Emmy Noether and Linear Evolution Equations

Authors

  • P. G. L. Leach

DOI:

https://doi.org/10.14311/1811

Keywords:

Lagrangian, Hamitonian, Schrödinger, Black-Scholes-Merton

Abstract

Noether’s Theorem relates the Action Integral of a Lagrangian with symmetries which leave it invariant and the first integrals consequent upon the variational principle and the existence of the symmetries. These each have an equivalent in the Schrödinger Equation corresponding to the Lagrangian and by extension to linear evolution equations in general. The implications of these connections are investigated.

Author Biography

P. G. L. Leach

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Published

2013-01-03

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Section

Articles