PHYSICS · Subjective · Fermi University Physics · Quantum Mechanics · Wave mechanics in one dimension · Wave mechanics in one dimension
Quantum Mechanics: From the Photon to the Hydrogen Atom, Ch The Schrödinger equation and the Born rule
Problem
A particle of mass m moves along a vertical line x, measured upward, near the Earth's surface, where its potential energy is V(x)=mgx with g the acceleration of free fall. Write the Schrödinger equation this particle's wave function Ψ(x,t) obeys, and state which term of your equation carries the effect of gravity.