Is the wave function/packet an actual property

In summary, the conversation discusses the concept of superposition in quantum mechanics and its relationship to classical physical space and distance. It is stated that superposition is not subject to physical space and can be observed anywhere the wave function allows. The conversation also mentions the PBR theorem, which relies on the assumption of a real physical state independent of the observer and not entangled with other systems. This assumption is not shared by all interpretations of QM, such as the statistical and most versions of Copenhagen.
  • #1
batmanandjoker
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Or is it a statistical calculation of where the particle could possibly be. If its a property of nature then it must have a limit, distance at which it seaces to exist. Also a second question does space time exist in QM and if it doesent then why does it exist in the classical world which it does exist doesent it? I am asking this because the wave functions/ superposition of macro objects is infentismly small but what I want to know is the wave packet/superposition of macro objects subject to classical physical space/distance?

Any help would be greatly appreciated sorry for the spelling my spell check doesent work.
 
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  • #2
Of course its a property, just like the probabilities of a dice is a property of the dice assoicated with each face.

Your assumption 'If its a property of nature then it must have a limit, distance at which it seaces to exist' does not follow from 'property'

Of course space and time exist.

I suspect you are still not quite up to speed on what a superposition is - its simply the vector space property of the funny kind of probability QM uses.

Rock bottom, from the formalism alone, QM is simply a generalized probability model. Its the simplest such model that allows continuous transformation between so called pure states, or, equivalently allows entanglement, again without going into the technical detail of the words I have bandied about, or even exactly what they mean. The meaning of QM is another matter - that requires an interpretation. It's like when you throw a dice - probability theory doesn't tell us which face will come up - nor even why a face comes up - its silent about that.

Thanks
Bill
 
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  • #3
but what I want to know is the wave packet/superposition of macro objects subject to classical physical space/distance?
 
  • #4
batmanandjoker said:
but what I want to know is the wave packet/superposition of macro objects subject to classical physical space/distance?

I think we have been through that before.

Superposition is not subject to such. In principle the position a particle that is in a superposition of position can be observed anywhere the wave-function says it has a probability of being - and there is no restriction on that.

Thanks
Bill
 
  • #5
But is the wave function infinite? Because people talk about bigger and smaller wave functions.
 
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  • #6
Batmanandjoker, see
https://www.physicsforums.com/blog.php?b=4330
 
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  • #7
batmanandjoker said:
But is the wave function infinite? Because people talk about bigger and smaller wave functions.

Of course it can't be infinite - nothing physically realizable can be.

It is however, for mathematical convenience, is sometimes approximated by a function of infinite extent.

I haven't heard anyone talk of bigger and smaller wave functions. But if they did I would assume a big wavefunction is one where the probability of finding a particle is very high in a small region - and small where it isn't.

Thanks
Bill
 
  • #8
Demystifier said:
Batmanandjoker, see
https://www.physicsforums.com/blog.php?b=4330

Just a note to the OP.

This concerns the PBR theorem, which is quite important, and deserves all the praise it has garnered.

But to forestall unnecessary confusion I believe its important to know from the outset one of its assumptions:
http://xxx.lanl.gov/pdf/1111.3328v3.pdf
'The argument depends on few assumptions. One is that a system has a real physical state not necessarily completely described by quantum theory, but objective and independent of the observer. This assumption only needs to hold for systems that are isolated, and not entangled with other systems. Nonetheless, this assumption, or some part of it, would be denied by instrumentalist approaches to quantum theory, wherein the quantum state is merely a calculation tool for making predictions concerning macroscopic measurement outcomes.'

Many bare bones interpretations such as the statistical and most versions of Copenhagehn do just that - have the state as 'merely a calculation tool for making predictions concerning macroscopic measurement outcomes'. This is also the interpretation people mean when they talk about the formalism by itself with little or no interpretive assumptions.

When I talk about QM, unless I say otherwise, its what I mean, so really PBR doesn't apply to my comments.

Thanks
Bill
 
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Related to Is the wave function/packet an actual property

1. Is the wave function/packet a physical entity or just a mathematical description?

The wave function/packet is not a physical entity in and of itself, but rather a mathematical description of the probability of finding a particle at a certain position in space and time. It is a fundamental concept in quantum mechanics and is used to describe the behavior of particles at the microscopic level.

2. Can the wave function/packet be observed or measured?

No, the wave function/packet cannot be directly observed or measured. It represents the probability of finding a particle in a certain state, but it is not a physical quantity that can be measured or detected.

3. Does the wave function/packet collapse when it is observed?

The collapse of the wave function/packet is a concept in quantum mechanics that describes the change in the wave function/packet when it is measured or observed. This collapse is a mathematical interpretation of the change in the probability of finding a particle at a certain location. However, there is ongoing debate and research about the exact nature of the collapse and its implications.

4. How does the wave function/packet change over time?

The wave function/packet is governed by the Schrödinger equation, which describes how the wave function/packet evolves over time. This equation takes into account the potential energy of the system and any external forces acting on the particle. As time passes, the wave function/packet will change in accordance with this equation.

5. Can the wave function/packet be used to predict the exact position of a particle?

No, the wave function/packet can only provide a probability of finding a particle at a certain position. This is due to the inherent uncertainty in quantum mechanics, as described by Heisenberg's uncertainty principle. The wave function/packet can only predict the probability of finding a particle within a certain range of positions, not the exact position itself.

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