Need help with bra-ket algebra? Check out these resources!

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    Algebra Bra-ket
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Hey physicists! I'm having trouble getting my head around bra-ket algebra and was wondering if anyone knows any problems/worked solutions to help me understand it. Either that or some tutorial resources.

Thanks,
Andrew
 
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You should probably read this to get started. Not sure where you should look for worked out examples. Perhaps in Sakurai? You can also ask about stuff you're having difficulties with here.

Edit: There's a link in that post to a thread about the Riesz representation theorem. I don't know if you care about that stuff at all, but just in case someone does, this post is better than the one I linked to.
 
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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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