How is the Schrodinger equation related to the Heisenberg equation?

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Discussion Overview

The discussion centers on the relationship between the Schrödinger equation and the Heisenberg equation within quantum mechanics. It explores theoretical aspects and interpretations of these foundational equations.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the background of another, implying that a graduate-level understanding is expected for discussing the topic.
  • Another participant suggests that the thread's level should be adjusted to "I," indicating a perceived mismatch in the complexity of the question.
  • A participant explains that in the Schrödinger picture, states evolve while operators remain static, whereas in the Heisenberg picture, the situation is reversed, with operators evolving over time.
  • A link is provided to a Wikipedia article discussing the equivalence of the Heisenberg equation to the Schrödinger equation, suggesting further reading on the topic.

Areas of Agreement / Disagreement

There is no clear consensus on the level of the discussion or the background knowledge required. Multiple viewpoints regarding the complexity of the question and the relationship between the two equations are present.

Contextual Notes

Some assumptions about the participants' backgrounds and the expected level of discussion are not explicitly stated. The relationship between the Schrödinger and Heisenberg equations may depend on specific interpretations of quantum mechanics.

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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