Recent content by Dr_Nate
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Undergrad 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...- Dr_Nate
- Post #5
- Forum: Quantum Physics
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Undergrad 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.- Dr_Nate
- Post #4
- Forum: Quantum Physics
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Undergrad 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...- Dr_Nate
- Thread
- Hermitian Linear map Operators on hilbert space Quantum mechanics Time
- Replies: 4
- Forum: Quantum Physics
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Undergrad 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...- Dr_Nate
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- Hilbert space Kronecker product
- Replies: 2
- Forum: Linear and Abstract Algebra
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Undergrad 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?- Dr_Nate
- Post #10
- Forum: Astronomy and Astrophysics
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Undergrad 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...- Dr_Nate
- Post #2
- Forum: Atomic and Condensed Matter
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Undergrad 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...- Dr_Nate
- Post #83
- Forum: Atomic and Condensed Matter
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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.- Dr_Nate
- Post #4
- Forum: STEM Academic Advising
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Undergrad 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.- Dr_Nate
- Post #14
- Forum: Atomic and Condensed Matter
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Undergrad 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.- Dr_Nate
- Post #13
- Forum: Atomic and Condensed Matter
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Undergrad Colorless Compounds and electromagnetic radiation
To the final sentence, I would add somewhere "and no absorption inside the object".- Dr_Nate
- Post #12
- Forum: Atomic and Condensed Matter
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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.- Dr_Nate
- Post #2
- Forum: STEM Academic Advising
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Undergrad 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...- Dr_Nate
- Post #8
- Forum: Atomic and Condensed Matter
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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. -
Graduate 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...- Dr_Nate
- Post #29
- Forum: Quantum Physics