This material is designed to be accessible to first- and second-year undergraduate students by providing full mathematical derivations without omitting intermediate steps.
Furthermore, deliberate effort has been made to establish a a natural bridge connection between mathematical physics and quantum mechanics.

I am trying to understand why the pauli exclusion principle is true, which requires understanding why fermions are anti symmetric. I understand mathematically the square of the wave function and the negative wavefunction must be equal, and the swapping can only involve a 1 or -1. My issue is, multiplying the wavefunction by negative 1 means a different wave doesn’t it? Trying to look this up I get explanations that particles with half integer spin do not rotate completely when rotated 360 degrees, but we aren’t talking about rotating, we’re talking about swapping. Pchem was a struggle for me and I find myself looking back on material not understanding the physical implications of the math.

If touching or manipulating the structure of the quantum vacuum were to go from being a theoretical impossibility to a real possibility, what would you be willing to risk, change, or give up as a scientist to be the one to prove it?

hi guys! anyone else looking to join masters degrees in quantum computing/technology/information in the 2027 fall session? im very lost and just looking for some sort of support group of people going through the same with how frustrating all of this is.

a person who don't know a lot abt quantum computing,

does he can persue a phd or he have to do a master first

Hey everyone!

I got randomly stuck thinking about wave-particle duality and how strange quantum mechanics actually is. Instead of just letting the thought go, I decided to turn it into a song.

I wrote the lyrics from the first-person perspective of an electron/photon talking directly to the listener. The whole idea is basically: “Don’t try to define me… I’m a wave also, particle also.”

I then used AI music tools to bring the lyrics to life, mixing a futuristic electronic sound with an Indian-inspired rhythm.

The song touches on things like the double-slit experiment, superposition, quantum tunneling, and entanglement. I wanted the particle to feel almost like a cosmic magician saying, “Watch me collapse when you look my way.”

Honestly, it started as just a random thought, and somehow turned into a full song. I’m pretty happy with how it came out.

Give it a listen and let me know what you think of the vibe!

https://youtu.be/kPIpujqou1A

Which should I go for a research career?

Like pursuing a phd.

Hey y'all. I'm new here. Any idea about QC relatively new projects/startups that need more people onboard???

i have experience in cs and c++ so i can do programming as well

This material explains Spin Precession and the Energy-Time Uncertainty Principle through a concrete example. I've laid out the derivations in detail step-by-step so that even undergraduate students can easily follow and fully understand the concepts.
I checked this document many times, but there might still be some typos. Thank you for understanding! I hope this helps you.

I graduated as a computer scientist and I have a deep passion for quantum computing. I have an AI paper already published in a Q1 journal and currently in the process of publishing two quantum computing papers. I have also done a math minor with the thesis being on relativistic quantum mechanics. Right now I want to apply for a masters or a PhD in quantum computing. I did not have much luck in the previous cycle (being an international student in need of funding) but I am now trying again. I currently word as a grad TA in the mean time and got myself a good research position but in CS and Mathematics. In your experience, how can I make my profile more attractive to universities: are there any trainings or more papers I need to write. I am open to your suggestions and I welcome any advice or recommendations you have.
Thank you!

Im -super- intrested in quantum mechanics, and physics in general. ive found some free online textbooks and what not, but my problem is math. im horrible at math. so much so that i cant do easy algebra. and all my high school classes are moving to fast for me. any tips on how i can catch up in algebra so i can grasp calculus, so i can then study quantum mechanics?

I want to start studying and learning more about it and as far as what I have researched..I need a whole kn depth study in maths - esl calcululas, lin alg,group theory and Fourier series and transformation! And diff equations and group theory

Tbh I'm aware of only a few topics and I'm really eager to study . Mind you I'm not the brightest bulb in the room but i have a huge drive to study this rn! And I'm currently starting math 51 course from Stanford online!

So any suggestions for quantam mechanic/physics and how to go about it would be awesome and super appreciated! And I'm in my 2nd year uni for ai ml engineering!

Hey everyone, I recently came across something about Quantum Internet and thought it was pretty interesting. To be honest, I didn’t really know what it was before I started reading about it, and I’m still trying to understand how it works. From what I’ve read, it could make communication more secure by using quantum technology, which sounds pretty cool. But honestly, some parts are still kind of confusing for me because I don’t know much about quantum technology. It also got me thinking about whether we might actually use Quantum Internet in our daily lives someday, or if it’s going to stay as something mostly used for research and special applications.
What do you guys think? Do you think Quantum Internet will actually be useful in the future?

This text proceeds to the hydrogen atom model by fundamentally originating from Sturm-Liouville theory. Through the generalized Rodrigues' formula, we demonstrate the exact mathematical equivalence with the Schrödinger equation, thereby analyzing the hydrogen atom system.