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  1. S

    A Paradox?

    Please do not mix the differential equation between operators and eigenvalues. They are completely different. Seratend.
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    What are the QM

    How do you differentiate 3) and 1)? By defining an ontological and non local object "consciousness" (or a god)? Aren't you defining, in fine, a bohmian like interpretation of QM with point 3 (i.e. we may view the bohmian path as the consciousness of the particle in fine :biggrin: )? Physics...
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    HUP; once more time

    Do you know diffraction? If yes how can you predict with certainty the position of a photon within a beam of light? Seratend.
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    Infinite square well potential

    Yes. Quantum well problem is simple as long as we do not care on the mathematical rigor. It may be viewed as a good introduction to the differences and similarities between L2 and l^2 spaces (and why we may see the l^2 space as the space of periodic functions). Yes because V(x)= cte inside...
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    Infinite square well potential

    Please if A and B are observables and [A,B]=0 they share the same eigenvectors. Now, the quantum well potential is an excellent exercise to understand what is the quantum momentum operator and why it does not commute with the Hamiltonian H=p^2/2m+V(x). the QM momentum p is the generator of...
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    Vector spaces

    At the beginning there were the natural numbers (surely to make money), thereafter someone introduced the addition (surely to win more money). From the addition one deduced the multiplication for efficiency (3+3+...3 takes more time to calculate than 100*3: the productivity). The linearity and...
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    Understanding the Set of Commuting Observables

    No. You have X|x>=x|x> in the eigenbasis |x>. Do not mix the eigenvalue x with the operator X. In QM we use functional relations on operators. From these functional relations, we may deduce some relations for a given basis or for a given vector. If you are a beginner with QM, I advise you to...
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    Heisenberg imcertainty principle (get it!)

    Yes, however I have to emphasize we are playing with words (a matter of interpretation): delta pz. delta z ~ hbar => having 2 plates with 2 slits with an infinite distance between plates (=> delta z --> +oO) allows one to have a delta pz as small as one wants (provided some technical...
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    Heisenberg imcertainty principle (get it!)

    I think the confusion comes from the interpretation of zapper and older Dan words (and sometimes in forgetting we live in a 3D/4D world). A measurement by the slit, defines a position measurement (x,y) in the “transversal” direction of the moving particle (direction z). From this measurement...
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    Question on observer created reality

    If anything Come on patrick :tongue2:. The blank paper view is as beautifull as the catholic paradise before the snake: it just illustrates the set of possibilities we have before and the difficulties we have after when we choose one of them o:) . Interesting. As long as we use the set...
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    Question on observer created reality

    So you think you need constraints to have inspiration (a kind of causality or masochism?)? :biggrin: Why do you seem to think an epistemic approach does not allow to build beautifull grand principles to describe reality? Look at the powerfull of the approach: it contains surely the...
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    Understanding the Set of Commuting Observables

    Yes, but this is not practical to make predictions. It is analogue to record all the particle positions in the universe up to its end. At the end, you will know all the functions x = (x(t), t in |R) and all the derivatives of x. Classical Mechanics proceeds in another way: instead of dealing...
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    Direction of a single particle wave

    You have to view, in this case, the wave as the probability density location of the particle. Hence a single particle may have a non nul probability density in a given area of the space but it may only be located on a given location. Seratend.
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    Physical meaning for wavefunction

    Surely one description of the reality with its onw domain of validity like any physical theory. :biggrin: The rest is pure speculation until prooved by tests. Serantend. PS. Before this post, I thought you were a proponent of the espistemic view of physics.
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    Question on observer created reality

    I make an effort. Reread and try to understand post #104 by yourself. If you make an effort to understand what is written, your question about the momentum should be answered. Seratend.
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    Question on observer created reality

    Before asking to the others, you should pay attention to what is written since the beginning (i.e. make an effort). If you do not want to accept/understand the mathematical results of more than 100 years of developpment in QM it will be difficult for you to make valid claims/interpretations...
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    Question on observer created reality

    For the slit plate of the double slit experiment, you may say you have the measurement given by this projector: P_slit= |slit1><slit1|+|slit2><slit2| and you still have the interference pattern that is given by the projector P_int=|interference><interference|. These 2 projectors do not require...
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    Question on observer created reality

    Currently, the only consistent bohmian interpretation I know may be reduced to "when you know result, e.g. a position at time t, you may infer the position at any time t<to if this position is not measured during the experiment. The rest is a play of words. Yes, you can say that when the...
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    Question on observer created reality

    I think I do not understand you at all. Double slit experiment is the plain old toy model used to explain why we cannot have the two properties: "electron passes through one slit" and "interference pattern on the screen". Therefore, I do not see how you can reduce the "path" of an electron to...
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    Question on observer created reality

    ?? What do you mean? If the potential is bounded, you still have your constant state. Seratend. EDIT: P.S. Damned too slow : ))
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    Question on observer created reality

    : ). We just need to take any translation generator. We have (with the good units) <x|exp(-ip.a)|psi> = psi(x+a) for all finite a and all states |psi> but not necessarily for infinite a (a group is closed under finite operations and not necessarily for infinite operations) where everything...
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    Question on observer created reality

    Only for finite times. : )) Seratend.
  23. S

    Question on observer created reality

    Attention, you are attaching a reality to the wave function (in the same way you may speak wrongly about the path of particle in a double slit experiment). Try to think with the heisenberg view where the wave function is a constant in time in order to avoid false deductions. Note that in the...
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    Question on observer created reality

    : ))). I think so (for the impression). I am a fan of what I call the minimalist interpretation: the consistent logical content of QM formalism, especially the collapse postulate (hence, I hope it should be included in any consistent interpretation). I am sure it is not far from the logical...
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    Question on observer created reality

    Basically nothing (wrong with the view). You have 2 different propositions that may be incompatible depending on the context where they are used. The second proposition is equivalent to the state of the (observer, particle A) is "entangled state". Where we may attach a real value to...
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    A question about Dirac's quantization

    Dirac quantization method is not completely rigorous (the deformation quantization is actually considered as the most accomplished one). For the ones who are interested on a good compilation of the different quantization methods, I recommend the excellent and impressive paper (which also...
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    Question on observer created reality

    I think you attach to the observer more properties than I do (hence it lacks a minimum of mathematical rigor). Ok. I think the main problem you have is that you do not seem to see that physics in general is a description of reality and not a creation of reality (whatever it could mean : ))...
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    Question on observer created reality

    This is the heart of the QM formalism and the interpretation problems it rises. QM postulates say that you can describe the "reality" properties through, e.g. the position or momentum filter => We obtain 2 incompatible descriptions and there is no approximation in these descriptions (we have...
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    Question on observer created reality

    Sorry, If you leave the light of mathematics and physics, I have nothing to say. I think this forum section and this thread are not the good ones to continue in this direction. Seratend.
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    Question on observer created reality

    Ok (sorry for the late answer). What is for you the logical content of an observer? For me, you are implicitly choosing an observer with 2 properties: a) an observer may interact with the experiment: with QM I describe it through an hamiltonian interaction (property: the hamiltonian) b) the...
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