Phonon Spectrum: Explained in Terms of Electromagnetic Spectrum

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The phonon spectrum refers to the distribution of phonons in energy or frequency space, similar to how the electromagnetic spectrum represents different frequencies of electromagnetic waves. It is primarily associated with sound, as phonons are quantized modes of vibrations in a material. The concept can be compared to a spectrum analyzer that displays the frequency distribution of audio signals. Understanding the phonon spectrum is essential for studying thermal and acoustic properties of materials. Overall, it provides insight into how vibrational energy is distributed in solids.
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Hello there, my physics friends.

I was hoping ye could answer a wee question I have on the phonon spectrum. Mainly,what is it? I know one of the mediations is sound but that's about it. If possible could you put it in terms similar to that of the electromagnetic spectrum.

Thanks in advance for all your help, it's much appreciated.
 
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Echo, echo, echo, echo, echo.
 
I am not sure what you are asking about.
The phonon spectrum is simply another name for the distribution of phonons in energy/ frequency space.
i.e. it is really no different than when the spectrum analyzer in e.g. Winamp shows the frequency distribution of a piece of music.
 
Thanks
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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