaiaestelar4336]

you are so very right when you say that people just omit a lot of stuff while explaining this, and i dont understand why. it would take some time for professors and books to explain it like you did, but it would save us a lot more time

[@Nebelfleck]

The best one ever, I'm taking QM course along with special functions and hardly could find someone clarify the ambiguity of the last step. It brings some shame, it was totally infront of me! I'm so thankful anyway

[@gokcen6453]

Thank you so much!!! I have been struggling with textbooks and lecture notes to understand but your videos saved my life. I really appreciate your effort and motivation to make videos. Thank you so so much :')))

[@upliftyourmindandspirit]

This was really really amazing 1 hour of learning some new insight! Thank you Nick.

[@Vivi-kx8cw]

i appreciate this video so much! having the contents separated into sections helped remind me of the bigger-picture goals that you were solving for. thank you for putting so much effort into this.

[@NickHeumannUniversity]

I'm glad this was helpful to you!

[@jacobkogan5986]

Huge respect!! Thanks a lot, man, it really helped!

[@SwapnilMishra-nk1wo]

a very clear explanation

[@luciod7776]

Hi, I really appreciate the effort you put into deeply explaining every step of the process. I was looking exactly for a video like this! Your channel is gold to me, nice work!!

[@NickHeumannUniversity]

thank you! I really appreciate that!

[@Viishal_Prajapat]

Very Well Explained Thank You

[@antonludwigaugustvonmacken8680]

So damn helpful thank you! I was working through series solutions for differential equations in Mathematical Methods for Physics and Engineering but Griffith's attack on these was still confusing. Great work!

[@karancontractor586]

Thnks alot, worked in 1/2hr on this topic bcz of u b4 exams

[@canfac8987]

Good stuff bro! This really helped me. I hate that Griffiths just glance over the details.

[@NickHeumannUniversity]

I'm glad my video was useful! Yes, Griffith's doesn't go into enough details, which is why I decided to start this channel :D

[@isisi.ramirezvaldes3493]

I love your explanation, it really, really helps me to understood all the process to obtain the solution

[@paladin1147]

Really awesome videoooo but you don't need to start at j = 1 or j = 2. 25:00 The j inside takes care of it. It will go zero when j = 0 or j = 1 when (j-1) becomes zero.

[@DaFireElf]

holy shit thank you so so so much. i spent hours trying to watch videos and follow along griffith's to figure this out. im gonna name my first child after u thank u

[@qianzhang2031]

keep going, no fancy things, just the solution!

[@tsweta13]

tq so much you made this easyyy for me thankssss

[@harrik2465]

Great video, many thanks!

[@lellol6274]

Thank you so much for the effort, this video is awesome and i understood the concept way easily I have an exam and i was losing hope, but now i have a channel where i will come visit after every session 🤌🤌

[@uruhara6713]

Wow.. i really appreciate this lecture....i was so confused by this topic that I procastinated studying quantum 😅..but thanks to u for making thise topic very very understandable..👍

[@NickHeumannUniversity]

Im glad I was able to help

[@Nana-ek4zg]

thank you very much

[@friends53392]

Thank u so much !,,,! Crystal clear

[@griffithfimeto3387]

You are amazing , thank you ♡

[@aiswaryadevassy1119]

Thank you

[@sajjadnaghshegar3506]

love u man

[@micolcresto-dina3281]

amazing

[@alvarocastaneda5084]

me salvaste el ramoo

[@ThingsICareAbout]

me alegro :D

[@yogeshjainbhansali8082]

King you dropped your crown *insert crown emoji*

[@Preeti-zs4js]

12:20.....after integration ,we will get d(psi)/dE ={E^3/3} *(psi). how....... d(psi)/dE = E*psi came??????

[@NickHeumannUniversity]

You are doing the integral wrong. You have to do separation of variables first! before you can integrate

[@bitamasomi]

Keep going! 💗💗

[@NickHeumannUniversity]

thank you!

[@griffithfimeto3387]

Why j =0 and j=2 for n =2 I don't understand why j=0 !

[@NickHeumannUniversity]

please tell me the timestamp so I can know what you are refering to

[@griffithfimeto3387]

43.26

[@NickHeumannUniversity]

@@griffithfimeto3387 Oh, those are the conditions derived from the reccurence relations. I recommend that you write the relation out and analyze it carefully. At around 37:30 I explain it a bit more. Your sum needs to end, so we found a condition for the maximum j for each n

[@griffithfimeto3387]

Ok I'll tell what i understood , j is less or equal n , when i took n is even number all odd n and j zero and opposite true for n odd of all n and j even are zero , if i took n = 6 then j =0 ,2,4 ,6 survive and rest are zero so if i took n 7 then j = 1,3 ,5,7 surrvie and all zero , i hope i got right

[@NickHeumannUniversity]

@@griffithfimeto3387 yes!

[@igorsabadini]

Jesus christ. But thank you

[@ghaisuddin4649]

please use white screen its bad to eye..

[@nadaalqhtani3567]

Thank you so much 🤍🤍🤍🤍🤍🤍🤍🤍🤍🤍🤍!!!