The Particle in a Box Warrants an Examination

The particle in a box is simple model that has classical Hamiltonian H = p2 (using 2m 1), with limited coordinate space, -b q b, where 0 b < ∞. Using canonical quantization, this example been fully studied thanks to its simplicity, and it common for beginners understand. Despite repeated analysis, there feature puts the past results into question. In addition pointing out quantization issue, procedures of affine can lead proper necessarily points toward more complicated eigenfunctions eigenvalues, which deserve be solved.