Superposition Definition and 685 Threads

Homework Statement Homework Equations phasor forms voltage division current division The Attempt at a Solution Using superposition, considering only the varying voltage source. Z (L) = 4j Z (C) = 5j Total impedance: 4 is parallel with 5 = 2.44 + 1.95j series with 1 + 4j Total...

What caused particles to be in quantum superposition? Is it because they are very small or very light? If an object is very small or light, why will it quntum superpose? Besides, when a particle undergoes quantum superposition, does all its states exist in the same world or each exist in...

Hi. I have been reading about the superposition of simple harmonic vibrations of different frequencies and what entails to make the their combination periodic. This is quoted from the book Vibrations and Waves by A.P. French: "The condition for any true periodicity in the combined motion is that...

Greetings all, This question can cover many sub-forums here, but I'll put it in General Math since I believe it deals with superposition. Now, I am studying a layered-earth model for programming purposes, and what I mean by that is, for example, we say air is one layer, grass is another...

Hello, I'm wondering, is it possible to define an operator on a Hilbert space that gives information about the "distinctness" of superposition components? As a simple example, imagine that we have two particles. Let |3> designate the state in which they are 3 meters apart, let |5> designate...

Firstly, I apologise for any lack of understanding, incorrect assumptions or misinterpretations of the very little I know about physics, quantum mechanics & quantum computing. I am not an academic, scientist or mathematician, but a software engineer with an interest in quantum computing and...

Hello, I'm wondering, is it possible to define an operator that gives information about the "distinctness" of superposition components? As a simple example, imagine that we have two particles. Let |3> designate the state in which they are 3 meters apart, let |5> designate the state in which...

i am a beginner and was going through (Donald Mcquarie's "quantum chemistry" ) some discussion regarding orbitals of H-atom but i didn't get the logic behind writing px and py orbitals as linear combinations of spherical harmonics? according to what i understood, a given spherical harmonic in...

Hi PFs whith atoms in the ground level |g> we can prepare them in the first excited energy level |e> by giving them the transition energy with a laser. if one photon is absorbed it will be in |e>. I read that to prepare a |e> + |g> state i can use a ##\pi/2## pulse with this same laser. What is...

What is the difference in the preparation of superposition for the 2 cases where: 1. The system is in either one state.. for example.. one electron in spin up or spin down. Do these interfere? 2. The system is in superposition of two states (for example 2 entangled electrons that is spin up and...

In the superposition of charges, both directions is said to occur at the same time.. question: is this simultaneous occurrences observable (viewable) at the same time? I presume the left an right direction are eigenstates, but it is commonly said you can only observe one eigenstates at a time...

Homework Statement Superposition of two cosine waves with different periods and different amplitudes. Homework Equations This is basically: acos(y*t) + bcos(x*t) The Attempt at a Solution I looked at different trig functions but it seems it is not a standard solution. I've found solutions...

Homework Statement Use superposition to solve for vx in the circuit of attached document titled "Problem". Homework Equations Vx=V1+V2, where V1 is the voltage obtained using superposition by removing 6A source and V2 is the voltage obtained using superposition by removing 4A source. The...

Homework Statement Homework Equations KVL: ΣV = 0 KCL: ΣI = 0 v = iR The Attempt at a Solution I started by removing the independent current source to leave an open circuit. Then I attempted nodal analysis at nodes v1, v2, and v3: KCL @ v1: (v1 - v2)/10 = v1/40 KCL @ v2: (v2 - v1)/10 -...

Homework Statement Homework Equations Ohm's Law: v = iR KVL: ∑ V = 0 KCL: ∑ I = 0 Linearity: kiR = kvThe Attempt at a Solution Okay, so to apply superposition, I'm supposed to turn off all independent sources except one. I began by turning off the voltage source, and I then I used KCL to...

Homework Statement A solid, conducting sphere of radius "a" and charge -Q is concentric with a spherical conducting shell of inner radius "b" and outer radius "c". The net charge on the shell is +3Q. Take the zero of electric potential to be at some point at infinity. a.) Use Gauss's law to...

I would like to have a better grasp of the relation between quantum interference and state superposition that are linked in QM. For instance in the photon double-slit experiment the interference pattern is seen as a consequence of the superposition of the wave function(pure state), and when...

I have a question about, perhaps, GCSE level physics, if not below, which, for some reason, is not explained anywhere I've looked up. Or, at least, I didn't find any explanation. The picture above is supposed to explain the concept of superposition. It depicts a pair of one-dimensional waves...

Homework Statement In the figure below, three 2.00 kg spheres are located at distances d1 = 0.300 m and d2 = 0.400 m. What are the magnitude and direction of the net gravitational force on sphere B due to spheres A and C? Homework Equations F = GMm/r^2 The Attempt at a Solution...

Homework Statement For the portal frame geometry and factored loading shown in the figure below, calculate the shear force, axial load and bending moment diagrams using the Portal Frame Method. You may use the principle of superposition for gravity and lateral load effects. Note: • all...

<<Mentor note: This post and its answers were moved from this thread.>> How do you reconcile a superposition of flavors, with different masses, with conservation of energy and of momentum? Say the rest masses of three flavors are known, and you want to measure the velocity of the neutrinos...

From 38:27 to 39:20 Professor Susskind talks about how it's not so obvious that the superposition of forces works. Why is it not obvious though? Isn't it an inevitable mathematical consequence of vector addition? Have I misunderstood the superposition principle? Professor Walter Lewin from MIT...

Homework Statement FIGURE 1 shows a 50 Ω load being fed from two voltage sources via their associated reactances. Determine the current i flowing in the load by: Superposition Theorem Homework Equations [/B]The Attempt at a Solution :[/B] see attached files as I can not write in itex and...

I am curious as to how finite element analysis software(like Hypermesh) go about superposition of loadcases(applied on the same model). I constrain my vehicle body for 1.loadcase (say bending) with the standard SPC's and constrain my 2.loadcase(say torsion) with Inertia relief constraints...

If the double-slit experiment is done using an electron, and wave function collapse occurs, is the electron originally in a superposition all along before the experiment starts? I need clarification.

Is it possible to have a unitary evolution from ##|\psi_1\rangle\to a |\psi_1\rangle+b |\psi_2\rangle##, where ##|\psi_1\rangle##, ##|\psi_2\rangle## are two orthogonal states of a system? What if the state of the system is time dependent state of the form ##|\psi (t)\rangle = c_1(t)...

In basic chemistry, we "fill up" the energy levels of an atom by putting two electrons in each energy level. The justification for this (that I've seen) is that the Pauli exclusion principle only allows one electron per state and there are two states in each energy level (spin up and spin down)...

Suppose I have a two level system with the states labeled ##|0\rangle## and ##|1\rangle##. In this basis, these correspond to density matrices: ## \rho_0 = \begin{pmatrix} 1 & 0 \\ 0 & 0 \end{pmatrix} \quad \rho_1 = \begin{pmatrix} 0 & 0 \\ 0 & 1 \end{pmatrix} ## I can create a coherent...

Say we do physics in a very large box of side L. Using the proper superposition of a countable number of momentum eigen states can we write down the wave function of a localized high energy particle in a box? If so, assume the number of superposed momentum states is N. Now randomly throw away...

Hello guys, I made this analogy for double slit experiment. I would like to share this idea and I would like to hear your opinions and ideas. Thank you. I apologize for any typos or bad grammar, I am not native english speaker. Here it is: Analogy for wave collapse I am using term KNOWER...

Quantum Physicists claim that a sub-particle ( let's say an electron ) can be in superposition ( like having spin up and spin down at the same time ) before being measured. But how do they know that it is in superposition without measuring it ? What is the experimental set-up and the...

A remote control shot a single photon at a window that has a 50% chance of transmitting and 50% chance of reflecting photons. Once the photon wavepacket hits the glass (without an observer present), it propagates as a superposition of states, one in which it was transmitted and one in which it...

Homework Statement Verify that e^x and e^-x and any linear combination c_1e^x + c_2e^{-x} are all solutions of the differential equation: y'' - y = 0 Show that the hyperbolic sine and cosine functions, sinhx and coshx are also solutions Homework Equations Principle of Superposition for...

The superposition of sound waves puzzled me. Just like the figure below, when two loudspeakers propagate sound waves from two locations to any other locations. We always calculate final wave's amplitude or intensity via considering something just like phase difference or change of amplitude, but...

Hi everyone I am investigating spontaneously generated coherence(SGC), I found that it happens when an excited atomic state decays to one or more closed atomic levels so that atom goes to a coherent superposition of states , Effect of State Superpositions Created by Spontaneous Emission on...

Putting a Human in Superposition I recognize the practical aspects of this would be absurd, but I must admit the premise of what it would take to put a human in a superposition of states is an amusing thought exercise and has some relevance towards me understanding actually in what scenarios QM...

Homework Statement when a point is intefered by 2 waves of different phase , the resultant is y1 + y2 ... but why the resultant amplitude can't be = A1 + A2 ... but is sqrt root ((A1)^2 + (A2)^2) ?? this is actually a online note. Homework Equations The Attempt at a Solution

Homework Statement The time-independent wave function ##\psi (x)## can always be taken to be real (unlike ##\Psi (x,t)##, which is necessarily complex). This doesn't mean that every solution to the time-independent Schödinger equation is real; what it says is that if you've got one that is...

I've been trying to to solve this for hours now and I am frustrated. I think I have vx', which might be wrong, but I cannot find vx" for the life of me. I have posted all my work, I know what I have down so far is correct, but I am missing something to move forward. Homework Statement...

Hi Everyone I have four questions about the nature of quantum superposition and wave functions: 1. If a particle is quantumly superpositioned in more than one location then as soon as the slightest evidence of the particle's existence in one of the locations is detected by a "measurement"...

Homework Statement While analyzing superposition of waves from two coherent sources ,the displacement from the two sources are written as y1=A1cos(kx-ωt) and y2=A2cos(kx-ωt+∅) .The resultant displacement at any point is given by y=y1+y2 . I am having doubt that why does argument of sine in...

Homework Statement Hi all! It's a superposition question: Two waves travel through dispersive medium, with different frequencies and wave number. P1(t)=Acos(k1x-w1t) P2(t)=Acos(k2x-w2t) Obtain the P(t)=P1(t)+P2(t) Homework...

So I understand the Superposition principle doesn't apply to non-linear systems. I want students to understand (in high school physics...which I will be teaching in about a year) that the superposition principle essentially says things add. So I wanted to come up with some examples when this...

I am an accountant, not a physicist, but I find physics pretty interesting. One thing that I see reported on many a TV program about quantum physics is the idea of superposition and that it doesn't apply to the macro world in which we daily dwell. I don't see why it doesn't apply to the macro...

Homework Statement Screenshots have everything.Homework Equations ##V = iR## Voltage/current division Mesh analysis Adding resistors in parallel/series Kirchhoff's Laws The Attempt at a Solution First problem I started with turning off the current source. You are left with a simple series...

From what I understand chemical bonds arrive from the transitions of electrons between atoms and some atoms for a period of time don't have electrons. I don't understand, I thought electrons were tied to specific atoms. Any help would be greatly appreciated.

If in quantum physics some state is represented by ## \psi(x)=\sum_{k}C_k\psi_k(x)## ##C_m=\int \psi(x)\psi_m(x)dx## Why probability to measure ##\psi_m(x)## is ##|C_m|^2##?

Homework Statement Assume that Vs = 10V , R1 = 1.7Ω , and R2 = 0.50Ω. Find the current I in the figure using the superposition principle. Homework Equations Superposition principle KCL, KVL V=IR Current and voltage dividers The Attempt at a Solution I = I' + I'' First replacing the...

Homework Statement Assume that V = 4.8V and I = 3.2mA. Find Ix in the figure using the principle of superposition. Homework Equations V=IR Kirchhoff's Current Law Kirchhoff's Voltage Law Total response = ∑responses from each individual source The Attempt at a Solution I believe I'm...

This isn't a homework question, however I'm curious if displacement fields can simply be added to find the total displacement field at some point. My instinct tells me this should be true. For linear media, D=εE. Since electric fields can be superimposed upon each other, shouldn't the same be...