The Gauge Principle from the Schrodinger-Born Wave Mechanics

Pui Tak Leung


We propose an elementary way of introducing the gauge principle to beginners with a background in only mechanics, electromagnetism, and quantum mechanics.  This evolves from an apparent conflict in the Schrodinger-Born formulation of wave mechanics, and does not have to resort to advanced concepts like covariant derivative and minimal coupling.  With such an approach, one would have appreciated how interactions can be dictated from consideration of internal symmetry of a physical system, which serves as a principle underlying the foundation of almost all modern physics.  In addition, the gauge principle also serves as a resource providing consistency between the Born rule and Schrodinger’s wave mechanics.


non relativistic quantum mechanics, gauge fields, Born rule

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