- #1
lozzyjay
- 16
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Homework Statement
i have a finite square well and I have to calculate how many bound states exist in it. I have the depth and the width of the well but I cannot find an equation anywhere to help me calculate it?
The equation used is the Schrödinger equation, which is a differential equation that describes the behavior of quantum particles in a potential well.
The Schrödinger equation is solved for a specific potential well, taking into account the shape and depth of the well. The solutions to the equation, known as wavefunctions, represent the possible energy states of a particle in the well.
Yes, the Schrödinger equation can be applied to any type of potential well, as long as the potential is well-defined and not infinitely deep.
Yes, there are simplifications and assumptions made in order to solve the Schrödinger equation for a potential well. These include the assumption of a one-dimensional system, the use of certain boundary conditions, and neglecting any external influences on the particle.
The bound states in a well correspond to the energy levels of the particle, with each bound state having a specific energy value. As the depth of the well increases, the number of bound states also increases, resulting in more energy levels for the particle to occupy.