# Particle in an Infinite Vee Potential

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This Demonstration considers solutions of the Schrödinger equation for a particle in a one-dimensional "infinite vee" potential: , setting for simplicity. The solutions of the differential equation that approach zero as are Airy functions , as can be found using DSolve in *Mathematica*. The allowed values of are found by requiring continuity of at . The even solutions require , which leads to , with , , , … being the first, second, third, … zeros of the Airy prime function: . The odd solutions have nodes , which leads to , with , , , … being the first, second, third, … zeros of the Airy function: . The ground state is given by .

Contributed by: S. M. Blinder (November 2010)

Open content licensed under CC BY-NC-SA

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