Noether’s Theorem Applied to the Classical and Schrödinger Wave Equations

Noether’s Theorem Applied to the Classical and Schrödinger Wave Equations

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Nathan Adams, Rebecca Janka, and Johnnie Renee West

Department of Physics, Southern Nazarene University

Abstract: 

Noether’s Theorem, which relates continuous transformations to conservation laws, is applied to the classical wave equation and the Schrödinger equation. Transformations are derived that lead to invariances and conservation laws.