Under what conditions will wave functions collapse in double slit experiments?

In summary, the answer to all four questions is "yes" in most interpretations, where "detection" is equivalent to "collapse". However, the exact definition of "detection" may vary and in some interpretations the answer may be "no". The concept of "collapse" is closely tied to our role as observers and can affect the outcome of experiments.
  • #1
AlonsoMcLaren
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1. Will wave functions collapse in a photon double-slit experiment after we place a detector at one of its slits and detect one photon?

2. Will wave functions collapse in a photon double-slit experiment after we detect a photon on the screen?

3. Will wave functions collapse in an electron double-slit experiment after we place a detector at one of its slits and detect one electron?

4. Will wave functions collapse in an electron double-slit experiment after we detect an electron on the screen?
 
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  • #2
In most commonly accepted Bohr's (Copenhagen) interpretation:
1. Yes.
2. Yes.
3. Yes.
4. Yes.
At Copenhagen: 'detection' <=> 'collapse', but don't try to ask Danes for too precise definition of 'detection'. They used to keep common sense.

In some other interpretations the answer may be 4 * 'No'.

In yet another the answer may be: 'the question is meaningless'. (I am closest to that one, although I often use common-sense-Copenhagen approach, especially if I am supposed to calculate something rather than disputing metaphysics of 'collapse')

Try to answer only one question: 'how may you tell if the wavefunction is collapsed or not'?
Propose experimental test.
 
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  • #3
Yes, I would say the answer is "yes" to all 4 questions in any interpretation where "collapse" is included in the description. Collapse just means the replacement of indefiniteness with definiteness. Note that whenever this happens, something else that used to be definite is now indefinite, so what we mean by "collapse" very much exposes our choices for how we are talking about the particle, and our motivation for doing the experiment. Hence collapse is not so much an interpretation of the theory of quantum mechanics, as it is an interpretation of our roles as observers.
 

FAQ: Under what conditions will wave functions collapse in double slit experiments?

1. What is the double slit experiment?

The double slit experiment is a classic experiment in quantum mechanics that involves shining a beam of particles, such as electrons, through two parallel slits and observing the resulting pattern on a screen. This experiment has been used to demonstrate the wave-particle duality of matter, which means that particles can exhibit both wave-like and particle-like behavior.

2. What is wave function collapse?

Wave function collapse is a phenomenon in quantum mechanics where the probability distribution of a particle's location changes from a spread-out wave-like pattern to a single point as a result of being measured or observed. This collapse occurs when the particle interacts with its surroundings and becomes localized in a specific position.

3. What factors affect wave function collapse in double slit experiments?

The main factor that affects wave function collapse in double slit experiments is the presence of an observer or measurement device. When the particles are observed or measured, their wave-like behavior collapses into a single point. Other factors that can influence wave function collapse include the type of particles being used, the distance between the slits, and the environment in which the experiment is conducted.

4. Can wave function collapse be predicted?

No, wave function collapse is a random and unpredictable event in quantum mechanics. The probability of collapse can be calculated using mathematical equations, but the exact outcome cannot be predicted with certainty.

5. What are the implications of wave function collapse in double slit experiments?

The implications of wave function collapse in double slit experiments are still a topic of debate among scientists. Some argue that it shows the importance of the observer in shaping reality, while others suggest that it points to the limitations of our understanding of the quantum world. It is clear, however, that wave function collapse plays a crucial role in the behavior of particles at the quantum level.

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