# Tagged Questions

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

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 $S$, ...
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 ...
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, ...
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 ...
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: <...
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 ...
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/~...
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### 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 ...
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### 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: ...
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### 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.$\psi$. ...
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### 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: <...
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### 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 ...
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: ...
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 ...
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 ...
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### NDSolve for complex variables

I am trying to simulate a multiple pendulum system with damping as follows: ...
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### 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 ...
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 ...
109 views

### Ballistic motion of a particle giving trouble at high drag values

The following code: ...
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 ...
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 ...
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 ...
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 ...
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 ...
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) ...
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 ...
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### 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." <...
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 ...
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: ...
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?
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### 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 ...
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 ...
84 views

### Jump boundary conditions

I'm having the following issue that can not find a solution , by using this boundary condition ...
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, ...
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### 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 ...
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 ...
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 ...
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? ...
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 ...
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 ...
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### 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 $(x,p)$ ...
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### 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: ...
130 views

### Animate spherical pendulum

I want to plot the position of Spherical pendulum. First I tried to plot the simple pendulum: ...
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 ...