Heisenberg equation of motion - field theory.

In summary, the Heisenberg equation of motion in field theory is a mathematical equation that describes the time evolution of quantum fields. It explains how these fields change over time, interact with each other, and create and destroy particles. It is different from the Schrödinger equation in that it is relativistic and describes the behavior of quantum fields rather than individual particles. While it cannot predict the future behavior of quantum fields, it is a crucial tool in the study of particle physics, quantum electrodynamics, and other practical applications including the development of new technologies.
  • #1
befj0001
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Hi, I'm completely stuck with problem 3a). I have no idea of how to start. Anyone have any clue?http://speedy.sh/9JkCf/handin1-4.pdf
 
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  • #2
No need anymore, I already solved it.
 

1. What is the Heisenberg equation of motion in field theory?

The Heisenberg equation of motion in field theory is a mathematical equation that describes the time evolution of quantum fields. It was first introduced by Werner Heisenberg in 1925 and is a fundamental concept in quantum field theory.

2. What does the equation tell us about the behavior of quantum fields?

The equation tells us how quantum fields change over time. It describes how the fields interact with each other and how they create and destroy particles. It also allows us to calculate the probabilities of different outcomes in quantum interactions.

3. How is the Heisenberg equation of motion different from the Schrödinger equation?

The Heisenberg equation of motion is a relativistic equation, meaning it takes into account the principles of special relativity. The Schrödinger equation, on the other hand, is a non-relativistic equation that only applies to non-relativistic systems. Additionally, the Heisenberg equation describes the behavior of quantum fields, while the Schrödinger equation describes the behavior of individual particles.

4. Can the Heisenberg equation of motion be used to predict the future behavior of quantum fields?

No, the Heisenberg equation of motion can only be used to calculate the probabilities of different outcomes in quantum interactions. This is due to the inherent uncertainty in quantum systems, as described by Heisenberg's uncertainty principle.

5. How is the Heisenberg equation of motion used in practical applications?

The Heisenberg equation of motion is a fundamental tool in quantum field theory, which has numerous practical applications in physics. For example, it is used in the study of particle physics, quantum electrodynamics, and quantum computing. It also plays a crucial role in the development of new technologies, such as superconductors and lasers.

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