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7h
comment Derivation of plane wave from inner product of position ket and momentum ket
Thanks for the pointer, I think I've found the relevant material in Sakurai's QM book so I'll check that out.
7h
comment Derivation of plane wave from inner product of position ket and momentum ket
Ok I get this explanation, thanks :)
13h
comment Fourier transform of random variables
Ok maybe I oversimplified the problem. In reality I have a system of interacting nanoparticles described by the non-interacting Hamiltonian shown plus a nearest-neighbour interaction term (described in detail here: arxiv.org/pdf/1411.7796v1.pdf). Basically I just want to know how the game changes when my natural frequency $\omega_0$ can take on a random variable (from a distribution) for each nanoparticle. I want to know how much this disorder smears out the energy spectrum (dispersion) so I know what features will be resolvable.
13h
asked Derivation of plane wave from inner product of position ket and momentum ket
1d
comment Fourier transform of random variables
I edited the question to hopefully make things clearer. Basically I have a real space representation of the Hamiltoniain and I want to go into reciprocal space. I don't know how to treat $\eta$
1d
revised Fourier transform of random variables
added 492 characters in body
1d
comment Fourier transform of random variables
Oh and if people need to choose a distribution to answer the question I would suggest Gaussian, but I don't really mind. To make physical sense it just has to be bunched up around the value $\omega_0$ and die off quickly either side
1d
comment Fourier transform of random variables
Just to be clear I mean that $\omega_0$ changes randomly from each location $\mathbf{R}$ according to some distribution, not that at each location there is some sort of 'blur' of values.
1d
asked Fourier transform of random variables
Apr
7
awarded  Tumbleweed
Mar
31
asked Relationship between plasmon resonance frequency and radius for small nanoparticles
Feb
25
asked Defining a gauge field for an anisotropic material under strain
Jan
28
awarded  Famous Question
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18
awarded  Yearling
Dec
18
comment How can pseudospin be a vector? (Graphene)
Thank you this makes sense
Dec
18
accepted How can pseudospin be a vector? (Graphene)
Nov
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awarded  Teacher
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awarded  Curious
Nov
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comment How can pseudospin be a vector? (Graphene)
The blue arrows are real spin and the red arrows are pseudospin. To be honest I'm not sure! The question stands without the image though. I stole it from this paper if you have access: nature.com/nphys/journal/v7/n1/pdf/nphys1869.pdf
Nov
2
revised How can pseudospin be a vector? (Graphene)
edited body