Noether’s theorem in symmetric stochastic calculus of variations
Tetsuya Misawa
Quite recently, a symmetric stochastic calculus of variations was proposed to formulate canonical stochastic dynamics, which is an extension of Nelson’s stochastic mechanics. In this article a ‘‘Noether’s theorem’’ is formulated within this calculus of variations. Conservation laws of momentum, angular momentum, and energy are proved, which are related with the same laws in quantum mechanics.
Journal of Mathematical Physics•Oct 1, 1988•20 citations