Questions tagged [harmonic-oscillator]
The term "harmonic oscillator" is used to describe any system with a "linear" restoring force that tends to return the system to an equilibrium state. There is both a classical harmonic oscillator and a quantum harmonic oscillator. Both are used to as toy problems that describe many physical systems.
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How does the moment of inertia work in this physics question? (Vibrations and Waves by George C. King) [closed]
Not sure if this is just me having a moment where I'm missing something totally obvious, but I'm going over some old undergraduate physics work to reinforce my knowledge, and I've encountered a step ...
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Maximum extension in the spring and the time taken by the block after the spring is cut [closed]
(What will be the answer of the second part of this question. I think SHM concepts are also getting used in it.
Remember that the spring is fully cut down from the ceiling and there is no change in ...
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How to identify the amplitude in a spring block system hanging from the ceiling? [closed]
Let's say the mass is suspended from a spring on the ceiling. The spring is elongated by x for the mass to reach equilibrium. Now I pull the mass downwards by y and leave it. So which becomes the ...
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What happens to the amplitude when a spring is compressed?
Say there's a spring lying on a horizontal table, with one end attached to a wall (say the left end) and it is in it's natural length. Now I compress the spring from the right end, and leave it. So ...
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Why Is There No Oscillator Representation for Operators in Planar ${\cal N}=4$ SYM Theory?
I'm studying the planar ${\cal N}=4$ Super Yang-Mills (SYM) theory and I'm curious about the representations of its operators, specifically the Hamiltonian and the dilatation operator. In many quantum ...
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Action-angle variables for three-dimensional harmonic oscillator using cylindrical coordinates
I am solving problem 19 of ch 10 of Goldstein mechanics. The problem is:
A three-dimensional harmonic oscillator has the force constant k1 in the x- and y- directions and k3 in the z-direction. Using ...
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When is minimum potential energy in simple harmonic motion not zero?
We know that in simple harmonic motion, potential energy is minimum at the mean position and it is zero since displacement is zero. So what are some cases in which minimum potential energy is not zero?...
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Article on 1D deformed quantum harmonic oscillator
Few years ago I was reading an article which I'm trying to find for quite some time but with no success so far. It was a paper about deformation of 1D quantum harmonic oscillator with continuous ...
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How is the quantum harmonic oscillator related to Fock states?
The question is basically in the title.
From what I understand, in the Fock state there is a certain number of particles in each energy level. The creation/annihilation operators create or destroy a ...
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If friction is not proportional to velocity, why do we model it as such when considering damped oscillations? [duplicate]
Early in our study of mechanics, we learn that friction is usually proportional only to normal force, without dependence on velocity. However, during our studies of damped oscillations, we often model ...
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Why am I getting this derivation of time period of pendulum in an accelerated frame wrong? [closed]
We are working in the frame of the cart and we are trying to obtain the $\tau=k\theta$ form.
So, let's write the $\tau=I_{axis}\alpha$ first for a small deviation $\theta$ from the vartical.
(The ...
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Potentials increasing faster than harmonic oscillator
I'm reading a book which says: (HO stands for harmonic oscillator):
The spectrum of the HO has equidistant energy eigenvalues. A potential that increases quicker than the HO has states which become ...
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Spherical quantum oscillator: Is energy smaller than the potential?
A particle with mass $m$ is inside the spherical quantum well $V(r)$:
\begin{equation}
V(r)=
\begin{cases}
-V_0, & \text{if}\ r<a \\
0, & \text{otherwise}
\end{cases} \...
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Understanding the dynamics of a perturbed quantum harmonic oscillator system
I'm trying to understand how quantum systems behave when they are perturbed, and I'm using the quantum harmonic oscillator as a model.
I start by implementing a symmetric gaussian shaped bump in the ...
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Investigation Results of Damping of A Spring Showing Changing Phase Angle? Why?
In an experiment I've recorded the displacement of the spring over time, investigating underdamped simple harmonic motion.
Using pre-existing formulae the data should conform to a curve of the form
$$...
