What Are Quantum Numbers and How Are They Calculated?

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SUMMARY

This discussion centers on the concept of quantum numbers, specifically their relation to particle spin and the representation of different particles through spherical harmonics. Quantum spin does not have a direct classical equivalent, but it can be visualized as various modes of vibration of a sphere. The symbols mentioned, such as p2, k4, and f3, are associated with these quantum states and can be confusing for learners. The conversation emphasizes the need for clearer explanations and visual aids to enhance understanding of these complex topics.

PREREQUISITES
  • Understanding of quantum mechanics fundamentals
  • Familiarity with spherical harmonics
  • Basic knowledge of particle physics, including hadrons and bosons
  • Concept of quantum spin and its implications
NEXT STEPS
  • Research the mathematical framework of spherical harmonics
  • Study quantum mechanics principles related to particle spin
  • Explore detailed resources on quantum numbers and their calculations
  • Examine visual representations of quantum states and vibrations
USEFUL FOR

Students of physics, educators teaching quantum mechanics, and researchers interested in particle physics and quantum number calculations will benefit from this discussion.

dbmorpher
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I have read many sources about quantum numbers and I know they have to do with the spin or types of particles in a hadron or boson, but I do not understand how spin could calculated or what it means. There was also something that had symbols that were like, p2, k4, f3...
I just don't understand this and wikipedia isn't helping
Would love to learn more,
dbmorpher
 
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hi dbmorpher! :smile:

quantum spin doesn't really have an exact analogue to classical spin

however, i personally like to think of the quantum numbers as being like the possible vibrations of a sphere (like the sun) …

it can pulse in and out spherically

or it can squeeze in and out like a concertina

or …​

each possible mode of vibration corresponds to a spherical harmonic which in turn corresponds to quantum numbers

so i personally think of different but related particles as being the same particle vibrating in different ways o:)
dbmorpher said:
There was also something that had symbols that were like, p2, k4, f3...

those letters and numbers are just there to confuse you :biggrin:

here's a pretty diagram from http://en.wikipedia.org/wiki/Spherical_harmonics
300px-Harmoniki.png


(and for what it's worth, here's an unhelpfully detailed description of mine … https://www.physicsforums.com/showpost.php?p=4002275&postcount=5)
 
Okay thank you
 

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