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Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.

1 vote
1 answer
631 views

Three operators commuting with each other

It is well known that if two operators commute, the it is possible to find common eigenfucntions for them. What if we have 3 operators that commute with each other? Will we find common eigenfunctions …
Omar Ali's user avatar
  • 756
0 votes
2 answers
192 views

Level spacing as system size increases

Why does the eigenenergies of a certain system come closer to each other as the system size increases? Is this general for all systems?
Omar Ali's user avatar
  • 756
1 vote
3 answers
688 views

Energy in one wavelength

I know that the energy of one photon equals $E=hf$ and that concept of photons came from the photoelectric effect. My question here can we assume that a photon equals one wavelength for example if we …
Omar Ali's user avatar
  • 756
1 vote
1 answer
2k views

Proof for quantized angular momentum [duplicate]

In Bohr's model, Bohr stated that the angular momentum of the electron is quantized and stated that $$L=\frac{nh}{2\pi}$$ So what is the proof for that equation or, in other words, how did he derive t …
Omar Ali's user avatar
  • 756
4 votes
1 answer
2k views

How did we discover that hydrogen has 1 proton?

How did we know or discover that hydrogen has 1 proton and 1 electron. I know the atomic structures throughout the history, but still remains my elementary level question how did we know that certain …
Omar Ali's user avatar
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