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On Shell And Off Shell




For instance, in Classical Mechanics in the Action formulation, extremal solutions to the Variational Principle are on shell and the Euler-Lagrange Equation s are on shell equations (i.e. they do not hold off shell). Noether's Theorem is also another on shell theorem.


MASS SHELL


The term comes from the phrase ''mass shell'', which is a synonym for ''mass hyperboloid'', meaning the Hyperboloid in Energy - Momentum space describing the solutions to the equation