Schrodinger equation solutions to the hydrogen atom

In this video, we shall solve the Schrodinger equation for an electron orbiting around a positive charged motionless proton, that of the problem of a hydrogen atom. We shall derive the explicit form of the electron wavefunction, or the so-called atomic orbitals, and will also visualize the shapes of these orbitals. We shall also obtain their discrete energy levels, and discuss how the transitions between these discrete levels give rise to the emission spectra as described by the Rydberg formula.

Technical Content: Tony Low
Video Production: Katie Low, Tony Low

[SyedAbbasAhmad]

The explanation is amazing but kindly use your own voice. The AI generated voice sounds terrible.

[AnthonyVaz-iojv]

Is there a way to derive the Schrödinger equation from Lagrangian dynamics by an expression for kinetic and potential energy? If this is explained in a textbook, please give me a reference. Your videos are excellent. I would like to learn more about this topic. Thank you!

[MuhammedmehdiTaqsh]

I want solution of Schrödinger equation for hydrogen atom for two parts radial and angular as pdf file

[SampleroftheMultiverse]

Thanks for your interesting video.

Your viewers might enjoy this video showing under the right conditions, the quantization of a field is easily produced.

The ground state energy is induced via Euler’s contain column analysis. Contain column m must come in to play before over buckling or the effect will not work. The system response in a quantized manor when force is applied in the perpendicular direction. Bonding at the points of highest probabilities and maximum duration( peeks and troughs) of the fields/sheet produced a stable structure out of three fields

People say I am just plucked guitar strings. I said you can not make structures with vibrating guitar strings or harmonic oscillators.


At this time I’m my research, I have been trying to describe the “U” shape formed.

In the model, “U” shape waves are produced as the loading increases and just before the wave-like function shifts to the next higher energy level.

Over-lapping all the waves frequencies together using Fournier Transforms, I understand makes a “U” shape or square wave form.

Wondering if Feynman Path Integrals for all possible wave functions could be applicable here?

If this model has merit, seeing the sawtooth load verse deflection graph produced could give some real insight in what happened during the quantum jumps.
The mechanical description and white paper that goes with the video can be found on my YouTube page.

You can reproduce my results using a sheet of Mylar* ( the clear plastic found in school folders.
Seeing it first hand is worth the effort!

[observer_here]

Solving Schrodinger Equation Solutions On Hydrogen Atom Take 3 months 😞 🤥