17.02.2015 Views

The Mathematics of the Casimir Effect - School of Mathematical ...

The Mathematics of the Casimir Effect - School of Mathematical ...

The Mathematics of the Casimir Effect - School of Mathematical ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

<strong>The</strong> <strong>Casimir</strong> <strong>Effect</strong><br />

Making Sense <strong>of</strong> Infinity - Infinity<br />

Conclusion<br />

History<br />

Quantum Electrodynamics<br />

Zero-Point Energy Shift<br />

Wolfgang Pauli’s initial reaction: ‘absolute nonsense’<br />

Experimental verification<br />

Sparnaay (1958): ‘not inconsistent with’<br />

van Blokland and Overbeek (1978): experimental accuracy <strong>of</strong> 50%<br />

Lamoreaux (1997): experimental accuracy <strong>of</strong> 5%<br />

<strong>The</strong>oretical extensions<br />

Geometry dependence<br />

Dynamical <strong>Casimir</strong> effect<br />

Real media: non-zero temperature, finite conductivity, roughness, . . .<br />

We are done with <strong>the</strong> physics. Let’s look at some ma<strong>the</strong>matics!<br />

Thomas Prellberg<br />

<strong>The</strong> <strong>Ma<strong>the</strong>matics</strong> <strong>of</strong> <strong>the</strong> <strong>Casimir</strong> <strong>Effect</strong>

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!