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HiggsBoson1
- 10
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I don't understand why quantum numbers can not be divided into half integers and so on. The books I have read do not give clear explanations. Would anyone mind helping me understand this? Thanks!
That was really helpful! Thanks a lot! :)bhobba said:What quantum numbers are you talking about?
If you are talking about spin quantum numbers then any decent book on QM will prove from the angular momentum commutation relations why its quantized.
If you are talking about solutions to Schroedinger's equation then that is not always quantized, and when it is it depends entirely on the Hamiltonian:
http://www.physics.ox.ac.uk/Users/smithb/website/coursenotes/qi/QILectureNotes3.pdf
Thanks
Bill
HiggsBoson1 said:I don't understand why quantum numbers can not be divided into half integers and so on. The books I have read do not give clear explanations. Would anyone mind helping me understand this? Thanks!
Quantum numbers are a set of numerical values that describe the energy states and properties of particles in quantum mechanics. They are used to identify and distinguish between different quantum states.
There are four main quantum numbers: the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (ml), and the spin quantum number (ms). However, there are also additional quantum numbers that are used for more complex systems.
Quantum numbers are important because they help us understand the properties of particles and their behavior in different energy states. They also help us predict and explain the behavior of atoms and molecules.
Quantum numbers are determined by solving the Schrödinger equation, which describes the behavior of particles in quantum mechanics. The values of the quantum numbers are then used to describe the energy level, shape, and orientation of the particle's wave function.
Yes, quantum numbers can change when a particle undergoes a transition to a different energy state. This can happen through processes such as absorption or emission of energy, or through collisions with other particles.