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The symplectic egg in classical and quantum mechanics
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10.1119/1.4791775
/content/aapt/journal/ajp/81/5/10.1119/1.4791775
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/81/5/10.1119/1.4791775
View: Figures

Figures

Image of Fig. 1.
Fig. 1.

An illustration of a hard-boiled egg that has been cut through its center by two different planes; the cross-sectional areas exposed by the cuts have different areas. For a symplectic egg, the cross-sectional areas will be the same no matter which plane cuts the egg.

Image of Fig. 2.
Fig. 2.

An illustration demonstrating that a phase-space ball evolving according to Hamiltonian dynamics will always cast a shadow on a plane of conjugate coordinates with an area no less than its starting value.

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/content/aapt/journal/ajp/81/5/10.1119/1.4791775
2013-04-16
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The symplectic egg in classical and quantum mechanics
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/81/5/10.1119/1.4791775
10.1119/1.4791775
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