I Why this system has a rotational symmetry in Dirac equation?

winding bird
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why system has a rotational symmetry in dirac equation?
is that a general property of all systems?
 
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Because Dirac equation was initially applied to free-electrons and an electron in hydrogen atom. Space of constant potential and that containing only one atom (generally multiple electron) must have rotational symmetry. If, however, you want to extend Dirac equation to diatomic molecules, rotational symmetry does not apply.
 
blue_leaf77 said:
Because Dirac equation was initially applied to free-electrons and an electron in hydrogen atom. Space of constant potential and that containing only one atom (generally multiple electron) must have rotational symmetry. If, however, you want to extend Dirac equation to diatomic molecules, rotational symmetry does not apply.
Thank you so much. it's really helpful!
 
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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