Quantum Mechanical Operators - A Question Or Two

dweeegs
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A couple questions: is mass quantized? Energy is quantized, and momentum has eigenvalues for its operator so I took that to mean that momentum is also quantized.

If those two are true (might not be! I'm new to this :-p), following

E^2 = (pc)^2 + (mc^2)^2

Would that not mean that mass is also quantized?

And the actual question I wanted to ask:

Is there an operator associated with mass?
 
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Energy is not necessarily quantised eg a free particle does not have energy quantised. Mass is gained by interaction with the Higgs field, but I am not expert enough in the theory to know if it implies mass is quantised - I don't think it does - but don't know the details well enough to be sure.

And yes there is an operator associated with mass - its a scalar.

Thanks
Bill
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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