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EnergyRB is an application which numerically finds the eigenenergies and eigenfunctions for the time independent Schrödinger equation in one dimension. The application uses REALbasic's RbScript, so almost any potential energy function can be entered by the user. This function is translated into machine language, so the numerical calculation proceeds as rapidly as if the potential function had been compiled into the application from the source code.

EnergyRB uses a "shooting" method in which both even and non-even potentials are handled in the same manner. The units are based on h/2? = m = 1.

In the graph the wave function is in black, the potential energy function is in red, and the energy level is in green.

In general, if one counts the excursions of the wave function above and below the x-axis and subtracts one, this gives the order of the energy with 0 = ground state, 1 = first excited state, etc. Get EnergyRB and take it for a spin to see what it can actually do for you!