Schrodinger Equation
Overview
The Schrodinger equation is an equation that describes particles at the quantum level. It was first postulated by
Erwin Schrodinger in 1925. It describes the dynamics of a wave function {% \Psi(x,t) %} which is used to calculate
probabilities of the particle being observed in various states.
Equation
The Schrodinger equation is given as
{% i \hbar \Psi(x,t) = [- \frac{\hbar ^2}{2m} \frac{\partial ^2}{\partial x^2} + V(x,t)] \Psi(x,t) %}
Operator Formalism
{% i \hbar \Psi(x,t) = \hat{H} \Psi(x,t) %}
where {% \hat{H} %} is the Hamiltonian operator,
{% \hat{H} = - \frac{\hbar ^2}{2m} \frac{\partial ^2}{\partial x^2} + V(x,t) %}
Topics
Examples
