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5
votes
1answer
67 views

How to change the default normalization for NDEigensystem?

I'm currently using NDEigensystem to solve a PDE that describes a particle travelling on a hyperbolic (negatively curved) surface. However, the eigenfunctions that are returned by NDEigensystem are ...
0
votes
0answers
73 views

Diverging solution to radial equation

I want to solve a seemingly simple eigenvalue problem. I have a fixed set of boundary conditions given and want to change the complex parameter omega in to minimize exponentially falling solutions for ...
1
vote
0answers
46 views

Fast Plot3D, failing NIntegrate, and reckless surgery

I have a square matrix, m which depends on kx and ky. It isn't Hermitian, but it does have ...
3
votes
1answer
170 views

Eigenvalues of a non-Hermitian complex periodic potential

I have an eigenvalue problem: $$-\frac{d^2}{dx^2} \psi(x) +V(x)\psi(x) = E \psi(x)$$ where $V(x)$ is a complex periodic potential: $$V(x) = 4[\cos^2(x) + i 0.3 \sin(2x)]$$ It has been claimed that ...
0
votes
1answer
57 views

Filter out eigenvalues in NDEigenfunction

I am going to solve TISE for logarithmic potential in two dimensions. For bound state solution, the energy eigenvalues are to come negative. This is my code: ...
10
votes
1answer
547 views

Nonlinear ODE eigenvalue problem

How does one find eigenvalues $\lambda$ of the following problem? $$ \frac{\mathrm{d}^2 u}{\mathrm{d}x^2} = \lambda \left( -u + u^2 \right),$$ $$ u(0) = u(1) = 0. $$ Can this be tackled by ...
13
votes
3answers
828 views

An ODE system easily polluted with spurious eigenvalues

I tried solving the eigenvalue problem of a 1st-order ODE system (see the code below) with NDEigenvalue. (One option I found in it seems to be ...
3
votes
1answer
59 views

Getting the overlap of NDEigenfunctions of different problems

I am solving a number of Schrödinger eigenvalue problems for an array of different potentials, and I would like to calculate, in a quick, efficient and natural way, the overlap between the different ...
6
votes
1answer
428 views

NDSolve eigenvalue problem of bound state

I am trying to solve this eigenvalue problem: \begin{align} \mu \Psi(r) & = -\frac{1}{2}\left ( \Psi^{\prime \prime}(r) + \frac{2}{r} \Psi' (r)\right ) -4\pi \Psi(r) \int _0^\infty dr' r'^2 \frac{...
0
votes
0answers
79 views

How to solve the eigenvalue problem that arises in stability of flows

I am an undergraduate student and I want to know how to solve this hydrodynamic stability problem. I tried but all my efforts have failed. Your suggestions will help me a lot. The equations are <...
0
votes
1answer
134 views

How to solve the following system with NDSolve and FindRoot? Please address

Consider the following coupled systems of equations $f′′− k^2 f=k\, \mathbf{Ra}$ and $g′′− k^2 g=k\,f$ , where $f$ and $g$ are functions of $z$. The boundary conditions for the problem are $f=0$ and ...