# Tag Info

1 vote

There is probably a constant $\mu$ present in your Quantum Field Theory book. For the rest, analytically, your function has definition \frac{1}{z}\left( -k^2\right)^z= e^{z \log(-k^2) - \log z} = e^{...

### How to numerically solve symmetric top with fixed point motion equations with Mathematica?

This is Manipulate of Symmetric top gyroscope motion. It has many options to explore the dynamics. I wanted to improve it more, but no time now. But it works and has many options to play with. Code <...

### Solving Geodesics from Christoffel Symbols

In an earlier comment I made, I mentioned that the term Exp[g[t] + f[r]] was common to all the spatial terms in your metric, and that you might want to consider factoring the exponential and ...

### Solving Geodesics from Christoffel Symbols

On my first post, I found the geodesics equations found from Christoffel symbols: ...

### Solving Geodesics from Christoffel Symbols

Euler-Lagrange equation for geodesics produce the Christoffel symbols as coefficients of the products of velocities in the equation of motion, solved for the second order derivatives of the ...

### Is there concise code for the list operation I want to perform?

list = Range; TakeList[list, #] & /@ Sort @ Cases[IntegerPartitions, x : {_, _} :> Sequence[x, Reverse @ x]] Column[%]
Accepted

### Thermodynamics of the 2D Ising model

The energy can be calculated exactly as written in the formula using Sum and correct indices: ...
1 vote

### How to numerically solve symmetric top with fixed point motion equations with Mathematica?

The use of the Hamilton function (energy) in terms of the velocities for deriving equations of motion is always a dangerous mistake. Use the Lagrangian equations (trivial with two constant angular ...
1 vote

### Plot wavefronts of Laguerre-Gaussian modes

Code to reproduce $l$ periods on $(0, 2\pi)$ can be modified from our answer here as follows ...

Top 50 recent answers are included