06. Development of Schrodinger's equation
Slides and transcripts: https://drive.google.com/drive/folder...
ERRATA: at 1:28:24, rho(r,t) should read P_x(t)
0:00 Recap
5:25 Introduction
9:23 Minimization principles of Fermat and Hamilton
14:28 Action is phase
22:47 Deriving Schrodinger's equation
25:29 The hydrogen atom
44:06 Wave function as charge density
45:55 Multipole expansion
53:04 Schrodinger equation as an eigenvalue problem
58:50 Schrodinger equation and matrix mechanics
1:07:32 Dispersion
1:15:03 Time-independent perturbation theory
1:20:38 Perturbation theory and degeneracy
1:23:47 Oscillating perturbation
1:29:13 Successes and failures of Schrodinger's wave mechanics
1:31:42 Born's interpretation of the wave function (quantum scattering)
1:36:37 Philosophical considerations
1:44:00 Determinism, free will, morality, faith-based beliefs
2:00:10 A brief comment on interpreting quantum mechanics
