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Quantum Mechanics

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  • Registered Users, Registered Users 2 Posts: 861 ✭✭✭Professor_Fink


    maninasia wrote: »
    Why am I incorrect when I stated that 'communication at faster than light speeds is possible with wormholes'?

    Did you miss my earlier post? As I said, I'm done with this.


  • Registered Users, Registered Users 2 Posts: 4,635 ✭✭✭maninasia


    Ok you said the path has changed, the speed of light has not. Fine, but communication at faster than the speed of light is possible by warping space. Therefore speed of light is not a final barrier. The maximum speed of light in a vacuum could be as important in the grand scheme of things as the maximum speed of a ship on the high seas.


  • Registered Users, Registered Users 2 Posts: 156 ✭✭MoogPoo


    whoops never looked at sticky. Thanks that making sense now


  • Registered Users, Registered Users 2 Posts: 9,852 ✭✭✭take everything


    Hi.
    This is probably a stupid question but can someone tell me:
    Does Quantum Mechanics violate causality in any way.
    I know the generally-accepted interpretation is that QM is indeterministic.
    But isn't indeterminism still causal?
    (As determinism is causal).

    I suppose what i'm wondering is:
    If you do a measurement in QM with the exact same settings, will the answer be exactly the same or does the randomness in QM mean the answer will always be different.
    And even if it was, is this reconcilable with causality.

    Sorry if this comes across as an elementary query.
    It's just bugging me a bit.
    Thanks.


  • Registered Users, Registered Users 2 Posts: 861 ✭✭✭Professor_Fink


    Hi.
    This is probably a stupid question but can someone tell me:
    Does Quantum Mechanics violate causality in any way?

    No. Quantum mechanics is a non-signalling theory, so causality remains intact. If you view the wave-function as a whole, then quantum mechanics is also deterministic. It is simply the act of making measurements that introduces indeterminism. Given a quantum system which some initial state and some Hamiltonian (which governs how the state evolves in time), you can calculate the exact state of the system after any fixed time. Further there is always a measurement you can make which confirms the system is in this state and succeeds with probability 1.


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  • Banned (with Prison Access) Posts: 3,455 ✭✭✭krd


    maninasia wrote: »
    Ok you said the path has changed, the speed of light has not. Fine, but communication at faster than the speed of light is possible by warping space.

    My understanding of a wormhole is gravity is used to shrink space. So, the light that travels through a wormhole is still travelling at c. And anything that passes through the wormhole will still have a velocity less than the speed of light.


  • Registered Users, Registered Users 2 Posts: 833 ✭✭✭southcentralts


    I have a quick question about quantum entanglement after reading that we managed to QE two diamonds. Because they are entangled, information can theoretically be passed between them faster than the speed of light ( or so my understanding of the subject goes), in which case if one of the diamonds was launched and sent into deep space traveling at 90% the speed of light with a receiver linked to it for, say microwave signals ( I do not know if this would be used but speed of light is the important factor for my question) sent from earth. Would the diamond back on earth begin receiving messages from the future and over time, the messages would go further and further into the future, would they not?

    and if possible in the answer, a yes or a no before you dive into the scientific equations and faults with my theory.

    p.s. The euromillions results would be a result, but I am thinking if this did work it could be used as early warning system for natural disasters, earthquake or tsunami as only a small message would need to return - location and time of event.


  • Registered Users, Registered Users 2 Posts: 4,635 ✭✭✭maninasia


    It's a good question. If the one of the pair could be activated (read) only by a specific wavelength (for instance a signature of a supernova) and then the entangled partner back on earth have an instantaneous change. This could provide an early warning system of supernova radiation advancing towards Earth at the speed of light.

    The transmission of information would in this case be in the sensing of the change of the entanglement rather than encoding any specific signal.

    However I think one sticking point is you need to actively read (I don't think there is a mechanism for a passive output) the entangled partner back on Earth. I've not been able to get a clear answer to this yet before Professors and their ilk start diving down the black tunnel of quantum mechanics.

    An answer from another forum
    'Because there is no apparent correlation until measurements are compared, the states will be observed in whatever reference frames they're observed in, and no one will agree on who observed first. But they will agree, when they compare measurements, that there was entanglement.'

    So you would have to read the partner on Earth to determine it's state, but you do not know if the entangled partner in space has been read first or not. There is no signal like 'green' or 'red' that can be programmed into the entangled state, it will just give a random assortment of 'greens' and 'reds' when you read them. It's only when you communicate using slower than light speed that you can get information as to when the other observer made their observation and therefore who was actually first to observe. That's my understanding of it, could be wrong though.


  • Registered Users, Registered Users 2 Posts: 4,635 ✭✭✭maninasia


    That isn't quite right. The division between the quantum and classical worlds is simply down to interaction with the environment. In this sense, if you could reverse the process then you would recover quantum effects. However, when photons carry away information, you can never catch up with them in order to actually reverse the process, so after a very brief period, the necessary information is propogating away from your lab faster than you can travel to catch it.

    This is interesting. If we could prevent the photons travelling very far in space we can catch those photons before they escape.
    We could also use some type of warping of space to catch the photons and bring the information back again. In theory.


  • Registered Users, Registered Users 2 Posts: 833 ✭✭✭southcentralts


    Thanks for your reply maninaisa.

    I guess I was a bit confused by the concept of quantum entanglement as I thought once 2 diamonds were entangled, one could be manipulated and it would affect both and figured this could be used to transmit information in binary - inactive state and manipulated. So I guess I misunderstood the "manipulated" piece.

    Fount the article
    Walmsley and his colleagues set up an experiment that would attempt to entangle two different diamonds using phonons. They used two squares of synthetically produced diamond, each three millimeters across. A laser pulse, bisected by a beam splitter, passes through the diamonds; any photons that scatter off of the diamond to generate a phonon are funneled into a photon detector. One such photon reaching the detector signals the presence of a phonon in the diamonds.

    But because of the experimental design, there is no way of knowing which diamond is vibrating. "We know that somewhere in that apparatus, there is one phonon," Walmsley says. "But we cannot tell, even in principle, whether that came from the left-hand diamond or the right-hand diamond." In quantum-mechanical terms, in fact, the phonon is not confined to either diamond. Instead the two diamonds enter an entangled state in which they share one phonon between them.

    To verify the presence of entanglement, the researchers carried out a test to check that the diamonds were not acting independently. In the absence of entanglement, after all, half the laser pulses could set the left-hand diamond vibrating and the other half could act on the right-hand diamond, with no quantum correlation between the two objects. If that were the case, then the phonon would be fully confined to one diamond.

    If, on the other hand, the phonon were indeed shared by the two entangled diamonds, then any detectable effect of the phonon could bear the imprint of both objects. So the researchers fired a second optical pulse into the diamonds, with the intent of de-exciting the vibration and producing a signal photon that indicates that the phonon has been removed from the system. The phonon's vibrational energy gives the optical pulse a boost, producing a photon with higher energy, or shorter wavelength, than the incoming photons and eliminating the phonon in the process.

    The reread helped, I had assumed after entanglement that vibrations in one diamond would translate to the other one offering a way to communicate but they are entangled because they are both vibrating when only one should be.


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  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    Hi, I've started to watch some lectures on quantum mechanics & they're going well except for the fact that some of it makes no sense. Basically I just don't see how |ψ|²dτ represents the probability of finding a particle described by ψ in the volume element dτ. Most likely it's due to me having missed something in the development of the material thus far or maybe it's because the answer to this question hasn't been fully given yet - or maybe I'm just missing some elementary logic. I think it's best to briefly state exactly what's been done in the course:

    History
    Defined Schrodinger Equation
    Mentioned, without justification, the Born Interpretation:
    - The element |ψ|²dτ represents the probability of finding the particle described by ψ in the volume element dτ
    Derives the 1-Dimensional Schrodinger equation & momentum operators
    Evaluates some Gaussian integrals
    Gives four representations of the dirac delta function
    - via a Rectangle function
    - via the Heaviside step function
    - via a Gaussian function
    - via the sinc function (using this to give an integral representation)
    Goes through Fourier's integral theorem
    Derives Parseval's identity (Also known as the normalization condition)
    Inserts the Debroglie relation into the integral representation of the Dirac delta function & uses Parseval's identity to derive a relationship between position & momentum
    Derives a solution to the 1-D Schrodinger equation for a free particle
    Shows how the equation of continuity can be derived from the Schrodinger equation
    Mentioned the commutator [a,b] = ab - ba
    Just started to derive material related to expected values
    (If any of this is too short I'll expand on it)

    So I can see how normalizing the integral ∫|ψ|²dτ due to the linearity of the Schrodinger equation is a way to get ∫|ψ|²dτ = 1 & that this obviously relates things to probability but I mean to make such a definitive claim about what |ψ|²dτ stands for seems a bit much.


  • Registered Users, Registered Users 2 Posts: 100 ✭✭IRWolfie-


    Because they are entangled, information can theoretically be passed between them faster than the speed of light ( or so my understanding of the subject goes),

    No, entanglement can not be used to transmit information in any way.


  • Banned (with Prison Access) Posts: 3,455 ✭✭✭krd


    So I can see how normalizing the integral ∫|ψ|²dτ due to the linearity of the Schrodinger equation is a way to get ∫|ψ|²dτ = 1 & that this obviously relates things to probability but I mean to make such a definitive claim about what |ψ|²dτ stands for seems a bit much.

    images?q=tbn:ANd9GcTbd9AHZ9DuMZr5s3yLo4MsyLPx1M0B_BURSrAFmKrgoDyxdG6A


  • Registered Users, Registered Users 2 Posts: 4,080 ✭✭✭EoghanIRL


    I'm reading a few books on quantum mechanics at the moment . How can quantum entanglement occur after particles exsist?


  • Closed Accounts Posts: 519 ✭✭✭thecatspjs


    Hi there, I have an assignment due but I'm having trouble getting started. Maybe someone can help?!

    A quantum wire in an infinite potential well has a length of 12 Angstroms. The well contains a superposition of the 3 lowest energy states. The mixing ratios are 4:12:87.

    Determine the normalized amplitude coefficients for each of the 3 states.


    I don't want the answer, just some help. The mixing ratios thing is throwing me off. I don't know/see how these come into it or what they are.


  • Registered Users, Registered Users 2 Posts: 15 morison4642


    could make up some of these things your self


  • Registered Users, Registered Users 2 Posts: 566 ✭✭✭adrian92


    Just a thought , if anyone thinks worthy of a response.


    Is there any merit, do you think, in pursuing the possibility of electrical power generation via the interaction of the earth's magnetic field together with the moving conductor (viz sea water) , on principle?

    (I have not done, nor do I have the ability to, any analysis on the energy yield)


  • Registered Users, Registered Users 2 Posts: 1,881 ✭✭✭SlowBlowin


    I don't think the fish would be happy ?

    SB


  • Registered Users, Registered Users 2 Posts: 3,457 ✭✭✭Morbert


    I have unstuck this thread for now, as I'm not sure how useful it is as a reference.

    But I am open to suggestions.


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