I How is the Schrodinger equation related to the Heisenberg equation?

Thamyres MARTINS
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How is the Schrondinger equation related to the Heisenberg equation?
 
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Thamyres MARTINS said:
How is the Schrondinger equation related to the Heisenberg equation?
You marked this thread as "A" level. That indicates that you have a graduate level background in the subject matter. If you do have such a background, you should already know the answer to this question.

What is your actual background in QM?
 
And in the meantime, the thread level has been set to "I", perhaps more appropriate for the question.
 
Should be treated in all QM textbooks I guess (like Sakurai, Shankar). In the Schrödinger picture, the states evolove and operators do not, in the Heisenberg picture it is the other way around. Thus, the Schrödinger equation deals with the time evolution of states, and the Heisenberg equation deals with the time evolution of operators.
 
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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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