### The Rise of Quantum Mechanics: Schrodinger's Wave Equation

In late 1925 Erwin Schrodinger, prompted by a question asked by Sommerfeld in a seminar Schrodinger had given, developed the wave equation. This lecture discusses the 1-dimensional, time independent Schrodinger equation for a single particle. We set up a sample problem, for a single particle trapped in an infinitely deep potential energy well and found solutions (by inspection) for the wave equation in 3 different regions (outside the box, where it is zero, and inside the box). We discussed the basic form of the Hamiltonian operator.

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