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(A attempted derivation of the Heisenberg equations of motion from non-commutative calculus of variations) |
(Updated a couple headings and showed you how to do LaTeX with $$) |
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== Non-Commutative Calculus of Variations == | |||
== Non-Commutative Lagrangian Mechanics == | |||
A generalization of Lagrangian Mechanics to a probabilistic mechanics via not assuming that x and dx commute and using | A generalization of Lagrangian Mechanics to a probabilistic mechanics via not assuming that x and dx commute and using <!-- <a href="https://www.codecogs.com/eqnedit.php?latex=\delta&space;ExpectationValue(S)&space;=&space;0" target="_blank"><img src="https://latex.codecogs.com/gif.latex?\delta&space;ExpectationValue(S)&space;=&space;0" title="\delta ExpectationValue(S) = 0" /></a> --> | ||
$$\delta ExpectationValue(S) = 0$$ | |||
Perhaps the equations of quantum mechanics follow? | Perhaps the equations of quantum mechanics follow? |