Many-worlds, Schroedinger, Heisenberg pictures

In summary, the many-worlds interpretation of non-relativistic QM favors the Schrodinger picture over the Heisenberg picture. However, in canonical quantum gravity, the two pictures are identical. In relativistic QFT, the Schrodinger picture is also preferred for the many-worlds interpretation, but the issue of relativistic covariance can be addressed through the use of many-time formalism.
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atyy
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I've usually heard the many-worlds interpretation described in the Schroedinger picture, in which the wave function evolves unitarily. Does a Heisenberg picture exist for many-worlds, or is the Schroedinger picture more fundamental in that interpretation?
 
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In the many-world interpretation of non-relativistic QM, the Schrodinger picture is certainly more fundamental than the Heisenberg one.
But this is not really so in canonical quantum gravity, where the two pictures are identical.
 
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  • #3
Demystifier said:
In the many-world interpretation of non-relativistic QM, the Schrodinger picture is certainly more fundamental than the Heisenberg one.
But this is not really so in canonical quantum gravity, where the two pictures are identical.

Because there is no time evolution in canonical quantum gravity (time evolution is a gauge transformation)?
 
  • #4
atyy said:
Because there is no time evolution in canonical quantum gravity (time evolution is a gauge transformation)?
Yes.
 
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How about relativistic QFT? Or do you think MWI doesn't satisfactorily address that, because MWI seems to pick a preferred foliation?

Also, how about canonical quantum gravity in AdS? I think canonical quantum gravity in AdS has time evolution (I think the Hamiltonian is not zero because of the AdS boundary condition, which is one of the reasons AdS/CFT is possible, since the bulk inherits its time evolution from the boundary CFT).
 
  • #6
atyy said:
How about relativistic QFT?
In relativistic QFT Heisenberg and Schrodinger pictures are different, so Schrodinger picture is the preferred one for MWI.

The question of relativistic covariance is a separate issue. It can be made covariant by using many-time formalism.
 
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1. What is the Many-worlds interpretation of quantum mechanics?

The Many-worlds interpretation (MWI) is a theory in quantum mechanics that suggests the existence of multiple parallel universes, each with different versions of reality. It proposes that every time a quantum measurement is made, the universe splits into multiple copies, with each possible outcome occurring in a different universe.

2. Who were Schroedinger and Heisenberg and what are their contributions to quantum mechanics?

Erwin Schrödinger and Werner Heisenberg were two prominent physicists who made significant contributions to the development of quantum mechanics. Schrödinger is best known for his wave equation, which describes the behavior of quantum particles, while Heisenberg is known for his uncertainty principle, which states that the more precisely we know a particle's position, the less we know about its momentum, and vice versa.

3. What is the difference between the Schroedinger and Heisenberg pictures in quantum mechanics?

In the Schroedinger picture, the quantum state of a system evolves over time according to the Schrödinger equation, while the operators that represent physical observables remain constant. In the Heisenberg picture, it is the operators that evolve over time, while the quantum state remains constant. The two pictures are mathematically equivalent and can be used interchangeably to describe the same physical system.

4. How does the Many-worlds interpretation affect our understanding of reality?

The Many-worlds interpretation challenges our traditional understanding of reality by proposing the existence of an infinite number of parallel universes. This means that every possible outcome of a quantum measurement exists in a different universe, leading to the idea that there is no single objective reality, but rather a multitude of different realities.

5. What evidence supports the Many-worlds interpretation?

Currently, there is no direct evidence that supports the Many-worlds interpretation. It is a theoretical concept that has been debated among physicists since its inception in the 1950s. However, some argue that the Many-worlds interpretation offers a more complete and elegant explanation of quantum mechanics compared to other interpretations, and it has gained popularity among some physicists in recent years.

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