Recent content by Dr_Nate

  1. Dr_Nate

    I Why do ##t## and ##-i\hbar\partial_t## not satisfy the definition of a linear map/operator in Hilbert space?

    Thank you. This is the answer I am looking for. If I recall correctly something like this was said in the linked thread, but now it is clear to me. I have read many lists of postulates and have never noticed before in those lists that references to Hilbert space were at fixed time. Now, that I...
  2. Dr_Nate

    I Why do ##t## and ##-i\hbar\partial_t## not satisfy the definition of a linear map/operator in Hilbert space?

    The question I am asking is pretty much about straight math. That answer invokes observables, so isn't what I am looking.
  3. Dr_Nate

    I Why do ##t## and ##-i\hbar\partial_t## not satisfy the definition of a linear map/operator in Hilbert space?

    It is common to say that ##t## and ##-i\hbar\partial_t## are not operators in quantum mechanics. But I haven't seen a satisfying justification. As an example of the precision of our discourse, someone has said that ##-i\hbar\partial_t## satisfies the definition of Hermicity, but it is not an...
  4. Dr_Nate

    I Composite quantum systems: Kronecker and Hadamard/Schur products

    In QM textbooks, authors will often jam two kets next to each other and say nothing about the binary operation between them. Other times, it may be called a tensor product, Kronecker product, direct product, or, in Griffith's case, a simple product. I ask the following question in this forum...
  5. Dr_Nate

    I Where Are the Missing Black Holes in the Milky Way?

    Are 0.1% of stellar mass objects now BHs, or will we in the future see 0.1% of them be BHs?
  6. Dr_Nate

    I Colloid complex refractive index from UV-vis spec

    I think it's possible. You could extract k as a function of wavelength, and then fit a series of Lorentz oscillators to it. This would then give you n. Beware though, if you don't understand the physics of your material, then I'd say that you could end up with numbers that aren't a good match to...
  7. Dr_Nate

    I Interpretation of temperature in liquids/solids

    I'll be honest. As a condensed matter physicist who worked at cryogenic temperatures, to me, temperature is what a thermocouple measures. But let me see if I can say a few things you might find helpful. In crystalline solids, temperature modifies the Fermi-Dirac distribution for the electrons...
  8. Dr_Nate

    Requesting Resources and Animations to understand Solid State Physics

    Five? That's in two dimensions. Bravais lattices are mathematical constructions with applications in solid-state physics. They are an early step in understanding electron and phonon band structures.
  9. Dr_Nate

    I Colorless Compounds and electromagnetic radiation

    I think your understanding is little bit off. The Sellmeier equation is an empirical fit to the tails of resonances outside the measured spectrum. Every material has excited electronic states.
  10. Dr_Nate

    I Colorless Compounds and electromagnetic radiation

    Your sentence on visible light is basically correct (Why use the word contextually?). However, I do not understand why you are mentioning UV light and excited molecules. Visible light will transmit without any UV involvement.
  11. Dr_Nate

    I Colorless Compounds and electromagnetic radiation

    To the final sentence, I would add somewhere "and no absorption inside the object".
  12. Dr_Nate

    Requesting Resources and Animations to understand Solid State Physics

    Solid-state physics is an enormous and complicated subject. You need to start with the fundamentals. It's best if you ask specific questions on topics that trouble you. On the fundamentals, understanding a particle in a box is the first step towards understanding electronic band structure.
  13. Dr_Nate

    I Covalent Bonds -- Which type of force?

    Hi @ruivocanadense. I'll give something closer to a high school-esque answer to understand the octet 'rule'. You can't understand it with one fundamental force. There are other rules of physics that are involved in chemistry. First, I am going to 'lie' to you for simplicity and then make a brief...
  14. Dr_Nate

    Refraction of Light: Myth or Reality?

    I know exactly what your teacher is trying to describe. And your teacher's explanation is rubbish. He is using the marching soldiers or the two wheels hitting the sand analogy you see here.
  15. Dr_Nate

    A Phonons as a quasiparticles in a quantum LHO

    It doesn't seem like you included the coupling. But, even if you did, I know you could show similar looking equations. These equations would probably not explicitly show that there is a dispersion relation. I think we diverge on what an uncoupled HO is defined to be. For me, it is something...
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