Did I Make a Mistake? A Sign Error in an Exercise Answer

In summary, the Heisenberg picture is a formulation of quantum mechanics where operators representing observables evolve in time, while state vectors remain constant. It is significant because it allows for the analysis of time evolution in quantum systems and a better understanding of observables. It differs from the Schrödinger picture, where the state vectors evolve in time while the operators remain constant. The Heisenberg uncertainty principle, which states that the position and momentum of a particle cannot be simultaneously known, can be visualized and understood through the Heisenberg picture. It also allows for the calculation of the time evolution of uncertainty in a system.
  • #1
lark
163
0
Did I do this right? An exercise in a book where my answer came out opposite from the author's. "camoo.freeshell.org/22.9.pdf"[/URL]
Laura
 
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  • #2
you are right. he has a sign error.
 
  • #3
olgranpappy said:
you are right. he has a sign error.
Thanks for checking.
Laura
 

What is the Heisenberg picture?

The Heisenberg picture is one of two commonly used formulations in quantum mechanics, the other being the Schrödinger picture. In the Heisenberg picture, the operators representing physical observables evolve in time, while the state vectors remain constant. This is in contrast to the Schrödinger picture, where the state vectors evolve in time and the operators remain constant.

What is the significance of the Heisenberg picture?

The Heisenberg picture is significant because it provides a way to analyze the time evolution of quantum mechanical systems. It also allows for a more intuitive understanding of the concept of observables and how they relate to physical measurements.

How does the Heisenberg picture differ from the Schrödinger picture?

In the Heisenberg picture, the operators representing observables evolve in time, while the state vectors remain constant. In the Schrödinger picture, it is the state vectors that evolve in time while the operators remain constant. This leads to different mathematical formulations and interpretations of quantum mechanics.

What is the Heisenberg uncertainty principle?

The Heisenberg uncertainty principle is a fundamental principle in quantum mechanics that states that it is impossible to simultaneously know the exact position and momentum of a particle. This means that the more accurately we know the position of a particle, the less accurately we can know its momentum, and vice versa.

How does the Heisenberg picture relate to the uncertainty principle?

The Heisenberg picture provides a way to visualize and understand the uncertainty principle. In this picture, the observables are represented by operators that evolve in time. This means that the uncertainty in the measurement of an observable at a particular time is related to the evolution of the operator representing that observable. The Heisenberg picture also allows for the calculation of the time evolution of uncertainty in a system.

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