Abstract
Since the aim of the first part of this book is to discuss classical mechanics from the symplectic point of view, some readers might be a little surprised by the title of the present chapter because it has a certain quantum-mechanical connotation. In fact “uncertainty principles” are mostly studied within the realm of quantum mechanics, even if the study of uncertainties is also a part of classical statistical mechanics. However, as we have shown in our paper [72], the formalism of the uncertainty principle is actually not as “quantum” as it may seem, but appears in classical mechanics if one uses the notion of symplectic capacity.
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© 2011 Springer Basel AG
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de Gosson, M.A. (2011). Uncertainty Principles. In: Symplectic Methods in Harmonic Analysis and in Mathematical Physics. Pseudo-Differential Operators, vol 7. Springer, Basel. https://doi.org/10.1007/978-3-7643-9992-4_6
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DOI: https://doi.org/10.1007/978-3-7643-9992-4_6
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Publisher Name: Springer, Basel
Print ISBN: 978-3-7643-9991-7
Online ISBN: 978-3-7643-9992-4
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