Quantization as an Eigenvalue Problem

Mohammad Sharifi, Physics & Mathematics Undergraduate Student, Sharif University of Technology

Date: September 14, 2020


In January 1926, Schrödinger published in Annalen der Physik the paper “Quantisierung als Eigenwertproblem” (Quantization as an Eigenvalue Problem) on wave mechanics and presented what is now known as the Schrödinger equation. In this paper, he gave a “derivation” of the wave equation for time-independent systems and showed that it gave the correct energy eigenvalues for a hydrogen-like atom.
In this presentation after deriving Schrödinger equation from Hamilton-Jacobi formalism, we discussed about his particular solution for hydrogen-like atom.