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T Abraham
T Abraham
00:10
@vzn me too!
T Abraham
T Abraham
00:31
Anyway,
have you heard of memcapacitors and meminductors? I hear they've already been made..They are cool too...
@vzn I see u haven't followed my nanotech proposal... why won't u follow?
 
1 hour later…
vzn
vzn
01:46
TA cant think of much questions to ask for the site. think you might be jumping the gun a little, like idea but suspect nanotech seems a bit far off, not that many experts in the whole world to sustain a whole group right now.
T Abraham
T Abraham
@vzn I wished u would follow, but if that's your opinion, you are entitled to that opinion...
anyway, let's talk about quantum biology or memristors... which would you like to talk about...
vzn
vzn
youre really fighting for every signup there arentya? gotta admire that know the feeling
how would you like to hear my new QM formulations
TK acts like its no big deal so far :\
T Abraham
T Abraham
@vzn yeah.. I think it's a great field so I want to create a stack exchange website for it...
@vzn ok...
vzn
vzn
he says hes overwhelmed hah.
T Abraham
T Abraham
@vzn who's TK ?
vzn
vzn
01:52
scroll back in the chat
T Abraham
T Abraham
@vzn oh... thomas kimpel.. yeah?
anyway what are they?
vzn
vzn
hah long story.
T Abraham
T Abraham
anyway what are the formulations you have @vzn ?
vzn
vzn
have you heard of "hidden variables"?
T Abraham
T Abraham
@vzn yeah..
what about them?
vzn
vzn
01:54
whats your opinion/ take?
T Abraham
T Abraham
@vzn I guess they don't exist...
vzn
vzn
right.
TK/I are exploring subtle exceptions to the "no LHV" (local hidden variables) std consensus/ near-dogma of physics
T Abraham
T Abraham
@vzn interesting...
vzn
vzn
its a very deep field that goes back many decades.
so am coming up with examples of "hidden variables" in classical physics as mental models/ examples to ponder.
to challenge the idea that they're inherently unnatural. they are actually quite natural/ prevalent.
case studies etc.
T Abraham
T Abraham
@vzn examples?
vzn
vzn
01:59
ok scroll back & take a look at the pinball example a little & will explain it if you have time/ interest.
so have you studied qm on your own? what materials?
T Abraham
T Abraham
@vzn a link please...
vzn
vzn
...
T Abraham
T Abraham
@vzn yes.. my book was "Quantum Mechanics: A Theoretical Minimun" ..the members of h bar don't think it goes into depth enough but...However, I think it is simple enough and covers I think half of griffiths..
vzn
vzn
Jan 15 at 5:58, by vzn
....
play the video for fun
a pictures worth 1k words & videos a few times that :)
T Abraham
T Abraham
@vzn what about this is relevent to hidden variables?
vzn
vzn
02:04
did you watch it? its a "gedanken" heard the term?
TK/ others in this room have a lot of philosophy bkg & its some in that spirit.
it fits in with the room inspiration (a question by TK) toy models of QM
T Abraham
T Abraham
anyway, u know quantum mechanics math?
vzn
vzn
generally. not an expert.
TK is apparently very on top of the math.
the history of QM is full of lots of colorful gedanken by its founders you know. schroedingers cat comes to mind.
T Abraham
T Abraham
@ThomasKlimpel u there?
@vzn what was the most number of people u had here?
vzn
vzn
its a new chat room. its not easy to get chat groups on stackexchange in general.
many rooms die off regularly...
T Abraham
T Abraham
@vzn no... unless it isn't active.. but we're active members of this room...
vzn
vzn
02:11
at most 2 so active far; we seem to have "lurkers" at the moment... new room audience record lol
T Abraham
T Abraham
@vzn who are those 2?
vzn
vzn
you & me!
T Abraham
T Abraham
@vzn and TK ?
vzn
vzn
we had a 3-way asynchronous chat earlier with NK.
T Abraham
T Abraham
@vzn who's NK?
never mind... figured who Nk is..
vzn
vzn
02:14
NikolajK. the room will not make much sense unless you scroll back.
am interested in pushing se chat rooms into new directions/ uses beyond the merely frivolous.
T Abraham
T Abraham
@ThomasKlimpel u avaialbe?
Thomas Klimpel
Thomas Klimpel
I should go to bed soon...
vzn
vzn
in theory salon, Nov 30 '14 at 16:39, by vzn
stackexchange (T)CS chat highlights / TMachine blog
T Abraham
T Abraham
@ThomasKlimpel I have some math questions..
Thomas Klimpel
Thomas Klimpel
Math questions related to memristors?
T Abraham
T Abraham
02:17
@ThomasKlimpel no...unless you have time to answer my memristor math questions... I had QM questions... how much time u have?
Thomas Klimpel
Thomas Klimpel
Just ask, in the worst case I will go to bed and answer them tomorrow.
T Abraham
T Abraham
@ThomasKlimpel how would I diangolize this:
$$ H = \sum_i \epsilon_i \sigma^+_i\sigma^-_i + \sum_{i\neq j} V_{ij} \sigma^+_i \sigma^-_j, $$
@ThomasKlimpel u there?
Thomas Klimpel
Thomas Klimpel
So I guess $\sigma_i^+$ is the positive spin in direction $i$, similar for $\sigma_j^-$. And $\epsilon_i$ is a parameter, similar for $V_{ij}$.
Or maybe you prefer to write this as $\sigma_i\sigma_i^+=\sigma_i^+$ and $\sigma_i\sigma_i^-=-\sigma_i^-$.
With $\sigma_x=\begin{bmatrix}0&1\\1&0\end{bmatrix}$, $\sigma_y=\begin{bmatrix}0&-i\\i&0\end{bmatrix}$, and $\sigma_z=\begin{bmatrix}1&0\\0&-1\end{bmatrix}$, we get
$\sigma_x^+=\begin{bmatrix}1\\1\end{bmatrix}$, $\sigma_x^-=\begin{bmatrix}-1\\1\end{bmatrix}$, $\sigma_y^+=\begin{bmatrix}1\\i\end{bmatrix}$, $\sigma_y^-=\begin{bmatrix}1\\-i\end{bmatrix}$ and ...
But it doesn't work out that way, because $\sigma_x^+\sigma_x^-$ doesn't even seem to give me an Hermitian operator. So you must mean something else by $\sigma_x^+$, but what? Can you tell me?
Are these the creation and annihilation operators from a Fock space?
7
A: Plants and Quantum Mechanics!

Mark MitchisonThe role of coherence in biological electron transport, e.g. within chromophores, is an open and actively researched problem in quantum optics/quantum chemistry. The two classic theoretical treatments which kick-started the field are by Plenio & Huelga and Mohseni et al.. Since then an enormous l...

So the answer is $\sigma^{\pm}_i = 1/2(\sigma^x_i \pm \mathrm{i}\sigma^y_i)$, i.e. my guess with the spin wasn't too bad, but not quite right either.
This will give you a quite general Hermitian matrix, so no special tricks for analytical diagonalizaton should be available. But I would have to look up the answer and the articles, to understand what they want to learn or deduce from this Hamiltonian.
T Abraham
T Abraham
03:06
@ThomasKlimpel yes this is where the equation came from
@ThomasKlimpel yes...
@ThomasKlimpel how?
@ThomasKlimpel is this the only way to solve the equation H|e> = e|e> ?
vzn
vzn
03:27
is this a linear eqn? afaik all nonsingular matrices can be diagonalized via gaussian elimination/ computation.
& then there is specific theory for dealing with diagonalizing special forms.
see we could be talking about the pinball mechanism right now its far easier :p
are you interested in that codegolf GA challenge? coincidentally have been playing with a GA recently & blogging on it also.
T Abraham
T Abraham
04:16
@vzn yeah...
@vzn what do u now about them?
T Abraham
T Abraham
04:37
@vzn what do you know about GA? u into neural netwroks?
 
2 hours later…
vzn
vzn
06:11
its in my recent blog entries. applying it to the collatz problem. have you worked with them at all?
havent worked with ANNs too much but am very interested in deep learning...
 
14 hours later…
T Abraham
T Abraham
20:00
@vzn not really
Is @ThomasKlimpel available?
 
1 hour later…
T Abraham
T Abraham
21:14
@vzn what's this about?
@vzn it's a linear algebra question so I guess yeah...
hello @vzn !
u there @vzn ?
vzn
vzn
hi. where did you get the eqn? it would be helpful if you cite paper/ eqn no
T Abraham
T Abraham
@vzn MM gave it to me..
@vzn I am talking about it in the H bar... if u want, u can join the convo..
vzn
vzn
21:30
did he get it out of a paper?
T Abraham
T Abraham
@vzn it was in that paper I gave you.. the quantum dephasing transport one.. e gave me a very similar eqn..
vzn
vzn
can you cite which eqn # it is in the paper, are they numbered?
T Abraham
T Abraham
@vzn I think it's the first one..
vzn
vzn
scrolling looking around trying to remember where you cited the paper
T Abraham
T Abraham
arxiv.org/pdf/0807.4902v1.pdf
vzn
vzn
21:36
ok yeah found it.
T Abraham
T Abraham
@vzn so..
vzn
vzn
reading it.
T Abraham
T Abraham
@vzn ok..
vzn
vzn
not following what they mean by "population being transferred" between sites.
particles moving between sites? electrons?
T Abraham
T Abraham
@vzn I think excitons..
vzn
vzn
21:46
feel the methods section is not very clear. but am not familiar with papers/ science in this area.
they seem to be mixing derived formulas with numerical (empirical) simulations but a lot is allusion and the boundaries are not so clear.
T Abraham
T Abraham
@vzn me too...
vzn
vzn
what is an exciton?
T Abraham
T Abraham
@vzn google it..
@vzn u there?
vzn
vzn
reading your other conversation in physics
lets talk about the pinball metaphor/ analogy instead :)
T Abraham
T Abraham
@vzn which ones..
vzn
vzn
21:57
what do you want to accomplish with the paper? its very advanced qm theory coupled somewhat with biology.
T Abraham
T Abraham
@vzn i see.. u think it's hard too..
vzn
vzn
its advanced research.
T Abraham
T Abraham
@vzn so u give up?
that's sad..
vzn
vzn
lol just taking a break
T Abraham
T Abraham
@vzn from math?
vzn
vzn
21:59
you goal is not clear. you want to understand the paper? understanding happens at many levels
T Abraham
T Abraham
@vzn read this:
8
Q: Plants and Quantum Mechanics!

T AbrahamSo, I have been working on quantum biology and found something interesting that I would like to write an equation for: Scientists have wondered how plants have such a high efficiency in photosynthesis... They always thought that the photons' energy (needed for photosynthesis) reach the "reaction...

quantum-mechanics quantum-information path-integral superposition
that's my goal!
vzn
vzn
Exciton
An exciton is a bound state of an electron and an electron hole which are attracted to each other by the electrostatic Coulomb force. It is an electrically neutral quasiparticle that exists in insulators, semiconductors and in some liquids. The exciton is regarded as an elementary excitation of condensed matter that can transport energy without transporting net electric charge. An exciton can form when a photon is absorbed by a semiconductor. This excites an electron from the valence band into the conduction band. In turn, this leaves behind a positively-charged electron hole (an abstraction for...
T Abraham
T Abraham
@vzn so?
@vzn gota go! ttyl ! Bye!
vzn
vzn
it would be good if you cited the discover article.
analysis of the exact nature of photosynthesis in plants is basically an open question. its not fully understood yet.
coincidentally MM is working in a very similar area; there is some overlap in designing efficient solar cells.
T Abraham
T Abraham
@vzn the discover article isn't so good at explaining the phenomenon and it isn't on the internet...
@vzn I know..
vzn
vzn
22:08
it doesnt matter, still cite it by mo/ year etc its better.
the article maybe doesnt explain it clearly because scientists still dont fully understand it themselves.
T Abraham
T Abraham
@vzn no.. it's just not a good description..
vzn
vzn
the plenio/ huelga paper is related but actually has 0 refs to photosynthesis.
T Abraham
T Abraham
@vzn but is simlar to the processes...
vzn
vzn
afaik scientists do not have qm formulas for all the photosynthesis dynamics. some are conjectured. its an active area of research.
MMs answer (just read it) reiterates that.
apparently the problem is somewhat simplified/ reduced to looking into "efficient energy transport" among atomic sites.
afaik, it is not even totally proven that QM physics is reqd to analyze photosynthesis. its a relatively recent conjecture. (admittedly plausible.)

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