I have a very simple issue with Mathematica, but I can't seem to find an answer for it.
I solved an equation with DSolve, and I got a result as an array of the following type:
Solution = { A11 -> Function[ {t} , expression1] , A22 ->Function[ {t}, expression 2] , etc }
Now I want to define...
Hmm, if I use this one, I only get one vector listing all 9 equations, but it does not solve them. The real problem would be too big to write here, that is why I posted just a simple example.
Thanks Bill, it seems to work. I just have to extend the code you've given to suit something like:
A={{A00,A01,A02},{A10,A11,A12},{A20,A21,A22}}
and
B={{cA11-dA22 , eA01, fA02},{gA10, hA11+jA22, kA12},{lA20,mA21,nA11-oA22}}
where a,b,c,d... are simple coefficients and A00,A01... are the 9...
I want to solve a differential equation of the form
d/dt (R) = B(t)
where R and B are two complex matrices, with time dependent functions as their coefficients.
I want to solve these 3x3 differential equations (ones on the diagonal are actually coupled) and to obtain a matrix form for R. So...
1. I have managed to find the following notebook that would prove useful for me in calculating the concurrence of a 2-qubit state.
http://library.wolfram.com/infocenter/MathSource/6227/
2. The problem is that the code is for Mathematica 5.0, and try as I may, I could not make it...
Say I have the following matrix, written in Mathematica
A := {{a11, a12, a13, a14}, {a21, a22, a23, a24}, {a31, a32, a33,
a34}, {a41, a42, a43, a44}}
I want to exchange the positions of a12 and a21, a14 and a23, a32 and a41 , a34 and a43.
Any ideas?
Thanks.
Dauto, I know they represent the masses of the short and long lived states. The problem is I cannot find their numerical values anywhere, only their difference. Does anyone know what are the specific values of ms and ml?
L.E. Ok , so I managed to solve it and it works. Topic can be closed.
I need to parametrize these values in order to verify a bell inequality, and the result that I get is not ok. This was my question, how can I parametrize these 4 values with the information above, because it seems that only the mL-mS difference is measured, but I haven't found mS and mL themselves.
Homework Statement
Ok, so I need to make a software that will simulate a neutral kaon system, and I only have the following data about the masses and decay widths:
gammaS = 580*gammaL {S = short lived state, L = long lived state}
mS - mL = 0.477*gammaS
Homework Equations
How...
I need to define some "general" variables in Mathematica 8, and I wonder if this can be done the following way.
Say ta[n] and tb[m] are my variables, in turn depending on n and m.
I want to define a function, for example
E[ta[n]_ , tb[m]_ ] := Cos[ ta[n] ] + Sin [tb[m] ] (just a simple...
So considering I have two bases (a,b) and (a', b'), with
a' = 1/sqr(2) ( a + b)
b' = 1/sqr(2) (a - b)
am I correct in saying that the unitary transformation between them is
U = 1/sqr(2) ## \left( \begin{array}{cc}
1 & 1 \\
1 & -1 \\ \end{array} \right) ##. ?
and then
Then ##...
I have two possible bases (a,b) and (a',b'). If I also have the transformation matrix P, such that
P(a,b)=(a',b'), am I correct in assuming that I can change an operator A, from the (a,b) basis to the (a',b') basis by applying
A' = P_transposed * A * P ?
1. I'll post here a simplified version of my problem
Say you have a matrix A, and you want all its components to be functions, for example:
A11 = Sin(a_n)
A12 = Cos(a_n)
A21 = Sin(b_n)
A22 = Cos(b_n)
And I want to be able to do this in mathematica so as to have the matrix A a...
What exactly is a Yang-Mills Theory? Is it a general theory, based on SU(N) symmetry, which can then be applied for particular cases (ElectroWeak, Chromodynamics) ? Is it like a general mathematical model of gauge theory ?
Yeah, but I mean... it's freakin' awsome reading them and seeing how they solve one problem in QFT using GR or Statistical Physics arguments, and so on. Another question, related to the first...after you finish studying something, do you remember how to do the derivations? For example, could you...
I'm a PhD student in theoretical physics, and I am just amazed by how much physicists working in my field actually know. I am currently studying QFT and plan on going a bit deeper into General Relativity afterwards, but look at people like Rovelli or Susskind (just two names that came to my...
Well, I was doing a problem the other day, inserting the complete interaction QED Lagrangian into the Euler-Lagrange equations, in order to obtain the field equation governing the interacting electromagnetic field, with the Dirac field. The problem is that, by doing so, I got the equation, but...
Ok, so what is Infrared cutoff / UV cutoff, specifically, what is a cutoff ? An upper/lower bound placed on the energy / frequency spectra? If so, by an infinite volume cutoff, do you mean the volume that appears in all field equation solutions of QFT (Klein-Gordon, Dirac, Vector) is imposed as...
Standard QM and QFT use space-time as a background, I don't think they give any hint at the structure or properties of space-time. Maybe symmetries are the only thing touching on the subject, but other than that...it's really difficult to define a time operator (as an observable), but I could be...
aaaa202 , a cristal clear explanation of the time ordering operator, and Wick's theorem (among most fundamental concepts of QFT) is given in R. Klauber's book
https://www.amazon.com/dp/0984513922/?tag=pfamazon01-20&tag=pfamazon01-20
This and Mandl&Shaw are what you must start out with.
When you switch from Classical to Quantum Physics, as an undergraduate, there is one more thing you lose, after certainty....you lose intuitive understanding. Ok, we can obtain probability amplitudes for this or that, but is there any chance we will ever know HOW it happens? Could we have a...
First of all, what is an "asymptotically free theory" ? Second, I don't know how you apply a lattice to QFT. From what wikipedia says, "Every lattice in ℝ^n can be generated from a basis for the vector space by forming all linear combinations with integer coefficients." So taking linear...
So I'm currently studying QFT, and I got to the point where I realized that the S operator, initially assumed to be unitary, is not unitary anymore, since it is assumed to act between t0 = - infinity and tf = infinity. The author of the book I'm using says this is due to Haag's Theorem, so I...
Well, it works, but it's a hell of a lot of work. The thing is that I don't understand the topic if I don't do all the intermediary calculations, and some books skip a whole lot of detail, so you can find yourself going over 2 or 3 pages per day... and if you're unlucky, you can even get stuck...
Well, my style is relatively simple. I read each subchapter, write in my notebook everything, by doing all intermediary calculations, and then , after I finish the whole chapter, re-read all my notes and do the problems. Sometimes I create a chart, where I put the most important results, in a...