For 10 points, identify this model system in which the infinite potential confines a single particle within a rectangular region.
The eigenenergies of this system are quantized in units of h-bar squared times pi squared over the product of two times the mass and the characteristic length dimension, and are also proportional to the square of the principal quantum number. In this system, outside the region where the potential is finite, the eigenfunctions of this system are evanescent waves described by decaying exponentials. Inside the finite potential of this system, the solutions are families of sines and cosines. This model quantum mechanical system's Hamiltonian is given by momentum squared over twice the mass, plus a potential which is zero from zero to some distance L along the x-axis, and infinite everywhere else. For 10 points, identify this model system in which the infinite potential confines a single particle within a rectangular region.
The eigenenergies of this system are quantized in units of h-bar squared times pi squared over the product of two times the mass and the characteristic length dimension, and are also proportional to the square of the principal quantum number.
particle in a box [accept infinite square well; or infinite potential well; prompt on "square well"; prompt on "potential well"]