Speaker
Jason Tran
(Georgetown University)
Description
As a more student-friendly approach, decoupling the differential equations typically found in central force problems allows for a simpler, more efficient solution to the orbits of the Kepler problem by removing the need for complex integral analysis. As an additional bonus, the quantization of radial variables uncovers a deeper connection between the Keplerian orbits and quantum mechanical Hamiltonians of hydrogen states, perfect for junior and senior undergraduate physics students. The original idea for this comes from the 1930 textbook Elementare Quantenmechanik by Born and Jordan.
Primary author
Jason Tran
(Georgetown University)
Co-authors
James Freericks
(Georgetown University)
Leanne Doughty
(Georgetown University)