Prellberg07 - The Casimir Effect Making Sense of Infinity -...

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Unformatted text preview: The Casimir Effect Making Sense of Infinity - Infinity Conclusion The Mathematics of the Casimir Effect Thomas Prellberg School of Mathematical Sciences Queen Mary, University of London Annual Lectures February 19, 2007 Thomas Prellberg The Mathematics of the Casimir Effect The Casimir Effect Making Sense of Infinity - Infinity Conclusion Casimir forces: still surprising after 60 years Physics Today, February 2007 The Casimir effect heats up AIP News Update, February 7, 2007 Scientists devise test for string theory EE Times, February 6, 2007 Thomas Prellberg The Mathematics of the Casimir Effect The Casimir Effect Making Sense of Infinity - Infinity Conclusion Casimir forces: still surprising after 60 years Physics Today, February 2007 The Casimir effect heats up AIP News Update, February 7, 2007 Scientists devise test for string theory EE Times, February 6, 2007 Thomas Prellberg The Mathematics of the Casimir Effect The Casimir Effect Making Sense of Infinity - Infinity Conclusion Casimir forces: still surprising after 60 years Physics Today, February 2007 The Casimir effect heats up AIP News Update, February 7, 2007 Scientists devise test for string theory EE Times, February 6, 2007 Thomas Prellberg The Mathematics of the Casimir Effect The Casimir Effect Making Sense of Infinity - Infinity Conclusion Topic Outline 1 The Casimir Effect History Quantum Electrodynamics Zero-Point Energy Shift 2 Making Sense of Infinity - Infinity The Mathematical Setting Divergent Series Euler-Maclaurin Formula Abel-Plana Formula 3 Conclusion Thomas Prellberg The Mathematics of the Casimir Effect The Casimir Effect Making Sense of Infinity - Infinity Conclusion History Quantum Electrodynamics Zero-Point Energy Shift Outline 1 The Casimir Effect History Quantum Electrodynamics Zero-Point Energy Shift 2 Making Sense of Infinity - Infinity 3 Conclusion Thomas Prellberg The Mathematics of the Casimir Effect The Casimir Effect Making Sense of Infinity - Infinity Conclusion History Quantum Electrodynamics Zero-Point Energy Shift student of Ehrenfest, worked with Pauli and Bohr retarded Van-der-Waals-forces E = 23 4 ~ c R 7 Casimir and Polder, 1948 Force between cavity walls F =- 2 ~ c 240 A d 4 Casimir, 1948 Hendrik Brugt Gerhard Casimir, 1909 - 2000 Thomas Prellberg The Mathematics of the Casimir Effect The Casimir Effect Making Sense of Infinity - Infinity Conclusion History Quantum Electrodynamics Zero-Point Energy Shift student of Ehrenfest, worked with Pauli and Bohr retarded Van-der-Waals-forces E = 23 4 ~ c R 7 Casimir and Polder, 1948 Force between cavity walls F =- 2 ~ c 240 A d 4 Casimir, 1948 Hendrik Brugt Gerhard Casimir, 1909 - 2000 Thomas Prellberg The Mathematics of the Casimir Effect The Casimir Effect Making Sense of Infinity - Infinity Conclusion History Quantum Electrodynamics Zero-Point Energy Shift student of Ehrenfest, worked with Pauli and Bohr retarded Van-der-Waals-forces E = 23 4 ~ c R 7 Casimir and Polder, 1948 Force between cavity walls...
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Prellberg07 - The Casimir Effect Making Sense of Infinity -...

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