CHEM 252 Chapter Ch2: CHEM 252 Chapter2 : How to Solve Particle in a Box Probled (step by step)
Document Summary
In quantum mechanics, the particle in a box problem is a conceptually simple problem in position space that illustrates the quantum nature of particles by only allowing discrete values of energy. In this problem, we start from schr dinger"s equation, find the energy eigenvalues, and proceed to impose normalization conditions to derive the eigenfunctions associated with those energy levels. Follow the steps below to learn how to solve the particle in a one-dimensional box problem. Schr dinger equation is one of the fundamental equations in quantum mechanics that describes how quantum states evolve in time. The time-independent equation is an eigenvalue equation, and thus, only certain eigenvalues of energy exist as solutions. Substitute the hamiltonian of a free particle into the. Lin the one-dimensional particle in a box scenario, the. This is familiar from classical mechanics as the sum of the kinetic and potential energies, but in quantum mechanics, we assume that position and momentum are operators.
