All Questions
8
questions
-1
votes
2
answers
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
votes
2
answers
59
views
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
1
vote
3
answers
892
views
Simple proof that average kinetic equals average potential energy in quantum harmonic oscillator
Is there a simple way to explain why the expectation of the kinetic energy equals the one of the potential energy in the quantum harmonic oscillator? I would like to find a simpler explanation than ...
- 1,100
0
votes
1
answer
383
views
Reasoning of no negative energy states in the quantum harmonic oscillator [duplicate]
In Griffiths' text on QM, I am trying to understand his logic as to why there can be no states of negative energy. He writes:
What if I apply the lowering operator repeatedly? Eventually I'm going to ...
- 753
1
vote
3
answers
395
views
Relativistic energy of harmonic oscillator
What is the relativistic energy of an harmonic oscillator:
$$\frac{m_0 c^2}{\sqrt{(1-\frac{v^2}{c^2})}}+\frac{1}{2}kx^2$$
Or
$$\frac{{m_0 c^2}+\frac{1}{2}kx^2 }{\sqrt{(1-\frac{v^2}{c^2})}}$$
I think ...
- 199
3
votes
2
answers
600
views
Energy in simple harmonic motion ─ where is the kinetic energy stored, and where is the potential energy?
When a mass connected to a spring is in simple harmonic motion and somewhere between the mean and extreme positions the mass is cut from spring. Then instantaneously after cutting the mass will only ...
- 31
0
votes
1
answer
1k
views
Potential Energy of Damped Oscillator
In the case of a simple harmonic oscillator we know that the total energy of the system is given as
$$E=\frac{1}{2}m\dot{x}^2+\frac{1}{2}kx^2$$
where the potential is
$$U=\frac{1}{2}kx^2$$
I read ...
- 127
5
votes
2
answers
6k
views
Bound states, scattering states and infinite potentials
I am doing my first semester of Quantum Mechanics and we're using Griffith's Introduction to Quantum Mechanics. As he is introducing the Dirac delta function potential he explains bound and scattering ...
- 125