All Questions
Tagged with physics calculus-and-analysis
105
questions
1
vote
1
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62
views
StreamPlot3d for the magnetic field of a loop
I am trying to go beyond StreamPlot in the case of a current loop that produces a magnetic field. My code works for StreamPlot, but does not end when I use the same field expressions with StreamPlot3D....
- 43
1
vote
1
answer
60
views
Checking the formula for solving the Poisson equation with an integral over all of space
EDIT: According to 2.2.3 Rigorous derivation, if we find the integral $u(x,y) = \int \int G(x,y,m,n)f(m,n) dm dn$ then we obtain a function that satisfies the Poisson equation $\nabla^2u(x,y)=f(x,y)$. ...
- 2,444
1
vote
2
answers
98
views
How to demonstrate the acceleration using spherical coordinates and spherical unit vectors?
I've been trying to use Mathematica to demonstrate using spherical coordinates and unit vectors the acceleration for a particle moving in a sphere. Nevertheless, I'm actually not that skilled in ...
9
votes
4
answers
487
views
Poincaré section of the particle motion near the black hole horizon
I am trying to recreate the Poincaré sections given in Figure 2 of this paper.
For this purpose, I use the following two methods:
Method1: Using ResourceFunction["ClickPoincarePlot2D"]
<...
- 2,433
1
vote
1
answer
105
views
Plot after applying NIntegrate
I'm trying to integrate and graph $I$ vs $b$ the following integral (eq. 24 in this paper) in wolfram mathematica
$$ I = \int_{2}^{\infty} \frac{g_i^3 \mathcal{K}_t \mathrm{~d} r}{r^2\left|\mathcal{K}...
- 117
0
votes
1
answer
103
views
Change of variable of a numerically solved integral
I have the following function that numerically integrates a function on the interval $\left[ 2, 100 \right]$
...
- 117
1
vote
0
answers
84
views
Intensity pattern [closed]
I'm trying to get the following intensity pattern from this paper
In the Newtonian case, the equations for the intensity (eq. 9 and 10 in the article), I put them in Mathematica with the change $b^2 =...
- 117
1
vote
1
answer
266
views
Plot solution of an integral with parameter
In this article, they solve the following integral
$$ \mathcal{I}_{o b s}\left(\nu_0\right)=\int_{\gamma_i} \frac{(A(r))^{3 / 2}}{r^2} \sqrt{\frac{1}{A(r)}+r^2\left(\frac{d \varphi}{d r}\right)^2} d r ...
- 117
1
vote
1
answer
137
views
Plot wavefronts of Laguerre-Gaussian modes
I am trying to plot wavefronts of Laguerre-Gaussian modes, and want to show the changing number of twists with the change in l values. If anyone has the code or any insights. Kindly help me about it. ...
- 45
4
votes
1
answer
1k
views
What are some Mathematica packages used for general relativity?
Could you suggest any Mathematica packages that are used for General relativity calculations? Id like to write code to solve the Schwarzchild Lagrangian equation.
1
vote
1
answer
91
views
Proving an expression from Mathematica which is clearly visible from Plots
I have the following Mathematica code:
...
- 2,433
2
votes
1
answer
115
views
Eigenfunction condition of time-independent Schrödinger equation
I'm trying to get the eigenfunctions and eigenvalues of the following one-dimensional Schrodinger equation: $$ -\frac{1}{2}\frac{d^2}{dx^2}\psi(x)+V(x)\psi(x)=E\psi(x)\,,$$ where the external ...
- 23
4
votes
0
answers
124
views
Calculate the integral of the Slater determinant
This is a Slater determinant:
$$
s=\left|\begin{array}{ll}
\psi_{1 s}\left(r_1\right) \alpha & \psi_{1 s}\left(r_1\right) \beta \\
\psi_{1 s}\left(r_2\right) \alpha & \psi_{1 s}\left(r_2\right)...
- 1,572
1
vote
1
answer
147
views
Never ending Integrate computation
I am studying the result of a Feynman Diagram, trying to apply the Renormalization Group to a Field theory for Active Matter. I have arrived at a point where I want to integrate with Mathematica a ...
- 13
1
vote
1
answer
110
views
Linearizing equations of motion
I am given the equations of motion:
$$\dot{r} = f(r)p_r,$$
$$\dot{p_r} = -\frac{V'(r)}{2f(r)}-\frac{f'(r){p_r}^2}{2}+\frac{V(r)-E^2}{2f^2(r)}f'(r)$$
Along with the conditions that $$E^2-V(r_0)=V'(r_0)=...
- 2,433