How is the Schrodinger equation related to the Heisenberg equation?

In summary, the Schrödinger equation and the Heisenberg equation are two different formulations of quantum mechanics that describe the evolution of states and operators, respectively. In the Schrödinger picture, states evolve while operators remain constant, while in the Heisenberg picture, it is the opposite. Both equations are equivalent and can be found in most textbooks on quantum mechanics.
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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?
 
  • #3
And in the meantime, the thread level has been set to "I", perhaps more appropriate for the question.
 
  • #4
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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Related to How is the Schrodinger equation related to the Heisenberg equation?

1. What is the Schrodinger equation?

The Schrodinger equation is a mathematical equation that describes how the quantum state of a physical system changes over time. It is a fundamental equation in quantum mechanics and is used to predict the behavior of particles at the atomic and subatomic level.

2. What is the Heisenberg equation?

The Heisenberg equation, also known as the Heisenberg uncertainty principle, is a principle in quantum mechanics that states that the more precisely the position of a particle is known, the less precisely its momentum can be known, and vice versa. It is a fundamental principle in quantum mechanics and has implications for the measurement of particles at the atomic and subatomic level.

3. How are the Schrodinger and Heisenberg equations related?

The Schrodinger and Heisenberg equations are two different mathematical formulations of quantum mechanics. The Schrodinger equation describes the time evolution of a quantum system, while the Heisenberg equation describes the uncertainty in the measurement of a particle's position and momentum. Both equations are fundamental in understanding the behavior of particles at the quantum level.

4. Can the Schrodinger and Heisenberg equations be used interchangeably?

No, the Schrodinger and Heisenberg equations are two different mathematical formulations of quantum mechanics and cannot be used interchangeably. The Schrodinger equation is used to predict the behavior of a quantum system over time, while the Heisenberg equation is used to describe the uncertainty in the measurement of a particle's position and momentum.

5. Why are the Schrodinger and Heisenberg equations important?

The Schrodinger and Heisenberg equations are important because they are fundamental in understanding the behavior of particles at the atomic and subatomic level. They allow us to make predictions about the behavior of quantum systems and have led to many technological advancements, such as the development of transistors and lasers.

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