Superposition Definition and 685 Threads

  1. I

    Discovering the Infinite: Exploring Superposition in a World of Imagination

    I'm doing a writing "experiment" with a character that is aware of his existence as a drawing in a world created from my imagination. He is asking me why he is the only one that exists in his world. My answer is that he isn't the only one, but rather the only one who has appeared (it is in...
  2. K

    Superposition of two electrons

    I have a simple question. In quantum mechanics the superposition principle is given: psi=c1*psi1+c2*psi2+... Now, is it possible that psi1 is an electron A and psi2 is an electron B? I mean can we bring several electrons in superposition? Couldn't this violate the probability...
  3. T

    How Does Superposition Impact Momentum and Electron Clouds in Quantum Mechanics?

    I'll try not to make this to confusing, but I'm having difficulty understanding a couple of different things. The first is how you can have a superposition of momentum. Does it have to do with waves just as it does with the superposition of the position of an electron, hense the electron...
  4. F

    Solving Superposition Problem: Find a3 and Bint

    The superposition of two harmonic waves: u1 = B * sin( a1(r) ) u2 = B * sin( a2(r) ) results in a sinusoidal wave of the form: uint = Bint * sin( a3(r) ) Find a3 and Bint I'm not sure what to do. I can't think of any way to get it into that "form"...
  5. F

    Solving the Superposition Problem: Find a3 & Bint

    The superposition of two harmonic waves: u1 = B * sin( a1(r) ) u2 = B * sin( a2(r) ) results in a sinusoidal wave of the form: uint = Bint * sin( a3(r) ) Find a3 and Bint I'm not sure what to do. I can't think of any way to get it into that "form"...
  6. P

    Can Two Interfering Waves' Intensities Simply Be Added for Maximum Intensity?

    hi.. Juz want to know if 2 waves were to interfere each other, in order to find the max intensity, is it possible to juz add the 2 wave intensity to find the max? if given that wave 1 intensity is
  7. L

    What causes a particle to go into superposition?

    What causes a particle to go into superposition? Is it correct to say that it goes into superposition when it is unobserved?
  8. F

    How Does Destructive Interference Occur at Point Q in a Double-Slit Experiment?

    Hello! I'm new here, and this is my first post. I hope I have not breached any rules, but here's a rather strange (in my limited intelligence) question I encountered. I shall try to explain the question because I am unable to reproduce the diagram. Two identical narrow slits S1 and S2 are...
  9. T

    Superposition of magnetic fields

    Hi a short question: can I use the superposition principle for magnetic fields? reegards tem
  10. D

    Waves: Standing Waves, Superposition, etc.

    1.) S and P waves, simultaneously radiated from the hypocenter of an earthquake, are received at a seismographic station 17.3 s apart. Assume the waves have traveled over the same path at speeds of 4.50 km/s and 7.80 km/s. Find the distance from the seismograph to the hypocenter of the quake...
  11. G

    Knowledge of the superposition of states

    Is it completely impossible, even in principle, that eventually there can be a device by which we could know about the superposition of states without collapsing it? For example, being able to know that an atom is in a 30% probability of being unexcited and a 70% probability of being excited...
  12. M

    Proving the superposition of initial conditions gives superposition of motion

    I have a problem that says to prove the superposition of initial conditions gives superposition of corresponding motion for two coupled oscillators. My question is: What do they mean by coupled oscillators? Do they mean coupled pendulums? Double LC circuits? If it's coupled pendulums are...
  13. H

    Analyzing Superposition of Waves with Different Phases

    How do I find the sum of these 2 waves, Asin(kx-wt) and Asin(kx+wt)? I have no clue how to add 2 sins with diffent phases. Thank you for your help!
  14. R

    Exploring Quantum Superposition: Nucleon Cluster and Antimatter Deuterons

    I need some help with a problem that involves the concept of quantum superposition. Suppose you have a nucleon cluster of matter helium-3 [PNP] and you attempt to combine with antimatter deuterons [N^P^], where ^ represents antimatter. Would it be possible that the two could form wavefunctions...
  15. N

    Linear superposition of single-particle states

    Dear all, I am not sure whether I understand correctly or not. So from Peskin Schroeder’s book: \phi(x)|0>= \int{\frac{d^3 p}{(2\pi)^3}\frac{1}{2E_p}e^{-ipx}|p> formula (2.41). Interpreting this formula they say – it’s a linear superposition of single-particle states that have well...
  16. S

    Superposition of Time Evolutions

    Superposition of Time Evolutions My Pathetic Explanation: A photon can be in a superposition of states by going through a beam-splitter (thus you have interference). Yakir Aharonov says you can make an object experience a superposition of time (actually Time Evolutions, or how it ages). He...
  17. R

    Wave Superposition: Exploring Types, Wavelength & Speed

    Wave Superposition! This may be asking a bit much, but I'm really desperate and don't have a clue. It's on an exam I have very soon so I need to find out! Anyone who can answer i love you lots. Here is the (big) question: 13) in this question, you are to choose, and write about, one...
  18. quasar987

    Group velocity for a discrete superposition of waves

    For a superposition of two since waves of equal amplitude in a dispersive media, we find that the group velocity is given exactly by v_g = \frac{\omega_2-\omega_1}{k_2-k_1} and approximately by d\omega / dk|_{k=k_0}. How do we show that this approximation holds for any type of waves...
  19. I

    Proof of Superposition Principle

    Hey, I was recently reading "If an electron can be in 2 places at once, why can't you?" in the new Discover magazine when I came across the superposition principle ( I have heard of it before, just never really looked into it). They said that evidence of the phenomena could be found in the...
  20. S

    Superposition of Eigenfunctions: Probability and Expectation Values

    I know this question isn't supposed to be hard but I can't figure it out for the life of me. If a certain wavefunction is made by superposition of three eigenfunctions of the momentum operator (F1, F2, and F3): wavefunction=0.465F1+0.357F2+0.810F3. The eigenvalues of those eigenfunctions...
  21. siddharth

    Superposition principle to find the force due to a system of charges

    To find the force due to a system of charges, we can find the force on a charge due to the other charges and add the vectors. In this context, my school textbook says, "Superposition principle should not be regarded as obvious, or equated with the law of addition of vectors. It says two...
  22. P

    How Do You Calculate Wave Superposition for Different Frequencies and Phases?

    Hi, I'm having some difficulty getting the correct answer for a problem relating to wave superpositiong. Question: Two waves in one string are described by the wave functions y1 = 3.15 cos (3.65x - 1.40t) and y2 = 4.10 sin (5.05x - 2.20t) where y and x are in centimeters and t is in...
  23. A

    How Does Speaker Placement Affect Sound Wave Interference?

    Ok...so I don't know how to do this problem... Two speakers are driven by the same oscillator whose frequency is 200Hz. They are located on a vertical pole a distance of 4.00 m from each other. A man walks straight toward the lower speaker in a direction perpendicular to the pole. a) How...
  24. E

    Superposition Principle Question

    So if we have a particle in a one dimensional box with walls at x=0 and x=a. Now suppose one of the walls is moved in a time short compared to the natural period 2pi/w1, where (h/2pi)w1=E. If the energy of the particle is measured soon after this expansion, what value of energy is most likely to...
  25. Loren Booda

    Statistical superposition of universes

    Imagine a number of finite universes superimposing to realize our apparent physical situation. For us, their many accessible states are expressed by the behavior of corresponding probability waves. Coexisting universes, including even those representing different physics (yet retaining a...
  26. P

    Superposition of 2 waves problem

    I am having trouble with this question. Any help would be appreciated. Q. Determine the amplitude and phase of the resultant motion when two sinusoidal motions having the same frequency and traveling in the same direction are combined, if their amplitudes are 3.0cm and 4.0cm, and they...
  27. T

    Superposition principle and linearity

    hello folks! this is my first post on the forums and I kick off with an interesting question... I had been coming across the principle of superposition for quite some time and to admit frankly didn't ever understood it. The most abstruse aspect is to comprehend how can to different...
  28. B

    Can the Brain Differentiate Individual Sound Waves in Superposition?

    how are we able to clearly distinguish two different sound waves - like when someone is talking to us while music is playing in the background... I've read it is due to the superposition principle which states that the waves combine and form a resultant wave that is the sum of the individual...
  29. M

    Solve Two Identical Waves Superposition Problem

    hi, i was able to get all of my homework problems except this one, i just ccan not seem to figure it out. Two identical sinusoidal waves with wavelengths of 6.00 m travel in the same direction at a speed of 2.00 m/s. The second wave originates from the same point as the first, but at a later...
  30. T

    How Do Phase Differences and Velocity Relate in Wave Propagation?

    A transverse wave of frequency 40 Hz propagates down a string. Two points 5 cm apart are out of phase by p/6. (a) What is the wavelength of the wave? (b) At a given point, what is the phase difference between two displacements for times 5 ms apart? (c) What is the wave velocity? for a.)...
  31. E

    Is the Newman Superposition Model Related to Crystal Field Theory?

    actually I did not understand exactly this model? is it indeed crystal field theory or not? how it correlates the spin hamiltonian parameters and the structural data of the crystal?
  32. G

    Molecules were held in a state of quantum superposition

    I have read about experiments where entire atoms and even whole molecules were held in a state of quantum superposition. It wasn't until an observation was made that these molecules left their indeterminate state. If whole atoms and molecules can exist in quantum superposition, does theory...
  33. W

    Where Does the Energy Go During Deconstructive Interference?

    right, um, deconstructive inteference; where does the energy go? [?]
  34. C

    EM superposition [complete image synthesis?]

    Readers, please bare with me as I attempt to explain the reasoning of my question. Any help will be greatly appreciated. Suppose I turn on my radio. And suppose one of my favorite songs happens to be playing, and that song happens to include the tried and true guitar, bass and drum trio. My...
  35. K

    Proving Babinet's Principle w/ Superposition & Diffraction - Help Needed

    Yo, d00dz I'm kind of stumped on this problem on my homework: "A monochromatic beam of parallel light is incident on a hole of diameter a >> wavelength. Point P lies in the geometrical shadow region on a distant screen. Two obstacles are placed in turn over the hole. A is an opaque circle...
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