October 19, 2024
CEBAF Center, Thomas Jefferson National Accelerator Facility
US/Eastern timezone
See you next year at the CSAAPT Spring 2025 Meeting at GMU, April 5, 2025!

Efficient Solution for Kepler Orbits Yields Natural Relationship to Quantum Hamiltonians for Intermediate-Level Physics Courses

Not scheduled
15m
Atrium/Lobby (CEBAF Center)

Atrium/Lobby

CEBAF Center

Poster Atrium/Lobby

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)

Presentation materials

There are no materials yet.