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### Why atom has the straight discrete energy levels? [duplicate]

Interaction between a nucleus and electrons is in gravity(not considering) and electrostatics. Due to electrostatics nucleus attracts electrons. The force that describes this process is F=k\dfrac{...
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### Why can't an energy level exist containing 0.9 electron wave wavelengths? Why must it be a whole number? [duplicate]

So, I was reading Atom: Journey Across The Subatomic Cosmos by Isaac Asimov in order to better understand quantum mechanics when I came across this sentence: The electron couldn't spiral into the ...
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### What does it actually mean for an electron to be excited? [duplicate]

I've been confused on the connection between photons and electrons for a very long time. Some examples of questions I"ve asked are linked here: What produces higher frequency light? Frequency of ...
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### Why do nodes exist in wavefuncions of electrons? [duplicate]

Nodes are points in space around a nucleus where the probability of finding an electron is zero. However, is there a reason for the existence of Nodes? I'm looking for an intuitive explanation if ...
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### Interference patterns of the orbital electron wave functions [duplicate]

I am new to this site so please forgive my initial errors of form or protocol. It has been fascinating to read the many explanations of why electrons don't "fall" into the nucleus and how we need to ...
3k views

### Could the Periodic Table have been done using group theory?

These three questions are phrased as alternative-history questions, but my real intent is to understand better how well different modeling approaches fit the phenomena they are used to describe; see 1 ...
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### Is the Mendeleev table explained in quantum mechanics?

Does anybody know if there exists a mathematical explanation of Mendeleev table in quantum mechanics? In some textbooks (for example in F.A.Berezin, M.A.Shubin. The Schrödinger Equation) the authors ...
4k views

### What is “quantization”? Give one example [duplicate]

I just want to know the definition/explanation of quantization in layman's terms. Also an example would be very helpful if provided (not necessary).
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### Radial Probability Function of 3s Orbital

I am an older student returning to the field, trying to reteach myself the basics and have run into a problem interpreting a pattern I see. In an introductory book explaining atomic orbitals of a ...
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### Aufbau principle in modern quantum theory

What is the rigorous definition of the Aufbau principle and the mathematical model used for its description? From Wikipedia, we have that the principle postulates a hypothetical process in which an ...
My question is a duplicate of this. Please consider the equation $\nabla^2\psi + (2m/\hbar^2)[E-V]\psi=0$ (1) Potential of electron revolving hydrogen atom is given as \$V=\frac{-e}{4\pi\...