Uploaded January 2023 | Updated September 2026, 2 weeks ago
Another eigenfunction video, here for the precious ellipse blessing this channel so far with approx 70k thumbs up.
It is interesting but perhaps not surprising that the nodal lines in some of the states exhibit both hyperbolic and elliptic geometries, also seen in a classical ellipse billiard for a ray trace starting "outside" a focal point (elliptic) and "inside" a focal point (hyperbola).
Music by @gpcbass; another reuse from previous videos here. It's called GravityY.
Visuals done in Python and FFmpeg.
Another eigenfunction video, here for the precious ellipse blessing this channel so far with approx 70k thumbs up.
It is interesting but perhaps not surprising that the nodal lines in some of the states exhibit both hyperbolic and elliptic geometries, also seen in a classical ellipse billiard for a ray trace starting "outside" a focal point (elliptic) and "inside" a focal point (hyperbola).
Music by @gpcbass; another reuse from previous videos here. It's called GravityY.
Visuals done in Python and FFmpeg.
