Atomism & Quantization
1 hour 3 mins 36 secs,
58.24 MB,
MP3
44100 Hz,
125.02 kbits/sec
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| Description: |
Juerg Froehlich (ETH Zurich)
Monday 27 October 2008, 17:00-18:00 |
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| Created: | 2009-01-07 15:23 | ||||
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| Collection: | Rothschild Seminars | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Juerg Froehlich | ||||
| Language: | eng (English) | ||||
| Distribution: |
World
(downloadable)
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| Credits: |
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| Explicit content: | No | ||||
| Aspect Ratio: | 4:3 | ||||
| Screencast: | No | ||||
| Bumper: | UCS Default | ||||
| Trailer: | UCS Default | ||||
| Abstract: | In this lecture, I will show how the atomistic structure of matter emerges from theories that treat matter as a continuous medium by a process of quantization. The parameter that occupies the role of Planck's constant in the usual quantization of hamiltonian mechanics is a measure of the strength of interactions between "atoms of matter".
I will discuss the examples of Newtonian mechanics of point particles, which can be understood as a quantization of the continuum mechanics described by the Vlasov Equation, and of interacting Bose gases, understood as the quantization of Hartree theory. I will then show how continuum theories of matter emerge from atomistic theories in the mean-field limit where the strength of interactions between "atoms of matter" tends to zero, but the number of such "atoms" tends to infinity. I will conclude by outlining how the Newtonian mechanics of point particles can also emerge as a theory of solitary wave solutions of some non-linear hamiltonian evolution equations treating matter as a continuous medium. Original web seminar at: http://www.newton.ac.uk/programmes/MPA/seminars/102717001.html In association with the Newton Mathematics and Physics of Anderson Localization: 50 Years After programme: http://www.newton.ac.uk/programmes/MPA/ |
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