Next Article in Journal
On the Significance of the Quantum Mechanical Covariance Matrix
Next Article in Special Issue
A Quantum Ruler for Magnetic Deflectometry
Previous Article in Journal
Assessing Information Transmission in Data Transformations with the Channel Multivariate Entropy Triangle
Previous Article in Special Issue
Fundamental Irreversibility: Planckian or Schrödinger–Newton?
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

The Symplectic Camel and Poincaré Superrecurrence: Open Problems

by
Maurice A. de Gosson
Faculty of Mathematics, NuHAG, University of Vienna, 1090 Vienna, Austria
Entropy 2018, 20(7), 499; https://doi.org/10.3390/e20070499
Submission received: 26 May 2018 / Revised: 21 June 2018 / Accepted: 26 June 2018 / Published: 28 June 2018
(This article belongs to the Special Issue Emergent Quantum Mechanics – David Bohm Centennial Perspectives)

Abstract

Poincaré’s Recurrence Theorem implies that any isolated Hamiltonian system evolving in a bounded Universe returns infinitely many times arbitrarily close to its initial phase space configuration. We discuss this and related recurrence properties from the point of view of recent advances in symplectic topology which have not yet reached the Physics community. These properties are closely related to Emergent Quantum Mechanics since they belong to a twilight zone between classical (Hamiltonian) mechanics and its quantization.
Keywords: Poincaré recurrence; symplectic camel; quantum mechanics; Hamiltonian Poincaré recurrence; symplectic camel; quantum mechanics; Hamiltonian

Share and Cite

MDPI and ACS Style

Gosson, M.A.d. The Symplectic Camel and Poincaré Superrecurrence: Open Problems. Entropy 2018, 20, 499. https://doi.org/10.3390/e20070499

AMA Style

Gosson MAd. The Symplectic Camel and Poincaré Superrecurrence: Open Problems. Entropy. 2018; 20(7):499. https://doi.org/10.3390/e20070499

Chicago/Turabian Style

Gosson, Maurice A. de. 2018. "The Symplectic Camel and Poincaré Superrecurrence: Open Problems" Entropy 20, no. 7: 499. https://doi.org/10.3390/e20070499

APA Style

Gosson, M. A. d. (2018). The Symplectic Camel and Poincaré Superrecurrence: Open Problems. Entropy, 20(7), 499. https://doi.org/10.3390/e20070499

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop