All Questions
Tagged with physics eigenvalues
28
questions
3
votes
1
answer
158
views
Dirac equation for a Coulomb potential in 2D with NDEigensystem
I want to numerically solve the ground state wave function of the hydrogen atom with the Coulomb potential using the NDEigensystem. Here is the code to get the ground state wave function from the ...
- 51
2
votes
1
answer
222
views
Numerical ground state wavefunction of Schrödinger equation with a Coulomb potential in 2D from NDEigensystem
I want to numerically solve the ground state wave function of the hydrogen atom with the Coulomb potential using the NDEigensystem. Here is the code to get the ground state wave function from the ...
- 51
1
vote
1
answer
128
views
How can I use Gaussian elimination for finding QNMs in this code?
I am reading the article Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole. I want to reproduce the value of the quasinormal frequency with $l=2,...
- 41
2
votes
1
answer
360
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Solving Schrödinger equation for Dirac comb potential (kicked rotor)
I need to solve the Schrödinger equation for a Dirac delta potential. I could not find the correct way to write the time-dependent potential and how to solve the time-dependent equation for it.
The ...
- 2,644
5
votes
1
answer
165
views
How to plot the spectrum of infinite dimensional operators?
For a finite dimensional operator it is easy to find eigenvalues in Mathematica. However, I found this example $H=p^2 + x^2 (ix)^\epsilon$ in this article. The spectrum of $H$ is plotted in figure 1 ...
- 613
0
votes
1
answer
56
views
List of eigenvalues of a list of abstract states
Suppose I have the states \Psi, \Phi and \Zeta and I also have the following relations given ...
- 247
2
votes
1
answer
283
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How to find the characteristic vibration frequencies of a system with any number of masses and springs using eigendecomposition?
I have created a program to solve any system of three springs and two masses using Mathematica's Eigendecomposition functions.
My goal is to solve a generalization of the spring system presented in ...
- 1,725
3
votes
0
answers
423
views
Chladni experiment verification
I refurbished my post in order to be more understandable.
After computing simulations of Chladni patterns with Mathematica (see my previous topics), I finally went to practice. I realized my own ...
- 195
1
vote
1
answer
572
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Numerical solution of Eigenvalue equation
I am interested in finding eigenvalues of Schrödinger-type equations, a prototype example being
$$- w^{\prime \prime } (y) - 6 \operatorname{sech}^2 (y) w(y) + w(y) = \lambda w(y)$$
I posted a ...
- 775
8
votes
0
answers
797
views
Numeric Solution Hydrogen Atom
I'm trying to solve the Schrödinger equation for the hydrogen atom without made the variable separation of the polar and radial coordinate. It is my test code to extrapolate to another system with its ...
- 491
0
votes
1
answer
378
views
How can I get rid of Abs?
In the following code, the functions WP[t] and WS[t] are real. Time also is a positive parameter. As you can see, MATHEMATICA enters Abs in the calculations. Including Abs only complicates the next ...
0
votes
0
answers
39
views
how can I correct this code? [duplicate]
I need to calculate matrix m1 according to following algorithm. Then, I have to put it in the differential equation. However, matrix m1 is complex and therefore the differential equation does not work....
0
votes
0
answers
79
views
How to solve the following equation numerically?
In the following code, if the matrix "n = (-I*(m1)) + (m2)" in the differential equation contains only the matrix "m1", I will get the answer, but if the matrix "n" is ...
5
votes
0
answers
110
views
Effectivelly using Compile for calculate a Unitary transformation
I am new to Mathematica, and this is my first post, so if my question is not clear enough, I would be glad to read the comments and edit my question to add more information.
The problem
I need to ...
2
votes
0
answers
72
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What kind of performance should I expect out of Eigensystem using FEAST?
I'm numerically solving a time-independent Schrödinger equation using Eigensystem's FEAST method. It takes a lot longer than I ...
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