From Schrödinger to Klein-Gordon: A Journey Through Symmetries
Non-relativistic quantum mechanics. Describes low-energy systems beautifully but fails at high velocities.
Relativistic wave equation. First attempt to merge quantum mechanics with special relativity.
The language that distinguishes these equations. Different symmetries reveal different physics.
The transition from Schrödinger to Klein-Gordon represents more than a mathematical upgrade—it's a fundamental shift in symmetry from the Galilean group to the Poincaré group, marking the birth of relativistic quantum field theory.
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