Questions related to the application of Mathematica to problems in physics.

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3
votes
0answers
509 views

Visualising Special Relativity

Mathematica newbie learning by doing (or not so far, in this case). Problem: Special Relativity - consider two inertial frames $A$ & $A'$ in relative motion. At a time $t0$ as measured in $S$, ...
0
votes
1answer
87 views

Making a bouncing ball simulation interactive [closed]

Problem A ball initially at height $h_0$ above a horizontal surface is dropped at time $t = 0$ with zero initial velocity. When it arrives at the surface, the ball bounces in the vertical ...
1
vote
1answer
169 views

Visualizing interference of two waves on the plane

I need to make an animation of interfering coherent waves on the plane, that are produced by two sources. I would really appreciate if I am able to change the wavelength. I am quite new to Wolfram, ...
12
votes
2answers
265 views

Fractal basins of attraction in a Magnetic Pendulum

I am trying to write a Mathematica program that realizes a graphical approximation of the basins of attraction in a Magnetic pendulum subject to friction and gravity, in which the three magnets are ...
3
votes
1answer
166 views

Controlling scaling of multiple vector fields in VectorPlot3D

I'm trying to plot the electric and magnetic fields of a relativistically moving electric charge using VectorPlot3D, and apply "Manipulate" to change the velocity. The code I'm using is as follows: <...
47
votes
1answer
4k views

Measuring fractal dimension of natural objects from digital images

This is a useful topic. A college physics lab, medical diagnostics, urban growth, etc. - there is a lot of applications. On this site by Paul Bourke about Google Earth fractals we can get a high ...
21
votes
2answers
1k views

1D Euler equations (fluid dynamics) with NDSolve

Is it possible to accurately solve the 1D Euler equations in Mathematica using NDSolve? For example, let us consider the problem given here: http://www.csun.edu/~...
3
votes
1answer
123 views

Finding Maximum Value of ElectricField in a bounded region

I have been trying to find the maximum value of the magnitude of an electric field in a bounded region. NDSolve gives the value of the potential inside the region ...
1
vote
1answer
94 views

Need help in understanding hydrogen orbitals code [closed]

I just got a copy of Mathematica and I'm busy learning the basics. I got mathematica so I can plot hydrogen orbitals but I'm completely lost. I looked around and I found this: ...
1
vote
1answer
50 views

Sorting Data by Differences between Columns

In Band Structure calculations one gets rather extensive data of Energy Values (Eigenvalues) and the associated Eigenvectors out of the solution of an Eigenequation of e.g. the form H.$\psi$=E.$\psi$. ...
1
vote
2answers
79 views

Plotting spectral emissive power versus wavelength

I am trying to plot a set of curves using the Planck distribution function for the following temperatures: (2000,1000,400,100)K. I attempted to do the following: <...
0
votes
1answer
30 views

Determination of coefficients matrix in one dimensional Kronig-Penney Model

In page 169 , Chapter 7, from book "Introduction to solid state physics (Eighth Edition)" by Kittel, there are 4 equations as below. Without need to any additional physics information I just want to ...
11
votes
2answers
264 views

Interfacing Red Pitaya board with Mathematica

[EDIT:July 1st 2016]. I finally did the job by myself and built a (JLink based and limited) redpitaya package that is enough to play with the examples showed on the redpitaya site. I presented it at: ...
3
votes
1answer
143 views

Learning Mathematica for Physics

I'm a student of physics with little to no background in programming. I have to learn Mathematica for my Physics project. As of now, I need it for doing numerical integration, numerical optimization ...
20
votes
1answer
675 views

How to numerically solve a 1-d time-independent Schrödinger equation?

The point is to solve the eigensystem of the given Hamiltonian. I tried ParametricNDSolve combined with FindRoot to search for ...
1
vote
1answer
51 views

NDSolve for complex variables

I am trying to simulate a multiple pendulum system with damping as follows: ...
1
vote
1answer
185 views

My code uses `ClebschGordan` but `Mathematica` is using `ThreeJSymbol`

I'm using a function that calculate CG coefficients with the function ClebschGordan but instead, I've got the following error because Mathematica is using ...
4
votes
1answer
137 views

Solving 2D Laplace equation for irregular boundaries [closed]

I want to solve Laplace equation in 2D with $x$ and $y$ coordinates with the boundary conditions $V(0,y)=-180$; $V(x,0)=50x-180$; $V(x,6)=50x-180$; $V(453.595-\sqrt{450.05^2 - (y - 3)^2},y)=0$ The ...
2
votes
3answers
793 views

draw part of parabola using graphics

today I was doing my physics homework. one of the questions was draw velocity-time and position-time graphs from the acceleration-time graph. So for the first step I draw acceleration-time using ...
13
votes
2answers
272 views

Heat convection differential equations from 1952 - Mathematica “fails to converge”

I am trying to solve a fundamental problem in analytical convective heat transfer: laminar free convection flow and heat transfer from a flat plate parallel to the direction of the generating body ...
6
votes
1answer
122 views

How to numerically solve a 1D time-independent Schrödinger equation for two interacting particles

Solving the 1D single-electron time-independent Schrödinger equation has been demonstrated using NDEigensystem here. There, the single-electron Schrödinger equation ...
2
votes
2answers
262 views

Ion motion in uniform axial magnetic field and radial electric field [closed]

I'm trying to model an ion's 3D motion in a constant/uniform axial magnetic field and a radial electric field (similar to a cylindrical magnetron, but two positive parallel center electrodes offset by ...
8
votes
1answer
125 views

Calculating density of states from lists of momentum/energy data

I am trying to calculate the density of states for a 2D system given certain band structure data organized in a specific format. Below is an example of my procedure: Beginning with a simple 2 x 2 ...
9
votes
3answers
2k views

How to create an inverse pole figure color map

To interpret electron backscatter diffraction (EBSD) results, inverse pole figures are used. A three dimensional space of directions ([100], [110] and [111] for those who know about crystallography) ...
3
votes
1answer
124 views

How? 2-dimension visualisation of all 3d-orbitals as either a density plot or as function of maximal radius

I've been playing around with some d-orbitals and have been trying to view their maximum in two dimensions. At the moment I've progressed to the point where the d__ orbitals are superimposed onto one ...
0
votes
1answer
79 views

Lagrangian for Spring-Pendulum [closed]

I solved a Spring-Pendulum System with NDSolve. I tried to plot a graph with the interpolated data but always returns a message "An improperly formatted directive with head Symbol was encountered." <...
21
votes
4answers
3k views

Convert spectral distribution to RGB color

Presume that I have a spectrum as a function of wavelength (an example being the blackbody spectrum): I want to convert that to a single RGB color to display on-screen, i.e. the "color" of that ...
8
votes
2answers
334 views

Lagrangian to Hamiltonian

I want to go from Lagrangian description to Hamiltonian one. Using the example given by Mathematica I do something like: ...
31
votes
3answers
1k views

A better “VisibleSpectrum” function?

Since ColorData["VisibleSpectrum"] is wrong, I would like to have a more accurate function to use. Can this information be extracted from Mathematica itself?
1
vote
1answer
241 views

Why Integral does not converge?

I am trying to solve for $\Omega$ this nonlinear integral equation: $$1+\dfrac{z}{k^2}-\dfrac{z^2}{K_2(z)} \dfrac{\Omega}{k^3} \displaystyle\int_{1}^{\infty} \gamma^2\, \text{ArcTanh} \left(\sqrt{\...
2
votes
0answers
112 views

What is a good way to model fluid stream contours around airfoils?

I am an undergraduate student and am doing a project on conformal mapping for my complex analysis class. I have had one heck of a time trying to plot stream function contours to model fluid flow in ...
0
votes
0answers
52 views

Eigenelements of conductivity equation

I am trying to calculate the eigenvalues and eigenfunctions of the conductivity equation in an annulus. In particular I am looking for $(\lambda, u)$ s.t. $$ \begin{cases} \Delta u = \lambda u & \...
0
votes
0answers
37 views

Solving Time-Dependent PDE's Analytically with no non-trivial Boundary Conditions

I'm having some trouble solving a partial differential equation that is supposed to model the propagation of a scalar field in Schwarzschild spacetime using spherical coordinates. I'm using the DSolve ...
0
votes
0answers
38 views

Recycle boundary condition

I'm having the following issue that can not find a solution , by using this boundary condition u[0, t] == 2 u[1, t] that Mathematica does not understand, someone ...
0
votes
2answers
84 views

Jump boundary conditions

I'm having the following issue that can not find a solution , by using this boundary condition ...
0
votes
2answers
88 views

Free-fall air resistance problem

I´m working on a free fall problem and I got an equation with variable $k$ when the situation has air resistance. Then I compared with no air resistance equation ($-4.9$, considering t variable). So, ...
-1
votes
1answer
43 views

Solve returns empty list on system of 62 linear equations with undeclared known variables

Context: I am trying to solve a set of equations generated by hand from a complicated, but not particularly strange system via Newton's Second and Third Laws, and a few constraints. All the resulting ...
0
votes
1answer
59 views

Verify angle pi/4 maximizes launch range [closed]

I'm solving the equation of motion for a projectile in the x, y plane and got this: R = v0^2 sin(2 theta) / g where R is the range of how far the object will ...
0
votes
1answer
102 views

Plotting graphical analysis of chaotic behavior

I am trying to plot some results of chaotic behavior in a system based on a paper for one of my classes. I am a physics undergrad. I found some sample code online springy.nb which I have been trying ...
0
votes
3answers
174 views

Can I convert a 3-D plot into a 2-D plot?

I am studying the Landau Free Energy Equation. First of all the plot displayed only shown negative range. can i show the positive range too? (y-axes). Then, can I turn this plot into 2-D Plot? ...
-1
votes
1answer
57 views

NDSolve and vectors [closed]

I think I can't find solution of equation below because I need use scalars, not vectors as I have tried. But I don't know how I can do express the problem with scalars. I have read Wolfram Language ...
22
votes
1answer
290 views

How to model wooden joints with mathematica's FEM?

This is a dovetail joint: and I'd like to see the stresses and deformation on the joint.I haven't seen any modeling of disconnected regions with FEM, only connected regions, so I'm curious if you ...
12
votes
2answers
303 views

Sampling a phase space uniformly for a given energy?

The energy for a 1D harmonic oscillator can be written: $$ E = \frac{1}{2 m} p^2 + \frac{m \omega^2}{2} x^2 $$ where x is position and p is the momentum. I would like to sample phase space $(x,p)$ ...
1
vote
0answers
107 views

How to find the eigenvalues of a custom operator using NDEigensystem? [closed]

I would like to solve a Hamiltonian presented by a 2x2 matrix. Hamiltonian is given by: ...
0
votes
1answer
130 views

Animate spherical pendulum

I want to plot the position of Spherical pendulum. First I tried to plot the simple pendulum: ...
0
votes
1answer
130 views

How can I solve a Hamiltonian with numerical methods?

Hamiltonian in terms of two level atom's operator (0 is ground state and 1 is excited state) which are 2*2 matrices and cavity modes are given by $a$ and $a^\dagger$. Rest of the parameters are ...
0
votes
2answers
80 views

Determine the initial speed and launch angle of a projectile from its trajectory

I have the coordinates {x,y} needed to plot the trajectory of a projectile, which are given below: ...