All Questions
Tagged with wavefunction waves
132
questions
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Connection between dispersion relation and symmetries of the Hamiltonian
I am having trouble understanding intuitively the connection between the dispersion relation and the symmetries of the Hamiltonian. For example, suppose we have a lattice and there are four sub-...
- 324
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When solving a paraxial Helmholtz equation ... ? Amplitude vs Wave function
Given the paraxial Helmholtz-equation (PHHE). Why are the solutions formed by the amplitude function of a wave function, but not the wave function itself? Example, a form of a wave function is defined ...
- 35
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How to decide for correct value of phase difference?
A sinusoidal wave is propagating along a stretched string that lies along x-axis. The wave is moving in +x-direction. Figure shows the graph of transverse displacement of particles of the string at x =...
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Group velocity, phase velocity and signal velocity for axion like particles
In dark matter models of axion-like particles (ALPs), sometimes we get the field
$$\phi=2\phi_0\sin(m_\phi c^2 t/\hbar)\cos(k_\phi x)$$
This is like an stationary field with amplitude $\phi_0$ (in m/s ...
- 6,611
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Are EM waves telling us the probability of finding a photon?
I feel like I've been frequently presented with an interpretation of EM waves that goes something like this:
Light is an oscillating electromagnetic field. Because changes in the electric field ...
- 203
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Is each INDIVIDUAL photon a PHYSICAL wave? [closed]
Sigh.
So I've scoured the internet for many many hours, on many many occasions... aaand, yeah.
Is light:
just ONE photon which acts like a physical wave as those seen in classical mechanics (if so, ...
- 69
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Comparison between wave equation theory and transfer function theory
I deal with analysis of acoustic signals in solids. And after some literature research in physics and mathematic, I have a question about the followings two theories:
Wave equation theory: Imagine I ...
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De Broglie waves and standing waves
I have a conceptual misunderstanding/confusion, for which I will give two examples to illustrate my problem.
Example 1: In Bohr's atom, de Broglie describes the atomic electrons as waves, where the ...
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Frequency of vibration in a wire driven by a tuning fork
A tuning fork of frequency 480 Hz is used to vibrate a sonometer wire having natural frequency 416 Hz. The wire will vibrate with what frequency?
My textbook gives the answer as 480Hz, but i don't ...
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2
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182
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Amplitude and frequency of a wave
What is the amplitude and frequency of wave with the following wave equation:
$$y = A \sin^2(2(kx - \omega t))$$
I plotted the wave at $t = 0$. The resulting wave has amplitude $A$. But my textbook ...
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Particle in a box - standing wave [closed]
Why can't we consider that a particle in a box is an example of a standing wave?
The ends are fixed by the fact that the potential outside is infinite. The only difference being that it is a de ...
- 1,571
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How to write the resultant equation of a wave formed by the superimposition if two waves?
I read that when two waves are superimposed we can find the resultant wave by adding the equations of the two waves. Now, I also learned that when two waves travelling along "same direction" ...
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What is exactly meant by waves travelling along same direction?
I read that Beats are heard when sound waves with same amplitude and a small difference in frequency are travelling along the same direction are superimposed, but in problems related to frequency, the ...
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2
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Can two normal 1D waves form a wave packet?
I have a confusion
A wave packet is described by the superposition of two wave functions: $$Ψ_1(x,t)=A\sin(k_1x−ω_1t)$$ and $$Ψ_2(x,t)=A\sin(k_2x−ω_2t),$$ where $k_1=2.0×10^6\text{m}^{−1}$, $k_2=3.0×...
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De Broglie wavelength and the wave packets
Constructing a wave packet requires adding (superposing) many (if not infinite) plane waves of different wavevectors. A single plane wave has a well-defined wavelength, and hence, from de Broglie
$$p =...
- 113