Introducing
Your new presentation assistant.
Refine, enhance, and tailor your content, source relevant images, and edit visuals quicker than ever before.
Trending searches
Diederik Roest
Feb 13, 2020
Click to edit text
Linear superposition of simple states
Three quantum numbers:
n - excited state
l, m - magnitude and orientation
of angular momentum
Time-independent systems: energy conserved
Spectrum of states in general very complicated
Rotational symmetry: independent of orientation
Energy depends on n and l
Special case: hydrogen atom with Coulomb potential
Energy depends only on n... why?
Claim: due to additional symmetry!
Problems with Newton's gravity:
- instantaneous (what about c?)
- distance (according to whom?)
- why are inertial and gravitational mass identical ?!?
From special to general relativity?
Einstein: the solution is General Relativity, with a spin-2 field (curved space-time).
Propagation through field addresses problems, and includes equivalence principle
Claim: alternative with spin-0 field, also compatible with equivalence principle
Any non-relativistic system with a 1/r potential has additional symmetry
Hydrogen atom
Kepler problem
Most relativistic systems break this symmetry:
spin-0 field
spin-2 field
goes in the wrong direction...
explains anomalous orbit of Mercury
Hidden symmetry important for quantum gravity:
Can be preserved by including both spin-0 and spin-2 fields. Toy model?