All Questions
Tagged with harmonic-oscillator energy
94
questions
-1
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2
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76
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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?...
- 91
1
vote
1
answer
60
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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 ...
- 369
-1
votes
2
answers
80
views
How can maximum kinetic energy not equal to total energy in SHM$?$ [closed]
A linear harmonic oscillator of force constant $2×10^6$$ \,\text{N}\,\text{m}^{-1}$ and amplitude $0.01 \,\text{m}$ has a total mechanical energy of $160 \,\text{J}$. Find ratio of maximum potential ...
9
votes
1
answer
464
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Physical meaning of Zero-Point Energy
I know that a quantum system can never have 0 energy due the Uncertainty Principle, and its lowest energy is called the Zero point Energy. However, Energy is a relative quantity (atleast in classical ...
- 93
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2
answers
59
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Shape of graph of energy in S.H.M
I'm confused to whether the graph of KE/PE of a simple harmonic motion system is sinusoidal or not
those are my best sketches but if unclear, the blue one is in a shape of a sine wave.
this question ...
- 117
2
votes
0
answers
34
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The interpretation of the Bose occupation factor
I was reading into the Oxford solid state basics, by Steven H.Simon and I stumbled upon a confusing interpretation of the Bose Occupation factor: $$n_B (x) = \frac{1}{e^x-1}$$ with: $$x = \beta \hbar \...
- 41
0
votes
2
answers
133
views
Quantum harmonic oscillator as the potential becomes zero
I'm having a question concerning the quantum harmonic oscillator: If, for instance, $\omega\to 0$ the Hamiltonian
$$
\hat{H} = \frac{\hat{p}^2}{2m} + \frac{1}{2}m\omega^2 x^2\tag{1}
$$
becomes that of ...
- 19
1
vote
1
answer
295
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Why energy eigenvalues of a one dimensional quantum charged harmonic oscillator in an external electric field decreases? [duplicate]
Consider a charged particle in the one-dimensional harmonic oscillator potential. Suppose an electric field of magnitude $E$ is applied along positive $x$ axis, so that the potential energy is shifted ...
- 333
1
vote
3
answers
105
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What is the form of an electrical oscillator Hamiltonian?
I found this https://en.wikipedia.org/wiki/Harmonic_oscillator in my search results when I search for "electrical oscillator Hamiltonian" and some other things too. But none of them answer ...
- 1,896
2
votes
1
answer
202
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SHM kinetic energy graph why starts from zero when at rest? [closed]
I have following question:
A particle is displaced from rest and released at time t = 0. It
performs simple harmonic motion (SHM). Which graph shows the variation
with time of the kinetic energy Ek ...
- 165
0
votes
3
answers
655
views
Does changing the mass affect velocity if the amplitude stays the same?
There's a block of mass $M$ connected to a spring of negligible mass. This is set up horizontally, and there is no friction between the block and the surface. The block oscillates with simple harmonic ...
- 117
1
vote
0
answers
44
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What happens to the half of the total energy that is lost? [duplicate]
Set up:
There's a block of mass $M$ connected to a spring of negligible mass. This is set up horizontally, and there is no friction between the block and the surface. The block oscillates with simple ...
- 117
1
vote
1
answer
301
views
Free energy of a one-dimensional harmonic oscillator
The potential energy of a one-dimensional harmonic potential can be expressed as $U(x)=\frac{1}{2}K(x-x_0)^2$, where $K$ is the force constant and $x_0$ is the equilibrium position. I'm wondering how ...
- 41
2
votes
2
answers
106
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Oscillations of a cylinder inside a cylinder [closed]
Please read the whole thing I'm asking for a concept not the problem itself, but I have to show the problem to explain myself
Find the period of the small oscillations of a cylinder of radius r that ...
user348222
16
votes
3
answers
3k
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How does the string of an acoustic guitar transfer energy to the guitar's body?
I've learned through the answer to this post that the purpose of the soundboard of an acoustic guitar is to match the impedance of air, facilitating the energy transfer from the strings to the sound ...
