Asked by: Yokasta Bilhau
asked in category: General Last Updated: 15th April, 2020

How do you solve a particle in a box problem?

Numerical Solution for a Particle in a Box
  1. Start at x = 0 m and ψ = 0 (also I will pick ψ-dot equal to zero).
  2. Use Schrödinger's equation to calculate ψ-double dot.
  3. Use ψ-double dot to calculate ψ-dot.
  4. Use ψ-dot to calculate ψ.
  5. Update the x-position and do it again until you get to the end of the box.

Click to see full answer.


People also ask, what is particle in a box used for?

Because of its mathematical simplicity, the particle in a box model is used to find approximate solutions for more complex physical systems in which a particle is trapped in a narrow region of low electric potential between two high potential barriers.

Secondly, what is zero point energy of a particle in one dimensional box? The energy of a particle is quantized and. The lowest possible energy of a particle is NOT zero. This is called the zero-point energy and means the particle can never be at rest because it always has some kinetic energy.

Likewise, people ask, what is the minimum energy possessed by the particle in a box?

Explanation: The minimum energy possessed by a particle inside a box with infinitely hard walls is equal to frac{pi^2hbar^2}{2mL^2}. The particle can never be at rest, as it will violate Heisenberg's Uncertainty Principle.

Why potential energy is zero inside the box?

So, the particle inside the box experiences zero potential inside and it can not come out of the box as the potential outside of it is infinite. Again, as it is one dimensional, so the particle is only capable to move in one dimension,i.e. it has only one degree of freedom. It is also known as infinite potential well.

31 Related Question Answers Found

Can a particle have zero energy?

What is box normalization?

Why energy is quantized?


What is time independent Schrodinger equation?

How does Zeropoint energy work?

Where is a particle most likely to be found?


What does the Hamiltonian operator do?

What is the probability of finding an electron?

What will happen if the walls of the one dimensional box are suddenly removed?


What is a wave function of an electron?

How do you find the probability of a wave function?

What are the units of the wave function in a one dimensional situation?