Javascript must be enabled for the correct page display

The Symplectic Camel

Frieswijk, K. (2013) The Symplectic Camel. Bachelor's Thesis, Mathematics.

[img]
Preview
Text
The_Symplectic_Camel.pdf - Published Version

Download (387kB) | Preview
[img] Text
FrieswijkAkkoordWaalkens.pdf - Other
Restricted to Registered users only

Download (29kB)

Abstract

Recent advances in symplectic topology suggest that classical and quantum mechanics are much closer than might appear at first sight. After having discussed some general properties of Hamiltonian mechanics and symplectic topology, we will show that Heisenberg's uncertainty principle has left an footprint in classical mechanics. We do this by making use of a surprising theorem called Gromov's non-squeezing theorem (1985), which states that no canonical transformation can squeeze a ball B(r) with radius r through a circular hole with radius R in the phase plane, if R<r. This theorem was lovingly nicknamed "the symplectic camel".

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 07:54
Last Modified: 15 Feb 2018 07:54
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/11308

Actions (login required)

View Item View Item