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Birkhäuser Boston eBooks

Probabilistic Interpretation of the Symmetry Group of Heat Equations

Jean-Claude Zambrini

Published Jan 1, 1998• 1 citation
Publisher

Abstract

After recalling the crucial role of first integrals (or constants of the motion) in classical and quantum dynamics, we show why the concept of martingale is their natural probabilistic counterpart. This is used in the framework of Euclidean Quantum Mechanics, a probabilistic approach to quantization. The relevant Theorem of Noether is shown; it is founded on a new probabilistic interpretation of the symmetry group of some heat equations. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

DOI
10.1007/978-1-4612-2022-0_20

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