Puleston, James (2020) Tunnelling Times in Quantum Mechanics. UNSPECIFIED, Cambridge.
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Abstract
In this essay I survey recent developments in the theory of tunnelling times in quantum mechanics. The study of this concept is polarised depending on one’s interpretation of quantum mechanics, which require different approaches and yield starkly different results. I survey this topic through the lenses of the orthodox (Copenhagen) and de Broglie-Bohm (pilot wave) interpretations, presenting the requisite theory and definitions and expounding the literature of the original authors through proofs and figures. I do this in sections 2 and 3 respectively. Before embarking on tunnelling times as a topic, I survey the conceptual aspects of how time is treated in classical and quantum mechanics. This topic has many subtle aspects which have hindered progress in understanding tunnelling times in the past. In this essay I hope to demonstrate the success that has been achieved in recent years, but also that further theoretical and experimental work is required, if we are to arrive at a universally accepted definition of tunnelling times in quantum mechanics - if indeed such a definition exists.
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| Item Type: | Other | ||||||
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| Additional Information: | This essay was submitted for partial fulfilment of the Mathematics Master's course "Part III" at the University of Cambridge | ||||||
| Keywords: | Tunnelling times, orthodox interpretation, de Broglie-Bohm theory, numerical analysis | ||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics |
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| Depositing User: | Mr James Puleston | ||||||
| Date Deposited: | 16 Apr 2021 14:23 | ||||||
| Last Modified: | 16 Apr 2021 14:23 | ||||||
| Item ID: | 17667 | ||||||
| Journal or Publication Title: | Cambridge University Part III Mathematics Essay | ||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics |
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| Date: | 14 May 2020 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/17667 |
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Tunnelling Times in Quantum Mechanics. (deposited 26 Jul 2020 06:27)
- Tunnelling Times in Quantum Mechanics. (deposited 16 Apr 2021 14:23) [Currently Displayed]
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