How many quantum numbers would the system have overall?

In summary, quantum numbers are important in a system because they describe the energy levels and other characteristics of particles at the subatomic level. There are typically four quantum numbers in a basic quantum mechanical system - principal, azimuthal, magnetic, and spin - each with their own role in describing the properties of particles. These properties, determined by the quantum numbers, ultimately affect the behavior and interactions of particles in the system. While the quantum numbers of a system can change under certain conditions, the total number of quantum numbers remains constant.
  • #1
uskalu
39
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If the angular momenta about three axes of rotation in a central potential did commute, how many quantum numbers would the
system have overall?
 
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  • #2


If this is a homework question, it's not asked in the appropriate subforum. There's a subforum dedicated to HW questions.

I would like to help you find the answer to your question by yourself. That's why I'm asking you if you know other vector observable of a quantum system whose 3 components would commute among each other.
 

1. What are quantum numbers and why are they important in a system?

Quantum numbers are a set of values that describe the energy levels and other characteristics of particles in a quantum system. They are important because they help us understand and predict the behavior of particles at the subatomic level.

2. How many quantum numbers are there in total for a system?

The total number of quantum numbers in a system depends on the type and complexity of the system. However, for a basic quantum mechanical system, there are usually four quantum numbers - principal, azimuthal, magnetic, and spin.

3. What is the role of each quantum number in a system?

The principal quantum number (n) describes the energy level of an electron, the azimuthal quantum number (l) describes the orbital shape, the magnetic quantum number (ml) describes the orientation of the orbital, and the spin quantum number (ms) describes the spin of the electron.

4. How do the quantum numbers affect the properties of a system?

The quantum numbers determine the energy levels and other characteristics of particles in a system, such as their orbital shape, orientation, and spin. These properties ultimately affect the behavior and interactions of particles in the system.

5. Can the quantum numbers of a system change?

Yes, the quantum numbers of a system can change under certain conditions, such as when particles interact with each other or when energy is added or removed from the system. However, the total number of quantum numbers in a system remains constant.

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