The lowest energy eigenvalues

[eman2009]

Homework Statement

compute and plot the 10 lowest energy eigenvalues of a particleinan infinity deep spherically symmetric square well?

Homework Equations

The Attempt at a Solution

 

[Hootenanny]

You seem to have left the final two sections blank:

Homework Equations

The Attempt at a Solution

 

[nlightner]

I would approach this problem by first understanding the concept of energy eigenvalues in a particle in an infinite deep spherically symmetric square well. This system is described by the Schrödinger equation, which is a fundamental equation in quantum mechanics that describes the behavior of particles in a potential.

To compute the lowest energy eigenvalues, I would use numerical methods such as the finite difference method or the shooting method. These methods involve discretizing the Schrödinger equation and solving it iteratively to obtain the energy eigenvalues.

Once the eigenvalues are computed, I would plot them on a graph to visualize the energy levels of the particle in the square well. The lowest 10 energy eigenvalues would be represented by the first 10 points on the graph, with the lowest energy eigenvalue being the ground state energy.

It is important to note that the energy eigenvalues of a particle in a square well are quantized, meaning they can only take on discrete values. This is a fundamental concept in quantum mechanics and is a result of the wave-like nature of particles.

In conclusion, to compute and plot the 10 lowest energy eigenvalues of a particle in an infinite deep spherically symmetric square well, I would use numerical methods and plot the results to visualize the quantized energy levels of the system.