What Term must be used for this formalism?

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In summary, the conversation discusses the three main interpretations of quantum mechanics - Many Worlds, Bohmian, and Copenhagen - and their views on the wave function and localization of particles. It also touches on the concept of measurement and how it affects the behavior of particles. The idea of wave function being real is also brought up, with the suggestion to call it "esoterics". The conversation ends with a discussion on the existence of particles in multiple states before being observed.
  • #1
jlcd
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I noticed something especially in Physicsforums. It seems we have cornered quantum stuff to attain classical attributes.What I mean is this. You have the 3 main interpretations

Many Worlds
Bohmian
Copenhagen

In all 3 versions. there are either classical worlds branching or particle with trajectories or subjective Bayesian views. What happens to the idea about wave function of an electron being also present elsewhere.. or in the absence of measurement to determine a particle properties.. the particles has no definite particles? What I'm asking is.. what interpretation should it be called.. this idea wave function being real? There should be a name of it especially when you can't falsify it so it should be a valid interpretation too.
 
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I'd call it esoterics ;-)).
 
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Or let me ask about this question of localization. Quantum system like the electrons in atoms are delocalized.. upon measurement, it localizes. But the 3 main interpretations can't model this localization. In Many Worlds.. the electrons before measurement has a world of each own? or are they delocalized? In Bohmian.. it has trajectories as all time meaning before measurements.. the electrons in atoms have trajectories.. in Copenhagen.. the wave function is just tools or subjective (but then in Copenhagen what happens to the electrons in the atoms?)
 
  • #4
What do you mean by localization? You measure the position of, say an electron. That means the electron has interacted with some device like a photoplate leaving a track which let's you read off the position at an accuracy given by the apparatus's resolution. If you know the quantum-theoretical state, you can know only the probability for where the electron will be found, and nothing else. What happens to the electron after the measurement depends on the apparatus. In the case of a photoplate it gets absorbed.

For your electron in an atomic state you can use some scattering experiment, e.g., shooting with another electron or photons on the atom and measure the electromagnetic form factor of the atom, from which you can get an idea of the charge-density distribution of the electrons within the atom. Usually then you excite the atom or even kick out one or more electrons. You can calculate the various transition properties from the initial (usually the ground state) to another atomic state (including scattering states, where you are left with an ionized atom and one or more free electrons) from quantum scattering theory.
 
  • #5
vanhees71 said:
What do you mean by localization? You measure the position of, say an electron. That means the electron has interacted with some device like a photoplate leaving a track which let's you read off the position at an accuracy given by the apparatus's resolution. If you know the quantum-theoretical state, you can know only the probability for where the electron will be found, and nothing else. What happens to the electron after the measurement depends on the apparatus. In the case of a photoplate it gets absorbed.

For your electron in an atomic state you can use some scattering experiment, e.g., shooting with another electron or photons on the atom and measure the electromagnetic form factor of the atom, from which you can get an idea of the charge-density distribution of the electrons within the atom. Usually then you excite the atom or even kick out one or more electrons. You can calculate the various transition properties from the initial (usually the ground state) to another atomic state (including scattering states, where you are left with an ionized atom and one or more free electrons) from quantum scattering theory.

What I meant was.. before measurement.. the electron are not localized.. they don't have physical locations. They are just state vectors. Is this also the idea of Many worlds.. where before measurement.. the electrons are not really electrons but just wave function?
 
  • #6
Electrons "are" not the wave function, but the wave function describes the probability distribution of their location. A point particle in classical physics "is" also not a column of six position-momentum vectors.
 
  • #7
vanhees71 said:
Electrons "are" not the wave function, but the wave function describes the probability distribution of their location. A point particle in classical physics "is" also not a column of six position-momentum vectors.

But without being observed.. there are only wave functions... Bill just wrote in the other thread that "QM is silent on what's going on when not observed." Perhaps you believe it is not silent? Pls. elaborate on whether photons/particles exist in all possible states simultaneously before measurement or others you have in mind.
 

FAQ: What Term must be used for this formalism?

What is the meaning of formalism in science?

Formalism in science refers to the use of mathematical or abstract models to describe and understand natural phenomena. It focuses on the logical and deductive aspects of scientific theories, rather than their physical interpretations.

How is formalism different from other scientific approaches?

Unlike other scientific approaches, formalism places a strong emphasis on mathematical rigor and logic. It also often relies on the use of symbols and equations to represent complex ideas and theories.

What are the benefits of using formalism in science?

Using formalism in science allows for precise and unambiguous communication of scientific ideas and theories. It also allows for more rigorous testing and evaluation of these ideas, leading to a better understanding of natural phenomena.

What are some examples of formalism in science?

One example of formalism in science is the use of mathematical equations to describe the laws of motion in physics. Another example is the use of abstract models to understand the behavior of complex systems, such as weather patterns.

Are there any limitations to using formalism in science?

While formalism can be a powerful tool in understanding natural phenomena, it may also oversimplify or neglect certain aspects of reality. It is important for scientists to balance the use of formalism with other approaches to gain a more complete understanding of the world around us.

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