Quantum Mechanics 13 - Schrodinger Wave Equation

          @misc{ pirsa_PIRSA:08080088,
            doi = {},
            url = {https://pirsa.org/08080088},
            author = {Epp, Richard},
            keywords = {},
            language = {en},
            title = {Quantum Mechanics 13 - Schrodinger Wave Equation},
            publisher = {Perimeter Institute},
            year = {2008},
            month = {aug},
            note = {PIRSA:08080088 see, \url{https://pirsa.org}}
          }
          

Abstract

A “derivation” of the Schrodinger wave equation based on simple calculus.
Learning Outcomes:
• How to express the de Broglie wave of a free particle, i.e. a complex traveling wave, in terms of the particle’s energy and momentum, and how to differentiate this wave with respect to its space and time variables (x and t).
• How to combine the above mathematical results with the Newtonian expression for the total energy of a particle to get Schrodinger’s wave equation.
• Dirac’s extension of these ideas to Einstein’s expression for the total energy of a particle: introduction to spin, antimatter, and the Standard Model of particle physics.